An upper bound on the average size of silhouettes
Identifieur interne : 000615 ( PascalFrancis/Curation ); précédent : 000614; suivant : 000616An upper bound on the average size of silhouettes
Auteurs : Marc Glisse [France]Source :
Descripteurs français
- Pascal (Inist)
English descriptors
Abstract
It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides for the first time theoretical evidence supporting this for a large class of objects, namely for polyhedra that approximate surfaces in some reasonable way; the surfaces may not be convex or differentiable and they may have boundaries. We prove that such polyhedra have silhouettes of expected size O(√n) where the average is taken over all points of view and n is the complexity of the polyhedron.
pA |
|
---|
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: Pour aller vers cette notice dans l'étape Curation :000418
Links to Exploration step
Pascal:06-0524896Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">An upper bound on the average size of silhouettes</title>
<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>LORIA</s1>
<s2>Nancy</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">06-0524896</idno>
<date when="2006">2006</date>
<idno type="stanalyst">PASCAL 06-0524896 INIST</idno>
<idno type="RBID">Pascal:06-0524896</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000418</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000615</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">An upper bound on the average size of silhouettes</title>
<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>LORIA</s1>
<s2>Nancy</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Computational geometry</term>
<term>Computer graphics</term>
<term>Convex surface</term>
<term>Polyhedron</term>
<term>Upper bound</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Géométrie algorithmique</term>
<term>Infographie</term>
<term>Surface convexe</term>
<term>Borne supérieure</term>
<term>Polyèdre</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides for the first time theoretical evidence supporting this for a large class of objects, namely for polyhedra that approximate surfaces in some reasonable way; the surfaces may not be convex or differentiable and they may have boundaries. We prove that such polyhedra have silhouettes of expected size O(√n) where the average is taken over all points of view and n is the complexity of the polyhedron.</div>
</front>
</TEI>
<inist><standard h6="B"><pA><fA08 i1="01" i2="1" l="ENG"><s1>An upper bound on the average size of silhouettes</s1>
</fA08>
<fA09 i1="01" i2="1" l="ENG"><s1>Computational geometry (SCG'06) : June 5-7, 2006, Sedona AZ</s1>
</fA09>
<fA11 i1="01" i2="1"><s1>GLISSE (Marc)</s1>
</fA11>
<fA14 i1="01"><s1>LORIA</s1>
<s2>Nancy</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</fA14>
<fA18 i1="01" i2="1"><s1>Association for Computing Machinery</s1>
<s3>USA</s3>
<s9>org-cong.</s9>
</fA18>
<fA20><s1>105-111</s1>
</fA20>
<fA21><s1>2006</s1>
</fA21>
<fA23 i1="01"><s0>ENG</s0>
</fA23>
<fA25 i1="01"><s1>ACM Press</s1>
<s2>New York NY</s2>
</fA25>
<fA26 i1="01"><s0>1-59593-340-9</s0>
</fA26>
<fA30 i1="01" i2="1" l="ENG"><s1>SCG : symposium on computational geometry</s1>
<s2>22</s2>
<s3>USA</s3>
<s4>2006</s4>
</fA30>
<fA43 i1="01"><s1>INIST</s1>
<s2>Y 38977</s2>
<s5>354000153509950130</s5>
</fA43>
<fA44><s0>0000</s0>
<s1>© 2006 INIST-CNRS. All rights reserved.</s1>
</fA44>
<fA45><s0>9 ref.</s0>
</fA45>
<fA47 i1="01" i2="1"><s0>06-0524896</s0>
</fA47>
<fA60><s1>C</s1>
</fA60>
<fA61><s0>A</s0>
</fA61>
<fA66 i1="01"><s0>USA</s0>
</fA66>
<fC01 i1="01" l="ENG"><s0>It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides for the first time theoretical evidence supporting this for a large class of objects, namely for polyhedra that approximate surfaces in some reasonable way; the surfaces may not be convex or differentiable and they may have boundaries. We prove that such polyhedra have silhouettes of expected size O(√n) where the average is taken over all points of view and n is the complexity of the polyhedron.</s0>
</fC01>
<fC02 i1="01" i2="X"><s0>001D02C03</s0>
</fC02>
<fC02 i1="02" i2="X"><s0>001D02D05</s0>
</fC02>
<fC03 i1="01" i2="X" l="FRE"><s0>Géométrie algorithmique</s0>
<s5>01</s5>
</fC03>
<fC03 i1="01" i2="X" l="ENG"><s0>Computational geometry</s0>
<s5>01</s5>
</fC03>
<fC03 i1="01" i2="X" l="SPA"><s0>Geometría computacional</s0>
<s5>01</s5>
</fC03>
<fC03 i1="02" i2="X" l="FRE"><s0>Infographie</s0>
<s5>06</s5>
</fC03>
<fC03 i1="02" i2="X" l="ENG"><s0>Computer graphics</s0>
<s5>06</s5>
</fC03>
<fC03 i1="02" i2="X" l="SPA"><s0>Gráfico computadora</s0>
<s5>06</s5>
</fC03>
<fC03 i1="03" i2="X" l="FRE"><s0>Surface convexe</s0>
<s5>18</s5>
</fC03>
<fC03 i1="03" i2="X" l="ENG"><s0>Convex surface</s0>
<s5>18</s5>
</fC03>
<fC03 i1="03" i2="X" l="SPA"><s0>Superficie convexa</s0>
<s5>18</s5>
</fC03>
<fC03 i1="04" i2="X" l="FRE"><s0>Borne supérieure</s0>
<s5>23</s5>
</fC03>
<fC03 i1="04" i2="X" l="ENG"><s0>Upper bound</s0>
<s5>23</s5>
</fC03>
<fC03 i1="04" i2="X" l="SPA"><s0>Cota superior</s0>
<s5>23</s5>
</fC03>
<fC03 i1="05" i2="X" l="FRE"><s0>Polyèdre</s0>
<s5>24</s5>
</fC03>
<fC03 i1="05" i2="X" l="ENG"><s0>Polyhedron</s0>
<s5>24</s5>
</fC03>
<fC03 i1="05" i2="X" l="SPA"><s0>Poliedro</s0>
<s5>24</s5>
</fC03>
<fN21><s1>346</s1>
</fN21>
<fN44 i1="01"><s1>OTO</s1>
</fN44>
<fN82><s1>OTO</s1>
</fN82>
</pA>
</standard>
</inist>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/PascalFrancis/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000615 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/PascalFrancis/Curation/biblio.hfd -nk 000615 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Lorraine |area= InforLorV4 |flux= PascalFrancis |étape= Curation |type= RBID |clé= Pascal:06-0524896 |texte= An upper bound on the average size of silhouettes }}
![]() | This area was generated with Dilib version V0.6.33. | ![]() |