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Stokes Coordinates

Savoye, Y (2017) Stokes Coordinates. In: Proceedings of the 33rd Spring Conference on Computer Graphics - SCCG '17 . (the 33rd Spring Conference, 15 May 2017 - 17 May 2017, Mikulov, Czech Republic).

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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.

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QA Mathematics > QA76 Computer software
Divisions: Computer Science & Mathematics
Publisher: ACM Press
Date Deposited: 23 Oct 2019 11:04
Last Modified: 13 Apr 2022 15:17
DOI or ID number: 10.1145/3154353.3154354
URI: https://researchonline.ljmu.ac.uk/id/eprint/11625
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