Animating developable surfaces using nonconforming elements

Elliot English, Robert Bridson
2008 ACM SIGGRAPH 2008 papers on - SIGGRAPH '08  
Figure 1 : Frames from an animation of developable cloth, with complex collisions. 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
more » ... oach 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.
doi:10.1145/1399504.1360665 fatcat:6xrtxlu64ngt3mwmd6bxd3vqmq