Fast Grid-Based Nonlinear Elasticity for 2D Deformations
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We present a deformation technique that constructs 2D warps by using spline curves to specify the starting and target shapes of selected key contours. We generate a two-dimensional deformation map from these contours by simulating a non-linear elastic membrane deforming in accordance with user-specified constraints. Although we support and demonstrate elastic models inspired by physical membranes, we highlight a custom material model for this specific application, which combines the benefits of harmonic interpolation and area-preserving deformations. Our warps are represented via a standard Cartesian lattice and leverage the regularity of this description to enable efficient computation. Specifically, our method resolves the targeting constraints imposed along arbitrarily shaped contours with sub-grid cell precision, without requiring an explicit remeshing of the warp lattice around the constraint curve. We describe how to obtain a well-conditioned discretization of our membrane model even under elaborate constraints and strict area preservation demands, and present a multigrid solver for the efficient numerical solution of the deformation problem.
Description
@inproceedings{:10.2312/sca.20141124https::/diglib.eg.org/handle/10.2312/sca.20141124.067-076,
booktitle = {Eurographics/ ACM SIGGRAPH Symposium on Computer Animation},
editor = {Vladlen Koltun and Eftychios Sifakis},
title = {{Fast Grid-Based Nonlinear Elasticity for 2D Deformations}},
author = {Setaluri, Rajsekhar and Wang, Yu and Mitchell, Nathan and Kavan, Ladislav and Sifakis, Eftychios},
year = {2014},
publisher = {The Eurographics Association},
ISSN = {1727-5288},
ISBN = {978-3-905674-61-3},
DOI = {/10.2312/sca.20141124https://diglib.eg.org/handle/10.2312/sca.20141124.067-076}
}