Steklov-Poincare Skinning

How to read this

Category

Method: a physics-based, surface-only character skinning algorithm

Contributions

• A surface elastic model using the Steklov-Poincare operator to map boundary displacements to boundary forces while still capturing volumetric flesh behavior
• An ex-rotated elasticity formulation giving affine force models with pose-dependent coefficients, avoiding corotational nonlinearity
• Full collision handling with preconditioning that enables interactive simulation under self-collisions and external impacts

Context

Sits in the physics-based skinning lineage and contrasts with geometric weight-based approaches such as 'Bounded Biharmonic Weights for Real-Time Deformation', trading interpolation weights for an elasticity-driven surface formulation.Builds on: Bounded Biharmonic Weights for Real-Time Deformation

Correctness

The central assumption is that volumetric flesh response can be represented through boundary (surface) degrees of freedom via the Steklov-Poincare operator; demonstrated on high-resolution flesh models with collisions, but readers should note the ex-rotated affine model is an approximation of true corotational elasticity and applicability outside the shown soft-tissue cases is not established here.

Clarity

Technical; a first pass gives the surface-DOF intuition, but the operator and ex-rotated elasticity need a careful second pass.

How to read it

First pass for the high-level idea of reducing to surface DOFs; budget a focused second pass on the Steklov-Poincare mapping and ex-rotated elasticity, plus a third on the preconditioning if you intend to implement the collision solver.