Time-Discrete Geodesics in the Space of Shells

Building on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different from previous work, we incorporate bending contributions into our deformation...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Computer graphics forum Ročník 31; číslo 5; s. 1755 - 1764
Hlavní autori: Heeren, B., Rumpf, M., Wardetzky, M., Wirth, B.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford, UK Blackwell Publishing Ltd 01.08.2012
Predmet:
Bending
Computation
Computational mathematics
Computer graphics
Deformation
Distortion
Evolution
Geodetics
I.3.5 [Computer Graphics]: Computational geometry and object modeling-Physically based modeling
Mathematical models
Shells
Studies
Thin walled shells
ISSN:0167-7055, 1467-8659
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:Building on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different from previous work, we incorporate bending contributions into our deformation energy on top of membrane distortion terms in order to obtain a physically sound notion of distance between shells, which does not require additional smoothing. Our bending energy formulation depends on the so‐called relative Weingarten map, for which we provide a discrete analogue based on principles of discrete differential geometry. Our computational results emphasize the strong impact of physical parameters on the evolution of a shell shape along a geodesic path.
Bibliografia:ark:/67375/WNG-GJVBQ1NZ-2
istex:F2ACD3D6B03CB8CE584D8E72C02FA8ABE0A4B1BC
ArticleID:CGF3180
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2012.03180.x