Animating developable surfaces using nonconforming elements
Elliot English,Robert Bridson +1 more
- 01 Aug 2008
- Vol. 27, Iss: 3, pp 66
TL;DR: A new second order accurate constrained mechanics time integration method is proposed that greatly reduces the numerical damping present in the usual first order methods used in graphics, for virtually no extra cost and sometimes significant speed-up.
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Abstract: We present a new discretization for the physics-based animation of developable surfaces. Constrained to not deform at all in-plane but free to bend out-of-plane, these are an excellent approximation for many materials, including most cloth, paper, and stiffer materials. Unfortunately the conforming (geometrically continuous) discretizations used in graphics break down in this limit. Our nonconforming approach solves this problem, allowing us to simulate surfaces with zero in-plane deformation as a hard constraint. However, it produces discontinuous meshes, so we further couple this with a "ghost" conforming mesh for collision processing and rendering. We also propose a new second order accurate constrained mechanics time integration method that greatly reduces the numerical damping present in the usual first order methods used in graphics, for virtually no extra cost and sometimes significant speed-up.
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Figures
Figure 3: On the left is a square of developable surface pinned at two corners: we enforce zero in-plane deformation to a relative error tolerance of 10−4, giving virtually no sag along the top edge. Extra constraints ensure realistic behavior at the boundaries. To the right is a irregularly meshed nonplanar shirt worn by a moving character. 
Figure 5: A developable surface is dropped on a sphere, with immediate wrinkling and creasing patterns. 
Figure 2: Schematic of nonconforming variables, located at midpoints of edges between triangles. While continuous at these points, the surface may be discontinuous along the rest of each edge. 
Figure 4: The ghost mesh (left) closely tracks the nonconforming mesh (right) while maintaining a penetration free state with itself and the orange obstacle.
Citations
Adaptive anisotropic remeshing for cloth simulation
Rahul Narain,Armin Samii,James F. O'Brien +2 more
- 01 Nov 2012
TL;DR: This work presents a technique for cloth simulation that dynamically refines and coarsens triangle meshes so that they automatically conform to the geometric and dynamic detail of the simulated cloth, and introduces a novel technique for strain limiting by posing it as a nonlinear optimization problem.
Data-Driven Estimation of Cloth Simulation Models
Eder Miguel,Derek Bradley,Bernhard Thomaszewski,Bernd Bickel,Wojciech Matusik,Miguel A. Otaduy,Steve Marschner +6 more
TL;DR: Unlike standard textile testing, this system measures complex 3D deformations of a sheet of cloth, not just one‐dimensional force‐displacement curves, so it works under a wider range of deformation conditions.
172
Stable spaces for real-time clothing
Edilson de Aguiar,Leonid Sigal,Adrien Treuille,Jessica K. Hodgins +3 more
- 26 Jul 2010
TL;DR: This surprisingly simple conditional model learns and preserves the key dynamic properties of a cloth motion along with folding details and shows that within a class of methods, no simpler model covers the full range of cloth dynamics captured by the method.
148
Continuum‐based Strain Limiting
TL;DR: Continuum‐based Strain Limiting (CSL) is presented – a new method for limiting deformations in physically‐based cloth simulations that allows accurate control over all strain components using individual thresholds.
128
Data-driven elastic models for cloth
TL;DR: In this article, the authors present a simulation of nonlinear, anisotropic elastic behavior of cloth with a woven pattern and fiber properties, and compare it to linear and isotropic simulation techniques.
119
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Robert Bridson,Ronald Fedkiw,John Anderson +2 more
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