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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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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.
| 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 and Mathematics |
| Publisher: | ACM Press |
| Date of acceptance: | 1 March 2017 |
| 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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