Technical Papers

Elastic Models

Monday, 26 July | 2:00 PM - 3:30 PM | Room 502 B
Session Chair: Doug James, Cornell University
A Simple Geometric Model for Elastic Deformations

Many algorithms in geometry processing, ranging from editing to animation and shape interpolation, as varied as they appear, can be captured with a central idea: distance of the deformation gradient from pure rotations. This paper unifies a number of algorithms and offers improvements in performance and simplification in implementation.

Isaac Chao
California Institute of Technology

Ulrich Pinkall
Technische Universität Berlin

Patrick Sanan
California Institute of Technology

Peter Schröder
California Institute of Technology

Unified Simulation of Elastic Rods, Shells, and Solids

This higher-order integration rule measures stretching, shearing, bending, and twisting along any axis. The theory and accompanying implementation do not distinguish between forms of different dimension (solids, shells, rods). A single code accurately models a diverse range of elastoplastic behaviors, including buckling, writhing, cutting, and merging.

Sebastian Martin
ETH Zürich

Peter Kaufmann
ETH Zürich

Mario Botsch
Universität Bielefeld

Eitan Grinspun
Columbia University

Markus Gross
ETH Zürich

An Efficient Multigrid Method for Simulation of High-Resolution Elastic Solids

This multigrid solver for simulation of high-resolution elastic deformable solids accommodates models of elaborate geometry, achieves favorable convergence rates even for near-incompressible materials, and facilitates scalability on shared-memory multiprocessors. Linear and co-rotational linear elasticity are supported in the proposed framework.

Yongning Zhu
University of California, Los Angeles

Eftychios Sifakis
University of California, Los Angeles and Walt Disney Animation Studios

Joseph Teran
University of California Los Angeles and Walt Disney Animation Studios

Achi Brandt
Weizmann Institute of Science

A Simple Approach to Nonlinear Tensile Stiffness for Accurate Cloth Simulation

This cloth-simulation model allows accurate modeling of arbitrary nonlinear strain-stress curves, for accurate reproduction of the anisotropic nonlinear tensile viscoelasticity of cloth materials. The model is packaged in a simple implementation that combines the accuracy of finite elements with an explicit particle-system-like formulation to enable simple, efficient, and versatile implementations.

Pascal Volino
MIRALab, University of Geneva

Nadia Magnenat-Thalmann
MIRALab, University of Geneva

François Faure
LJK, INRIA, Université de Grenoble

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