Exploring the Geometry of the Space of Shells

We prove both in the smooth and discrete setting that the Hessian of an elastic deformation energy results in a proper Riemannian metric on the space of shells (modulo rigid body motions). Based on this foundation we develop a time‐ and space‐discrete geodesic calculus. In particular we show how to...

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Bibliographic Details
Published in:	Computer graphics forum Vol. 33; no. 5; pp. 247 - 256
Main Authors:	Heeren, B., Rumpf, M., Schröder, P., Wardetzky, M., Wirth, B.
Format:	Journal Article
Language:	English
Published:	Oxford Blackwell Publishing Ltd 01.08.2014
Subjects:	Analysis Animation Calculus Categories and Subject Descriptors (according to ACM CCS) Computer animation Computer graphics Deformation Elastic deformation Extrapolation Foundations I.3.5 [Computer Graphics]: Computational geometry and object modeling-Physically based modeling Mathematical analysis Rigid-body dynamics Shells Studies Transport
ISSN:	0167-7055, 1467-8659
Online Access:	Get full text
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