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A Unified Approach for Subspace Simulation of Deformable Bodies in Multiple Domains
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.
Built upon by
Nothing yet.
Related work
- FEM Simulation of 3D Deformable Solids: A Practitioner's Guide to Theory, Discretization and Model Reduction 2012 / Course
- Rig-Space Physics 2012 / SIGGRAPH
- Robust Treatment of Degenerate Elements in Interactive Corotational FEM Simulations 2014 / CGF
- Subspace Clothing Simulation Using Adaptive Bases 2014 / SIGGRAPH
Keywords
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