Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Spline and Bézier polygons associated with a polynomial spline curve

Identifieur interne : 00EF15 ( Main/Exploration ); précédent : 00EF14; suivant : 00EF16

Spline and Bézier polygons associated with a polynomial spline curve

Auteurs : P. Sablonniére [France]

Source :

RBID : ISTEX:B6732E69B27715B2B6A54993E71A664E896FAE6C

English descriptors

Abstract

Abstract: Parametrized polynomial spline curves are defined by an S-polygon, but locally they are Bézier curves defined by a B-polygon. Two algorithms are given which construct one polygon from the other and vice versa. The generalization to surfaces is straightforward. This may be of some interest in CAD because of the good local properties of the B-polygon

Url:
DOI: 10.1016/0010-4485(78)90061-1


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title>Spline and Bézier polygons associated with a polynomial spline curve</title>
<author>
<name sortKey="Sablonniere, P" sort="Sablonniere, P" uniqKey="Sablonniere P" first="P." last="Sablonniére">P. Sablonniére</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:B6732E69B27715B2B6A54993E71A664E896FAE6C</idno>
<date when="1978" year="1978">1978</date>
<idno type="doi">10.1016/0010-4485(78)90061-1</idno>
<idno type="url">https://api.istex.fr/ark:/67375/6H6-WCNZJ1JT-G/fulltext.pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002B17</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002B17</idno>
<idno type="wicri:Area/Istex/Curation">002A80</idno>
<idno type="wicri:Area/Istex/Checkpoint">003A33</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">003A33</idno>
<idno type="wicri:doubleKey">0010-4485:1978:Sablonniere P:spline:and:bezier</idno>
<idno type="wicri:Area/Main/Merge">00F807</idno>
<idno type="wicri:Area/Main/Curation">00EF15</idno>
<idno type="wicri:Area/Main/Exploration">00EF15</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a">Spline and Bézier polygons associated with a polynomial spline curve</title>
<author>
<name sortKey="Sablonniere, P" sort="Sablonniere, P" uniqKey="Sablonniere P" first="P." last="Sablonniére">P. Sablonniére</name>
<affiliation wicri:level="3">
<country xml:lang="fr">France</country>
<wicri:regionArea>I U T Informatique, Sac Postal No 5, 59650 Villeneuve d'Ascq</wicri:regionArea>
<placeName>
<region type="region" nuts="2">Hauts-de-France</region>
<region type="old region" nuts="2">Nord-Pas-de-Calais</region>
<settlement type="city">Villeneuve d'Ascq</settlement>
</placeName>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="j">Computer-Aided Design</title>
<title level="j" type="abbrev">JCAD</title>
<idno type="ISSN">0010-4485</idno>
<imprint>
<publisher>ELSEVIER</publisher>
<date type="published" when="1978">1978</date>
<biblScope unit="volume">10</biblScope>
<biblScope unit="issue">4</biblScope>
<biblScope unit="page" from="257">257</biblScope>
<biblScope unit="page" to="261">261</biblScope>
</imprint>
<idno type="ISSN">0010-4485</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">0010-4485</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="Teeft" xml:lang="en">
<term>Algorithm</term>
<term>Geometric design</term>
<term>Intermediate polygons</term>
<term>July</term>
<term>Linear combinations</term>
<term>Local parameter</term>
<term>Matrix</term>
<term>Parametrized</term>
<term>Parametrized curve</term>
<term>Polygon</term>
<term>Riesenfeld</term>
<term>Spline</term>
<term>Spline curve</term>
<term>Tetrahedral</term>
<term>Tetrahedral algorithm</term>
<term>Uniform sequence</term>
</keywords>
</textClass>
<langUsage>
<language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Abstract: Parametrized polynomial spline curves are defined by an S-polygon, but locally they are Bézier curves defined by a B-polygon. Two algorithms are given which construct one polygon from the other and vice versa. The generalization to surfaces is straightforward. This may be of some interest in CAD because of the good local properties of the B-polygon</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Hauts-de-France</li>
<li>Nord-Pas-de-Calais</li>
</region>
<settlement>
<li>Villeneuve d'Ascq</li>
</settlement>
</list>
<tree>
<country name="France">
<region name="Hauts-de-France">
<name sortKey="Sablonniere, P" sort="Sablonniere, P" uniqKey="Sablonniere P" first="P." last="Sablonniére">P. Sablonniére</name>
</region>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 00EF15 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 00EF15 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:B6732E69B27715B2B6A54993E71A664E896FAE6C
   |texte=   Spline and Bézier polygons associated with a polynomial spline curve
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022