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A Unified Approach for Subspace Simulation of Deformable Bodies in Multiple Domains

Xiaofeng Wu, Rajaditya Mukherjee, Huamin Wang

TOG41 citesCFX

Multi-domain subspace simulation efficiently animates the deformation of a large deformable body by constraining each domain's deformation to a separate subspace, with the key challenge being how to c

Abstract

Multi-domain subspace simulation efficiently animates the deformation of a large deformable body by constraining each domain's deformation to a separate subspace, with the key challenge being how to couple multiple domains without gaps or locking artifacts. This work introduces a domain decomposition framework that connects disjoint domains through coupling elements and solves the subspace deformations and rigid motions of all domains in a single linear system. Because the coupling elements are part of the deformable body and share its elastic properties, the system avoids manual stiffness parameter tuning.

How to read this

Category
Method: unified multi-domain subspace simulation of deformable bodies
Contributions
  • A domain decomposition framework that connects disjoint subspace domains through coupling elements
  • A single linear system solving the subspace deformations and rigid motions of all domains together to avoid gaps or locking
  • Coupling elements that share the body's elastic properties, removing manual stiffness parameter tuning
Context
Builds on multi-domain reduced simulation such as 'Physics-based Character Skinning using Multi-Domain Subspace Deformations', focusing on a coupling scheme that joins per-domain subspaces cleanly.Builds on: Physics-based Character Skinning using Multi-Domain Subspace Deformations
Correctness
Central premise is that domains constrained to separate subspaces can be coupled through shared-property elements solved jointly, which addresses gap and locking artifacts without stiffness tuning; readers should keep in mind that overall fidelity still depends on each domain's subspace quality, an inherent reduced-order limitation.
Clarity
Moderately technical; a first pass conveys the coupling idea, a second pass clarifies the combined linear system.
How to read it
First pass for the decomposition-and-coupling concept and why it avoids tuning; do a second pass on the unified linear system and coupling elements if you need to integrate multiple subspace domains.

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