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Stokes coordinates.

Savoye, Yann


Yann Savoye


Stephen N. Spencer


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.


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:

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
Keywords Cage based; Subspace deformers; Stokes cage coordinates
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