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Stokes coordinates

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conference contribution
posted on 2024-10-10, 10:12 authored by Yann Savoye

Cage-based  structures  are  reduced  subspace  deformers  enablingnon-isometric stretching deformations induced by clothing or mus-cle bulging.  In this paper, we reformulate the cage-based riggingas an incompressible Stokes problem in the vorticity space.   Thekey to our approach is a compact stencil allowing the expression offluid-inspired high-order coordinates.  Thus, our cage-based coor-dinates are obtained by vorticity transport as the numerical solutionof the linearized Stokes equations.  Then, we turn the incompress-ible creeping Newtonian flow into Stokes equations, and we devisea second-order compact approximation with center differencing forsolving the vorticity-stream function. To the best of our knowledge,our work is the first to devise a vorticity-stream function formula-tion as a computational model for cage-based weighting functions.Finally, we demonstrate the effectiveness of our new techniques fora collection of cage-based shapes and applications.

History

Author affiliation

College of Science & Engineering Comp' & Math' Sciences

Source

SCCG '17: Spring Conference on Computer Graphics 2017 Mikulov Czech Republic May 15 - 17, 2017

Version

  • AM (Accepted Manuscript)

Published in

Proceedings of the 33rd Spring Conference on Computer Graphics

Pagination

1 - 8

Publisher

ACM

isbn

978-1-4503-5107-2

Copyright date

2017

Available date

2024-10-10

Temporal coverage: start date

2017-05-15

Temporal coverage: end date

2017-05-17

Language

en

Deposited by

Dr Yann Savoye

Deposit date

2024-10-09

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