Abstract
Efficient computation of curvature-based energies is important for practical implementations of geometric modeling and physical simulation applications. Building on a simple geometric observation, we propose a hinge-based bending model that is simple to implement, efficient to compute, and offers a great number of effectivematerial parameters. Our formulation builds on two mathematical observations: (a) the bending energy of a thin flexible plate (resp. shell) can be expressed as a quadratic (resp. cubic) polynomial of surface positions provided that the surface does not stretch; (b) a general class of anisotropic materials-those that are orthotropic-is captured by appropriate choice of a single stiffness per hinge. We provide two approaches for deriving our isometric bending model (IBM): a purely geometric view and a derivation based on finite elements. By offering a highly efficient treatment of force Jacobians, our model impacts the speed of a general range of surface animation applications, from isotropic cloth and thin plates, over orthotropic fracturing of thin shells, to Willmore-type surface fairing.
Original language | English (US) |
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Title of host publication | ACM SIGGRAPH ASIA 2008 Courses, SIGGRAPH Asia'08 |
DOIs | |
State | Published - 2008 |
Event | ACM SIGGRAPH ASIA 2008 Courses, SIGGRAPH Asia'08 - Singapore, Singapore Duration: Dec 10 2008 → Dec 13 2008 |
Other
Other | ACM SIGGRAPH ASIA 2008 Courses, SIGGRAPH Asia'08 |
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Country/Territory | Singapore |
City | Singapore |
Period | 12/10/08 → 12/13/08 |
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
- Human-Computer Interaction
- Media Technology