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Stokes coordinates.

Savoye, Yann

Authors

Yann Savoye



Contributors

Stephen N. Spencer
Editor

Abstract

Cage-based structures are reduced subspace deformers enabling non-isometric stretching deformations induced by clothing or muscle bulging. In this paper, we reformulate the cage-based rigging as an incompressible Stokes problem in the vorticity space. The key to our approach is a compact stencil allowing the expression of fluid-inspired high-order coordinates. Thus, our cage-based coordinates are obtained by vorticity transport as the numerical solution of the linearized Stokes equations. Then, we turn the incompressible creeping Newtonian flow into Stokes equations, and we devise a second-order compact approximation with center differencing for solving the vorticity-stream function. To the best of our knowledge, our work is the first to devise a vorticity-stream function formulation as a computational model for cage-based weighting functions. Finally, we demonstrate the effectiveness of our new techniques for a collection of cage-based shapes and applications.

Start Date May 15, 2017
Publication Date May 17, 2017
Publisher Association for Computing Machinery
Article Number 5
Institution Citation SAVOYE, Y. 2017. Stokes coordinates. In Spencer, S.N. (ed.) Proceedings of the 33rd Spring conference on computer graphics (SCCG'17), 15-17 May 2017, Mikulov, Czech Republic. New York: ACM [online], article number 5. Available from: https://doi.org/10.1145/3154353.3154354
DOI https://doi.org/10.1145/3154353.3154354
Keywords Cage based; Subspace deformers; Stokes cage coordinates

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