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Precision of Fit of Titanium and Cast Implant Frameworks Using a New Matching Formula

Identifieur interne : 002D41 ( Pmc/Curation ); précédent : 002D40; suivant : 002D42

Precision of Fit of Titanium and Cast Implant Frameworks Using a New Matching Formula

Auteurs : Marianella Sierraalta [États-Unis] ; Jose L. Vivas [États-Unis] ; Michael E. Razzoog [États-Unis] ; Rui-Feng Wang [États-Unis]

Source :

RBID : PMC:3328952

Abstract

Statement of the Problem. Fit of prosthodontic frameworks is linked to the lifetime survival of dental implants and maintenance of surrounding bone. Purpose. The purpose of this study was to evaluate and compare the precision of fit of milled one-piece Titanium fixed complete denture frameworks to that of conventional cast frameworks. Material and Methods. Fifteen casts fabricated from a single edentulous CAD/CAM surgical guide were separated in two groups and resin patterns simulating the framework for a fixed complete denture developed. Five casts were sent to dental laboratories to invest, cast in a Palladium-Gold alloy and fit the framework. Ten casts had the resin pattern scanned for fabrication of milled bars in Titanium. Using measuring software, positions of implant replicas in the definitive model were recorded. The three dimensional spatial orientation of each implant replica was matched to the implant replica. Results. Results demonstrated the mean vertical gap of the Cast framework was 0.021 (+0.004) mm and 0.012 (0.002) mm determined by fixed and unfixed best-fit matching coordinate system. For Titanium frameworks they were 0.0037 (+0.0028) mm and 0.0024 (+0.0005) mm, respectively. Conclusions. Milled one-piece Titanium fixed complete denture frameworks provided a more accurate precision of fit then traditional cast frameworks.


Url:
DOI: 10.1155/2012/374315
PubMed: 22550486
PubMed Central: 3328952

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<name sortKey="Sierraalta, Marianella" sort="Sierraalta, Marianella" uniqKey="Sierraalta M" first="Marianella" last="Sierraalta">Marianella Sierraalta</name>
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<name sortKey="Vivas, Jose L" sort="Vivas, Jose L" uniqKey="Vivas J" first="Jose L." last="Vivas">Jose L. Vivas</name>
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<name sortKey="Wang, Rui Feng" sort="Wang, Rui Feng" uniqKey="Wang R" first="Rui-Feng" last="Wang">Rui-Feng Wang</name>
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<p>
<italic>Statement of the Problem</italic>
. Fit of prosthodontic frameworks is linked to the lifetime survival of dental implants and maintenance of surrounding bone.
<italic>Purpose</italic>
. The purpose of this study was to evaluate and compare the precision of fit of milled one-piece Titanium fixed complete denture frameworks to that of conventional cast frameworks.
<italic>Material and Methods</italic>
. Fifteen casts fabricated from a single edentulous CAD/CAM surgical guide were separated in two groups and resin patterns simulating the framework for a fixed complete denture developed. Five casts were sent to dental laboratories to invest, cast in a Palladium-Gold alloy and fit the framework. Ten casts had the resin pattern scanned for fabrication of milled bars in Titanium. Using measuring software, positions of implant replicas in the definitive model were recorded. The three dimensional spatial orientation of each implant replica was matched to the implant replica.
<italic>Results</italic>
. Results demonstrated the mean vertical gap of the Cast framework was 0.021 (+0.004) mm and 0.012 (0.002) mm determined by fixed and unfixed best-fit matching coordinate system. For Titanium frameworks they were 0.0037 (+0.0028) mm and 0.0024 (+0.0005) mm, respectively.
<italic>Conclusions</italic>
. Milled one-piece Titanium fixed complete denture frameworks provided a more accurate precision of fit then traditional cast frameworks.</p>
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<pmc article-type="research-article">
<pmc-dir>properties open_access</pmc-dir>
<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">Int J Dent</journal-id>
<journal-id journal-id-type="iso-abbrev">Int J Dent</journal-id>
<journal-id journal-id-type="publisher-id">IJD</journal-id>
<journal-title-group>
<journal-title>International Journal of Dentistry</journal-title>
</journal-title-group>
<issn pub-type="ppub">1687-8728</issn>
<issn pub-type="epub">1687-8736</issn>
<publisher>
<publisher-name>Hindawi Publishing Corporation</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="pmid">22550486</article-id>
<article-id pub-id-type="pmc">3328952</article-id>
<article-id pub-id-type="doi">10.1155/2012/374315</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Precision of Fit of Titanium and Cast Implant Frameworks Using a New Matching Formula</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Sierraalta</surname>
<given-names>Marianella</given-names>
</name>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="cor1">*</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Vivas</surname>
<given-names>Jose L.</given-names>
</name>
<xref ref-type="aff" rid="I2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Razzoog</surname>
<given-names>Michael E.</given-names>
</name>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Rui-Feng</given-names>
</name>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="I1">
<sup>1</sup>
Division of Prosthodontics, Department of Biologic and Material Science, The University of Michigan, School of Dentistry, 1011 North University Avenue, Ann Arbor, MI 48109-1078, USA</aff>
<aff id="I2">
<sup>2</sup>
Department of Cariology, Restorative Sciences, and Endodontics, The University of Michigan, School of Dentistry, Ann Arbor, MI 48109-1078, USA</aff>
<author-notes>
<corresp id="cor1">*Marianella Sierraalta:
<email>msierraa@umich.edu</email>
</corresp>
<fn fn-type="other">
<p>Academic Editor: Stephen Richmond</p>
</fn>
</author-notes>
<pub-date pub-type="ppub">
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>8</day>
<month>4</month>
<year>2012</year>
</pub-date>
<volume>2012</volume>
<elocation-id>374315</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>11</month>
<year>2011</year>
</date>
<date date-type="rev-recd">
<day>6</day>
<month>1</month>
<year>2012</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>1</month>
<year>2012</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright © 2012 Marianella Sierraalta et al.</copyright-statement>
<copyright-year>2012</copyright-year>
<license xlink:href="https://creativecommons.org/licenses/by/3.0/">
<license-p>This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<abstract>
<p>
<italic>Statement of the Problem</italic>
. Fit of prosthodontic frameworks is linked to the lifetime survival of dental implants and maintenance of surrounding bone.
<italic>Purpose</italic>
. The purpose of this study was to evaluate and compare the precision of fit of milled one-piece Titanium fixed complete denture frameworks to that of conventional cast frameworks.
<italic>Material and Methods</italic>
. Fifteen casts fabricated from a single edentulous CAD/CAM surgical guide were separated in two groups and resin patterns simulating the framework for a fixed complete denture developed. Five casts were sent to dental laboratories to invest, cast in a Palladium-Gold alloy and fit the framework. Ten casts had the resin pattern scanned for fabrication of milled bars in Titanium. Using measuring software, positions of implant replicas in the definitive model were recorded. The three dimensional spatial orientation of each implant replica was matched to the implant replica.
<italic>Results</italic>
. Results demonstrated the mean vertical gap of the Cast framework was 0.021 (+0.004) mm and 0.012 (0.002) mm determined by fixed and unfixed best-fit matching coordinate system. For Titanium frameworks they were 0.0037 (+0.0028) mm and 0.0024 (+0.0005) mm, respectively.
<italic>Conclusions</italic>
. Milled one-piece Titanium fixed complete denture frameworks provided a more accurate precision of fit then traditional cast frameworks.</p>
</abstract>
</article-meta>
</front>
<floats-group>
<fig id="fig1" position="float">
<label>Figure 1</label>
<caption>
<p>The unfixed matching coordinate system method: 120 possible matching rectangular coordinate systems for a framework containing 6 abutment replicas (possible to form: 6 Origins × 5
<italic>X</italic>
-axes × 4
<italic>XY</italic>
-planes = 120 coordinate system).</p>
</caption>
<graphic xlink:href="IJD2012-374315.001"></graphic>
</fig>
<table-wrap id="tab1" position="float">
<label>Table 1</label>
<caption>
<p>The best-fit matching results in
<italic>μ</italic>
m of the cast frameworks to their respective master casts using the fixed method of alignment. 0,0, 0 represents the matching centroid position,
<italic>x</italic>
, 0,0 and
<italic>x</italic>
,
<italic>y</italic>
, 0 represent the best fit centroids for that position. The final column is the mean vertical gap at that position centroid.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="2" colspan="1">Specimen</th>
<th align="center" colspan="3" rowspan="1">Best-fit coordinate system</th>
<th align="center" rowspan="1" colspan="1">Cast</th>
</tr>
<tr>
<th align="center" rowspan="1" colspan="1">(0,0, 0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
, 0,0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
,
<italic>y</italic>
, 0)</th>
<th align="center" rowspan="1" colspan="1">centroid</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">12.6</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">5.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">44.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">52.7</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">7.6</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">5.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">Minimum</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">5.8</td>
</tr>
<tr>
<td align="left" colspan="5" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">31.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">19.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">23.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">58.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">26.5</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">28.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">Minimum</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">19.3</td>
</tr>
<tr>
<td align="left" colspan="5" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">15.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">223.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">18.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">49.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">16.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">12.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">Minimum</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">12.8</td>
</tr>
<tr>
<td align="left" colspan="5" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">28.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">22.7</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">71.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">17.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">51.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">26.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">Minimum</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">17.2</td>
</tr>
<tr>
<td align="left" colspan="5" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">19.5</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">12.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">12.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">18.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">19.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">12.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">Minimum</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">12.1</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab2" position="float">
<label>Table 2</label>
<caption>
<p>The best-fit matching results in
<italic>μ</italic>
m of the number 2 through number 5 cast frameworks to their respective master casts using the fixed method of alignment and the vertical gap at the best positions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="2" colspan="1">Specimen</th>
<th align="center" colspan="3" rowspan="1">Best-fit coordinate system</th>
<th align="center" rowspan="1" colspan="1">Cast</th>
</tr>
<tr>
<th align="center" rowspan="1" colspan="1">(0,0, 0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
, 0,0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
,
<italic>y</italic>
, 0)</th>
<th align="center" rowspan="1" colspan="1">centroid</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">5.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">19.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">12.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">17.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">12.1</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab3" position="float">
<label>Table 3</label>
<caption>
<p>The best-fit matching results in
<italic>μ</italic>
m of the cast frameworks to their respective master casts using the unfixed method of alignment.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="2" colspan="1">Specimen</th>
<th align="center" colspan="3" rowspan="1">Best-fit coordinate system</th>
<th align="center" rowspan="1" colspan="1">Titan.</th>
</tr>
<tr>
<th align="center" rowspan="1" colspan="1">(0,0, 0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
, 0,0)</th>
<th align="center" rowspan="1" colspan="1">(
<italic>x</italic>
,
<italic>y</italic>
, 0)</th>
<th align="center" rowspan="1" colspan="1">centroid</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">2.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">4.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">3.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">4.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">3.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">6</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">1.5</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">7</td>
<td align="center" rowspan="1" colspan="1">no. 4</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">1.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">8</td>
<td align="center" rowspan="1" colspan="1">no. 6</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">0.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1">no. 3</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">1.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">no. 1</td>
<td align="center" rowspan="1" colspan="1">no. 2</td>
<td align="center" rowspan="1" colspan="1">no. 5</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab4" position="float">
<label>Table 4</label>
<caption>
<p>The cast [test-master] best-fit differences of each component centroid in
<italic>μ</italic>
m.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="2" colspan="1">Specimen</th>
<th align="center" rowspan="1" colspan="1"></th>
<th align="center" colspan="6" rowspan="1">Component</th>
</tr>
<tr>
<th align="center" rowspan="1" colspan="1"></th>
<th rowspan="1" colspan="1">no. 1</th>
<th align="center" rowspan="1" colspan="1">no. 2</th>
<th align="center" rowspan="1" colspan="1">no. 3</th>
<th align="center" rowspan="1" colspan="1">no. 4</th>
<th align="center" rowspan="1" colspan="1">no. 5</th>
<th align="center" rowspan="1" colspan="1">no. 6</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">−21.6</td>
<td align="center" rowspan="1" colspan="1">−44.6</td>
<td align="center" rowspan="1" colspan="1">107.2</td>
<td align="center" rowspan="1" colspan="1">−53.0</td>
<td align="center" rowspan="1" colspan="1">81.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">118.0</td>
<td align="center" rowspan="1" colspan="1">11.8</td>
<td align="center" rowspan="1" colspan="1">−10.6</td>
<td align="center" rowspan="1" colspan="1">−28.2</td>
<td align="center" rowspan="1" colspan="1">−43.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">23.4</td>
<td align="center" rowspan="1" colspan="1">0.6</td>
<td align="center" rowspan="1" colspan="1">7.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">2.8</td>
<td align="center" rowspan="1" colspan="1">0.9</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">98.5</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">52.9</td>
<td align="center" rowspan="1" colspan="1">−80.7</td>
<td align="center" rowspan="1" colspan="1">−42.4</td>
<td align="center" rowspan="1" colspan="1">89.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">−87.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">28.4</td>
<td align="center" rowspan="1" colspan="1">18.1</td>
<td align="center" rowspan="1" colspan="1">19.6</td>
<td align="center" rowspan="1" colspan="1">−23.7</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">44.1</td>
<td align="center" rowspan="1" colspan="1">0.8</td>
<td align="center" rowspan="1" colspan="1">14.3</td>
<td align="center" rowspan="1" colspan="1">55.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">1.2</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">23.9</td>
<td align="center" rowspan="1" colspan="1">98.7</td>
<td align="center" rowspan="1" colspan="1">−36.0</td>
<td align="center" rowspan="1" colspan="1">−17.9</td>
<td align="center" rowspan="1" colspan="1">−53.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">148.1</td>
<td align="center" rowspan="1" colspan="1">48.6</td>
<td align="center" rowspan="1" colspan="1">18.0</td>
<td align="center" rowspan="1" colspan="1">−34.4</td>
<td align="center" rowspan="1" colspan="1">63.8</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">30.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">42.4</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">140.8</td>
<td align="center" rowspan="1" colspan="1">31.5</td>
<td align="center" rowspan="1" colspan="1">79.6</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">18.4</td>
<td align="center" rowspan="1" colspan="1">69.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">8.6</td>
<td align="center" rowspan="1" colspan="1">9.7</td>
<td align="center" rowspan="1" colspan="1">−89.8</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">8.5</td>
<td align="center" rowspan="1" colspan="1">107.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">54.0</td>
<td align="center" rowspan="1" colspan="1">4.6</td>
<td align="center" rowspan="1" colspan="1">23.4</td>
<td align="center" rowspan="1" colspan="1">5.2</td>
<td align="center" rowspan="1" colspan="1">15.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">63.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">126.8</td>
<td align="center" rowspan="1" colspan="1">−9.4</td>
<td align="center" rowspan="1" colspan="1">98.3</td>
<td align="center" rowspan="1" colspan="1">65.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">147.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">89.4</td>
<td align="center" rowspan="1" colspan="1">−43.4</td>
<td align="center" rowspan="1" colspan="1">−71.2</td>
<td align="center" rowspan="1" colspan="1">−17.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">21.7</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">3.0</td>
<td align="center" rowspan="1" colspan="1">23.9</td>
<td align="center" rowspan="1" colspan="1">23.4</td>
<td align="center" rowspan="1" colspan="1">0.3</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">61.0</td>
<td align="center" rowspan="1" colspan="1">17.1</td>
<td align="center" rowspan="1" colspan="1">66.1</td>
<td align="center" rowspan="1" colspan="1">−32.2</td>
<td align="center" rowspan="1" colspan="1">20.5</td>
<td align="center" rowspan="1" colspan="1">44.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">66.9</td>
<td align="center" rowspan="1" colspan="1">14.0</td>
<td align="center" rowspan="1" colspan="1">7.1</td>
<td align="center" rowspan="1" colspan="1">−17.6</td>
<td align="center" rowspan="1" colspan="1">−4.6</td>
<td align="center" rowspan="1" colspan="1">13.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">28.6</td>
<td align="center" rowspan="1" colspan="1">7.2</td>
<td align="center" rowspan="1" colspan="1">9.6</td>
<td align="center" rowspan="1" colspan="1">25.4</td>
<td align="center" rowspan="1" colspan="1">9.2</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">63.2</td>
<td align="center" rowspan="1" colspan="1">53.1</td>
<td align="center" rowspan="1" colspan="1">63.5</td>
<td align="center" rowspan="1" colspan="1">33.7</td>
<td align="center" rowspan="1" colspan="1">69.1</td>
<td align="center" rowspan="1" colspan="1">41.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">103.8</td>
<td align="center" rowspan="1" colspan="1">20.1</td>
<td align="center" rowspan="1" colspan="1">65.3</td>
<td align="center" rowspan="1" colspan="1">25.7</td>
<td align="center" rowspan="1" colspan="1">53.3</td>
<td align="center" rowspan="1" colspan="1">53.7</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">21.1</td>
<td align="center" rowspan="1" colspan="1">13.0</td>
<td align="center" rowspan="1" colspan="1">9.4</td>
<td align="center" rowspan="1" colspan="1">23.6</td>
<td align="center" rowspan="1" colspan="1">10.0</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab5" position="float">
<label>Table 5</label>
<caption>
<p>The titanium [Test-Master] best-fit differences of each component centroid in
<italic>μ</italic>
m.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="2" colspan="1">Specimen</th>
<th align="center" rowspan="1" colspan="1"></th>
<th align="center" colspan="6" rowspan="1">Component</th>
</tr>
<tr>
<th align="center" rowspan="1" colspan="1"></th>
<th rowspan="1" colspan="1">no. 1</th>
<th align="center" rowspan="1" colspan="1">no. 2</th>
<th align="center" rowspan="1" colspan="1">no. 3</th>
<th align="center" rowspan="1" colspan="1">no. 4</th>
<th align="center" rowspan="1" colspan="1">no. 5</th>
<th align="center" rowspan="1" colspan="1">no. 6</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">−1.9</td>
<td align="center" rowspan="1" colspan="1">−3.2</td>
<td align="center" rowspan="1" colspan="1">14.3</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−5.5</td>
<td align="center" rowspan="1" colspan="1">−0.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">20.1</td>
<td align="center" rowspan="1" colspan="1">11.9</td>
<td align="center" rowspan="1" colspan="1">14.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−0.5</td>
<td align="center" rowspan="1" colspan="1">1.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">4.5</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">1.4</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
<td align="center" rowspan="1" colspan="1">5.2</td>
<td align="center" rowspan="1" colspan="1">0.4</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">19.3</td>
<td align="center" rowspan="1" colspan="1">−6.7</td>
<td align="center" rowspan="1" colspan="1">22.1</td>
<td align="center" rowspan="1" colspan="1">−2.0</td>
<td align="center" rowspan="1" colspan="1">18.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">7.8</td>
<td align="center" rowspan="1" colspan="1">2.6</td>
<td align="center" rowspan="1" colspan="1">12.7</td>
<td align="center" rowspan="1" colspan="1">1.5</td>
<td align="center" rowspan="1" colspan="1">−29.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
<td align="center" rowspan="1" colspan="1">4.8</td>
<td align="center" rowspan="1" colspan="1">8.5</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">10.8</td>
<td align="center" rowspan="1" colspan="1">1.6</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">4.2</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
<td align="center" rowspan="1" colspan="1">−26.3</td>
<td align="center" rowspan="1" colspan="1">9.6</td>
<td align="center" rowspan="1" colspan="1">5.6</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">11.6</td>
<td align="center" rowspan="1" colspan="1">3.5</td>
<td align="center" rowspan="1" colspan="1">13.1</td>
<td align="center" rowspan="1" colspan="1">8.3</td>
<td align="center" rowspan="1" colspan="1">6.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.6</td>
<td align="center" rowspan="1" colspan="1">0.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">16.4</td>
<td align="center" rowspan="1" colspan="1">6.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">17.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">24.6</td>
<td align="center" rowspan="1" colspan="1">16.1</td>
<td align="center" rowspan="1" colspan="1">−2.1</td>
<td align="center" rowspan="1" colspan="1">−28.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">−16.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−11.4</td>
<td align="center" rowspan="1" colspan="1">−15.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">26.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">7.9</td>
<td align="center" rowspan="1" colspan="1">11.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">9.6</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">9.8</td>
<td align="center" rowspan="1" colspan="1">−3.8</td>
<td align="center" rowspan="1" colspan="1">−3.7</td>
<td align="center" rowspan="1" colspan="1">21.2</td>
<td align="center" rowspan="1" colspan="1">−7.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">20.2</td>
<td align="center" rowspan="1" colspan="1">−4.5</td>
<td align="center" rowspan="1" colspan="1">−3.9</td>
<td align="center" rowspan="1" colspan="1">3.2</td>
<td align="center" rowspan="1" colspan="1">31.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.3</td>
<td align="center" rowspan="1" colspan="1">3.6</td>
<td align="center" rowspan="1" colspan="1">0.3</td>
<td align="center" rowspan="1" colspan="1">9.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">4.3</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">6</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">−18.0</td>
<td align="center" rowspan="1" colspan="1">−21.1</td>
<td align="center" rowspan="1" colspan="1">−16.6</td>
<td align="center" rowspan="1" colspan="1">−12.5</td>
<td align="center" rowspan="1" colspan="1">−8.5</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">6</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">14.6</td>
<td align="center" rowspan="1" colspan="1">5.7</td>
<td align="center" rowspan="1" colspan="1">17.9</td>
<td align="center" rowspan="1" colspan="1">18.3</td>
<td align="center" rowspan="1" colspan="1">10.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">6</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">1.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.4</td>
<td align="center" rowspan="1" colspan="1">6.5</td>
<td align="center" rowspan="1" colspan="1">0.7</td>
<td align="center" rowspan="1" colspan="1">0.1</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">7</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">5.0</td>
<td align="center" rowspan="1" colspan="1">8.4</td>
<td align="center" rowspan="1" colspan="1">8.8</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">5.8</td>
<td align="center" rowspan="1" colspan="1">12.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">7</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">2.9</td>
<td align="center" rowspan="1" colspan="1">4.9</td>
<td align="center" rowspan="1" colspan="1">3.2</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−0.1</td>
<td align="center" rowspan="1" colspan="1">−3.7</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">7</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">4.0</td>
<td align="center" rowspan="1" colspan="1">2.0</td>
<td align="center" rowspan="1" colspan="1">0.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">1.0</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">8</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">−23.5</td>
<td align="center" rowspan="1" colspan="1">−19.4</td>
<td align="center" rowspan="1" colspan="1">−10.1</td>
<td align="center" rowspan="1" colspan="1">0.7</td>
<td align="center" rowspan="1" colspan="1">−4.8</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">8</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">17.9</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
<td align="center" rowspan="1" colspan="1">5.1</td>
<td align="center" rowspan="1" colspan="1">1.6</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">8</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.2</td>
<td align="center" rowspan="1" colspan="1">4.0</td>
<td align="center" rowspan="1" colspan="1">1.2</td>
<td align="center" rowspan="1" colspan="1">0.2</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.2</td>
<td align="center" rowspan="1" colspan="1">0.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−7.1</td>
<td align="center" rowspan="1" colspan="1">2.2</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.2</td>
<td align="center" rowspan="1" colspan="1">1.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">3.1</td>
<td align="center" rowspan="1" colspan="1">3.3</td>
<td align="center" rowspan="1" colspan="1">0.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">2.1</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">2.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">1.1</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−2.4</td>
<td align="center" rowspan="1" colspan="1">−2.1</td>
<td align="center" rowspan="1" colspan="1">−19.5</td>
<td align="center" rowspan="1" colspan="1">−8.7</td>
<td align="center" rowspan="1" colspan="1">−0.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">−3.5</td>
<td align="center" rowspan="1" colspan="1">−3.8</td>
<td align="center" rowspan="1" colspan="1">1.8</td>
<td align="center" rowspan="1" colspan="1">10.1</td>
<td align="center" rowspan="1" colspan="1">13.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.1</td>
<td align="center" rowspan="1" colspan="1">1.8</td>
<td align="center" rowspan="1" colspan="1">8.4</td>
<td align="center" rowspan="1" colspan="1">0.0</td>
<td align="center" rowspan="1" colspan="1">0.9</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">−1.7</td>
<td align="center" rowspan="1" colspan="1">−0.7</td>
<td align="center" rowspan="1" colspan="1">−1.8</td>
<td align="center" rowspan="1" colspan="1">0.6</td>
<td align="center" rowspan="1" colspan="1">0.3</td>
<td align="center" rowspan="1" colspan="1">−0.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">5.1</td>
<td align="center" rowspan="1" colspan="1">5.6</td>
<td align="center" rowspan="1" colspan="1">3.7</td>
<td align="center" rowspan="1" colspan="1">2.7</td>
<td align="center" rowspan="1" colspan="1">3.6</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">0.7</td>
<td align="center" rowspan="1" colspan="1">1.5</td>
<td align="center" rowspan="1" colspan="1">2.2</td>
<td align="center" rowspan="1" colspan="1">5.9</td>
<td align="center" rowspan="1" colspan="1">2.4</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
</tr>
<tr>
<td align="left" colspan="8" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>x </italic>
</td>
<td align="center" rowspan="1" colspan="1">11.5</td>
<td align="center" rowspan="1" colspan="1">12.4</td>
<td align="center" rowspan="1" colspan="1">14.9</td>
<td align="center" rowspan="1" colspan="1">12.6</td>
<td align="center" rowspan="1" colspan="1">9.0</td>
<td align="center" rowspan="1" colspan="1">12.3</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>y </italic>
</td>
<td align="center" rowspan="1" colspan="1">11.0</td>
<td align="center" rowspan="1" colspan="1">6.6</td>
<td align="center" rowspan="1" colspan="1">9.3</td>
<td align="center" rowspan="1" colspan="1">9.2</td>
<td align="center" rowspan="1" colspan="1">4.0</td>
<td align="center" rowspan="1" colspan="1">17.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">
<italic>z</italic>
</td>
<td align="center" rowspan="1" colspan="1">1.4</td>
<td align="center" rowspan="1" colspan="1">2.0</td>
<td align="center" rowspan="1" colspan="1">3.2</td>
<td align="center" rowspan="1" colspan="1">5.5</td>
<td align="center" rowspan="1" colspan="1">3.7</td>
<td align="center" rowspan="1" colspan="1">3.0</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap-group id="tab6" position="float">
<label>Table 6</label>
<caption>
<p>The mean and SD of the centroid location differences in
<italic>μ</italic>
m of each component between test framework and reference cast generated by the unfixed coordinate system best-fit matching method. The right most column presents their total mean and SD (
<italic>n</italic>
= 6).</p>
</caption>
<table-wrap id="tab6a" position="anchor">
<caption>
<p>(a) </p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" colspan="2" rowspan="1">Cast (
<italic>n</italic>
= 5) Component</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 1</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 2</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 3</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 4</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 5</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 6</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
Total (
<italic>n</italic>
= 6)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>X </italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">61.0</td>
<td align="center" rowspan="1" colspan="1">17.1</td>
<td align="center" rowspan="1" colspan="1">66.1</td>
<td align="center" rowspan="1" colspan="1">−32.2</td>
<td align="center" rowspan="1" colspan="1">20.5</td>
<td align="center" rowspan="1" colspan="1">44.8</td>
<td align="center" rowspan="1" colspan="1">29.5</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Y </italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">66.9</td>
<td align="center" rowspan="1" colspan="1">14.0</td>
<td align="center" rowspan="1" colspan="1">7.1</td>
<td align="center" rowspan="1" colspan="1">−17.6</td>
<td align="center" rowspan="1" colspan="1">−4.6</td>
<td align="center" rowspan="1" colspan="1">13.3</td>
<td align="center" rowspan="1" colspan="1">13.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Z</italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">28.6</td>
<td align="center" rowspan="1" colspan="1">7.2</td>
<td align="center" rowspan="1" colspan="1">9.6</td>
<td align="center" rowspan="1" colspan="1">25.4</td>
<td align="center" rowspan="1" colspan="1">9.2</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
<td align="center" rowspan="1" colspan="1">13.4</td>
</tr>
<tr>
<td align="left" colspan="9" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>X </italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">63.2</td>
<td align="center" rowspan="1" colspan="1">53.1</td>
<td align="center" rowspan="1" colspan="1">63.5</td>
<td align="center" rowspan="1" colspan="1">33.7</td>
<td align="center" rowspan="1" colspan="1">69.1</td>
<td align="center" rowspan="1" colspan="1">41.9</td>
<td align="center" rowspan="1" colspan="1">36.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Y </italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">103.8</td>
<td align="center" rowspan="1" colspan="1">20.1</td>
<td align="center" rowspan="1" colspan="1">65.3</td>
<td align="center" rowspan="1" colspan="1">25.7</td>
<td align="center" rowspan="1" colspan="1">53.3</td>
<td align="center" rowspan="1" colspan="1">53.7</td>
<td align="center" rowspan="1" colspan="1">28.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Z</italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">21.1</td>
<td align="center" rowspan="1" colspan="1">13.0</td>
<td align="center" rowspan="1" colspan="1">9.4</td>
<td align="center" rowspan="1" colspan="1">23.6</td>
<td align="center" rowspan="1" colspan="1">10.0</td>
<td align="center" rowspan="1" colspan="1">0.5</td>
<td align="center" rowspan="1" colspan="1">11.1</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab6b" position="anchor">
<caption>
<p>(b) </p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" colspan="2" rowspan="1">Cast (
<italic>n</italic>
= 10) Component</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 1</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 2</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 3</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 4</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 5</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
no. 6</th>
<th align="center" rowspan="1" colspan="1">Test-ref
<break></break>
Total (
<italic>n</italic>
= 6)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>X </italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">−1.7</td>
<td align="center" rowspan="1" colspan="1">−0.7</td>
<td align="center" rowspan="1" colspan="1">−1.8</td>
<td align="center" rowspan="1" colspan="1">0.6</td>
<td align="center" rowspan="1" colspan="1">0.3</td>
<td align="center" rowspan="1" colspan="1">−0.2</td>
<td align="center" rowspan="1" colspan="1">−0.6</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Y </italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">5.1</td>
<td align="center" rowspan="1" colspan="1">5.6</td>
<td align="center" rowspan="1" colspan="1">3.7</td>
<td align="center" rowspan="1" colspan="1">2.7</td>
<td align="center" rowspan="1" colspan="1">3.6</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
<td align="center" rowspan="1" colspan="1">4.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Z</italic>
</td>
<td align="center" rowspan="1" colspan="1">Mean</td>
<td align="center" rowspan="1" colspan="1">0.7</td>
<td align="center" rowspan="1" colspan="1">1.5</td>
<td align="center" rowspan="1" colspan="1">2.2</td>
<td align="center" rowspan="1" colspan="1">5.9</td>
<td align="center" rowspan="1" colspan="1">2.4</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
<td align="center" rowspan="1" colspan="1">2.4</td>
</tr>
<tr>
<td align="left" colspan="9" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>X </italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">11.5</td>
<td align="center" rowspan="1" colspan="1">12.4</td>
<td align="center" rowspan="1" colspan="1">14.9</td>
<td align="center" rowspan="1" colspan="1">12.6</td>
<td align="center" rowspan="1" colspan="1">9.0</td>
<td align="center" rowspan="1" colspan="1">12.3</td>
<td align="center" rowspan="1" colspan="1">1.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Y </italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">11.0</td>
<td align="center" rowspan="1" colspan="1">6.6</td>
<td align="center" rowspan="1" colspan="1">9.3</td>
<td align="center" rowspan="1" colspan="1">9.2</td>
<td align="center" rowspan="1" colspan="1">4.0</td>
<td align="center" rowspan="1" colspan="1">17.2</td>
<td align="center" rowspan="1" colspan="1">1.1</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Z</italic>
</td>
<td align="center" rowspan="1" colspan="1">SD</td>
<td align="center" rowspan="1" colspan="1">1.4</td>
<td align="center" rowspan="1" colspan="1">2.0</td>
<td align="center" rowspan="1" colspan="1">3.2</td>
<td align="center" rowspan="1" colspan="1">5.5</td>
<td align="center" rowspan="1" colspan="1">3.7</td>
<td align="center" rowspan="1" colspan="1">3.0</td>
<td align="center" rowspan="1" colspan="1">1.8</td>
</tr>
</tbody>
</table>
</table-wrap>
</table-wrap-group>
<table-wrap id="tab7" position="float">
<label>Table 7</label>
<caption>
<p>
<italic>P</italic>
values of unpaired Student's
<italic>t</italic>
-test on the [Test-ref] centroid location differences in
<italic>μ</italic>
m at each component of Cast framework and titanium framework. The rightest column presents the unpaired Student's test of in total between cast/titanium frameworks.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="1" colspan="1"></th>
<th align="center" rowspan="1" colspan="1">no. 1</th>
<th align="center" rowspan="1" colspan="1">no. 2</th>
<th align="center" rowspan="1" colspan="1">no. 3</th>
<th align="center" rowspan="1" colspan="1">no. 4</th>
<th align="center" rowspan="1" colspan="1">no. 5</th>
<th align="center" rowspan="1" colspan="1">no. 6</th>
<th align="center" rowspan="1" colspan="1">Total</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>X </italic>
</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0077 </bold>
</td>
<td align="center" rowspan="1" colspan="1">0.3167</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0056 </bold>
</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0154 </bold>
</td>
<td align="center" rowspan="1" colspan="1">0.3633</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0065 </bold>
</td>
<td align="center" rowspan="1" colspan="1">0.0698</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Y </italic>
</td>
<td align="center" rowspan="1" colspan="1">0.0749</td>
<td align="center" rowspan="1" colspan="1">0.2381</td>
<td align="center" rowspan="1" colspan="1">0.8706</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0397 </bold>
</td>
<td align="center" rowspan="1" colspan="1">0.6239</td>
<td align="center" rowspan="1" colspan="1">0.6212</td>
<td align="center" rowspan="1" colspan="1">0.4616</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">
<italic>Z</italic>
</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0008</bold>
</td>
<td align="center" rowspan="1" colspan="1">0.1767</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0406</bold>
</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0236</bold>
</td>
<td align="center" rowspan="1" colspan="1">0.702</td>
<td align="center" rowspan="1" colspan="1">0.3107</td>
<td align="center" rowspan="1" colspan="1">
<bold>0.0373</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap-group id="tab8" position="float">
<label>Table 8</label>
<caption>
<p>Comparison of the best-fit results in
<italic>μ</italic>
m for centroid vertical gaps generated by the fixed and unfixed coordinate system best-fit matching methods.</p>
</caption>
<table-wrap id="tab8a" position="anchor">
<caption>
<p>(a) </p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="1" colspan="1">Centroid
<italic>Z</italic>
gap data base</th>
<th align="center" rowspan="1" colspan="1">Fixed cast</th>
<th align="center" rowspan="1" colspan="1">Unfixed cast</th>
<th align="center" rowspan="1" colspan="1">Fixed titan.</th>
<th align="center" rowspan="1" colspan="1">Unfixed titan.</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">1</td>
<td align="center" rowspan="1" colspan="1">12.1</td>
<td align="center" rowspan="1" colspan="1">5.8</td>
<td align="center" rowspan="1" colspan="1">3.2</td>
<td align="center" rowspan="1" colspan="1">2.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">2</td>
<td align="center" rowspan="1" colspan="1">31.7</td>
<td align="center" rowspan="1" colspan="1">19.3</td>
<td align="center" rowspan="1" colspan="1">8.7</td>
<td align="center" rowspan="1" colspan="1">4.4</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">3</td>
<td align="center" rowspan="1" colspan="1">12.8</td>
<td align="center" rowspan="1" colspan="1">12.8</td>
<td align="center" rowspan="1" colspan="1">3.9</td>
<td align="center" rowspan="1" colspan="1">3.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">29.9</td>
<td align="center" rowspan="1" colspan="1">17.2</td>
<td align="center" rowspan="1" colspan="1">8.6</td>
<td align="center" rowspan="1" colspan="1">4.8</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">18.5</td>
<td align="center" rowspan="1" colspan="1">12.1</td>
<td align="center" rowspan="1" colspan="1">4.4</td>
<td align="center" rowspan="1" colspan="1">3.0</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">6</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">1.9</td>
<td align="center" rowspan="1" colspan="1">1.5</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">7</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">2.1</td>
<td align="center" rowspan="1" colspan="1">1.2</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">8</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">0.9</td>
<td align="center" rowspan="1" colspan="1">0.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">1.3</td>
<td align="center" rowspan="1" colspan="1">0.9</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1"></td>
<td align="center" rowspan="1" colspan="1">2.3</td>
<td align="center" rowspan="1" colspan="1">1.9</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab8b" position="anchor">
<caption>
<p>(b) Descriptive statistics</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="1" colspan="1"></th>
<th align="center" rowspan="1" colspan="1">Count</th>
<th align="center" rowspan="1" colspan="1">Mean</th>
<th align="center" rowspan="1" colspan="1">Std. dev.</th>
<th align="center" rowspan="1" colspan="1">Std. error</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">Fixed cast</td>
<td align="center" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">21.00</td>
<td align="center" rowspan="1" colspan="1">9.306</td>
<td align="center" rowspan="1" colspan="1">4.162</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Unfixed cast</td>
<td align="center" rowspan="1" colspan="1">5</td>
<td align="center" rowspan="1" colspan="1">13.44</td>
<td align="center" rowspan="1" colspan="1">5.221</td>
<td align="center" rowspan="1" colspan="1">2.335</td>
</tr>
<tr>
<td align="left" colspan="5" rowspan="1">
<hr></hr>
</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Fixed titan.</td>
<td align="center" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">3.73</td>
<td align="center" rowspan="1" colspan="1">2.812</td>
<td align="center" rowspan="1" colspan="1">0.889</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Unfixed titan.</td>
<td align="center" rowspan="1" colspan="1">10</td>
<td align="center" rowspan="1" colspan="1">2.44</td>
<td align="center" rowspan="1" colspan="1">1.462</td>
<td align="center" rowspan="1" colspan="1">0.462</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="tab8c" position="anchor">
<caption>
<p>(c) Paired
<italic>t</italic>
-test: hypothesized difference = 0</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" rowspan="1" colspan="1"></th>
<th align="center" rowspan="1" colspan="1">Mean diff.</th>
<th align="center" rowspan="1" colspan="1">DF</th>
<th align="center" rowspan="1" colspan="1">
<italic>t</italic>
value</th>
<th align="center" rowspan="1" colspan="1">
<italic>P</italic>
value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="1" colspan="1">Fixed cast; unfixed cast</td>
<td align="center" rowspan="1" colspan="1">7.56</td>
<td align="center" rowspan="1" colspan="1">4</td>
<td align="center" rowspan="1" colspan="1">3.225</td>
<td align="center" rowspan="1" colspan="1">0.0321</td>
</tr>
<tr>
<td align="left" rowspan="1" colspan="1">Fixed titan; unfixed titan.</td>
<td align="center" rowspan="1" colspan="1">1.29</td>
<td align="center" rowspan="1" colspan="1">9</td>
<td align="center" rowspan="1" colspan="1">2.671</td>
<td align="center" rowspan="1" colspan="1">0.0256</td>
</tr>
</tbody>
</table>
</table-wrap>
</table-wrap-group>
</floats-group>
</pmc>
</record>

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