An Asymptotic Numerical Method for Inverse Elastic Shape Design
Xiang Chen, Changxi Zheng, Weiwei Xu, Kun Zhou
ACM Transactions on Graphics (Proc. SIGGRAPH 2014)
Abstract
Inverse shape design for elastic objects greatly eases the design efforts by letting users focus on the desired target shape without worrying about elastic deformation. Solving this problem using classic iterative methods (e.g., Newton-Raphson methods), however, often suffers from slow convergence toward a desired solution. In this paper, we propose an asymptotic numerical method that exploits the particular mathematical structure of the nonlinear material model, and thus runs orders of magnitude faster than traditional Newton-type methods. We apply this method for solving the rest shape in elastic fabrication, where the rest shape of an elastic object is computed so that after fabrication it deforms into a desired shape in the physical world. We illustrate the performance and robustness of our method, through a series of elastic fabrication experiments.
BibTeX
@article {chen2014anm,
title = {An Asymptotic Numerical Method for Inverse Elastic Shape Design},
author = {Xiang Chen and Changxi Zheng and Weiwei Xu and Kun Zhou}
journal = {ACM Transactions on Graphics, (Proc. of SIGGRAPH 2014)},
volume = {33},
number = {4},
pages = {to appear},
year = {2014}
}