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A multilevel framework for linear projection constraints

Published: 19 November 2013 Publication History

Abstract

Modified preconditioned Conjugate Gradient (MpCG) [Baraff and Witkin 1998] is a well known single level solver to implicitly handle linear projection constraints. In this work we propose a novel multilevel framework to implicitly handle linear projection constraints. Our method has multiple advantages: (a) faster (and guaranteed) convergence compared to MpCG (b) ease of integration into existing multilevel codes and (c) minimal overhead cost to incorporate constraints. Linear projection constraints are used in many aspects of the simulation such as internal articulation constraints, external Dirichlet boundary conditions [Arikatla and De 2013], initial projection during collision handling and interactive user manipulation.

References

[1]
Arikatla, V. S., and De, S. 2013. A modified multilevel scheme for internal and external constraints in virtual environments. Studies in health technology and informatics 184, 31--35.
[2]
Baraff, D., and Witkin, A. 1998. Large steps in cloth simulation. In Proceedings of the 25th annual conference on Computer graphics and interactive techniques, ACM, 43--54.

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cover image ACM Conferences
SA '13: SIGGRAPH Asia 2013 Posters
November 2013
41 pages
ISBN:9781450326346
DOI:10.1145/2542302
  • Conference Chairs:
  • Baoquan Chen,
  • Andrei Sharf
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Published: 19 November 2013

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SA '13
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SA '13: SIGGRAPH Asia 2013
November 19 - 22, 2013
Hong Kong, Hong Kong

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