Stokes coordinates.

Savoye, Yann

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.

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

• Conference Name: 33rd Spring conference on computer graphics (SCCG'17)
• Conference Location: Mikulov, Czech Republic
• Start Date: May 15, 2017
• End Date: May 17, 2017
• Acceptance Date: Apr 26, 2017
• Online Publication Date: May 15, 2017
• Publication Date: May 17, 2017
• Deposit Date: Apr 5, 2018
• Publicly Available Date: Apr 5, 2018
• Publisher: Association for Computing Machinery (ACM)
• Article Number: 5
• DOI: https://doi.org/10.1145/3154353.3154354
• Keywords: Cage based; Subspace deformers; Stokes cage coordinates
• Public URL: http://hdl.handle.net/10059/2862