Untangling Cloth

How to read this

Category

Method: history-free cloth collision recovery (untangling)

Contributions

• A history-free algorithm that resolves cloth self-intersections by globally analyzing the current state, no past-timestep knowledge required
• Global intersection analysis that classifies intersection paths by endpoint and degenerate vertices, with radial basis function fitting to extrapolate correspondence across the surface
• Attractive forces between corresponding points that pull interpenetrating regions apart

Context

Complements robust per-step collision methods such as Bridson et al.'s skinned-cloth treatment by handling the deeply interpenetrated states those methods assume away, useful for garment initialization and recovery.Builds on: Robust Treatment of Collisions, Contact and Friction for a Skinned Cloth Simulation

Correctness

The approach assumes the current geometry alone carries enough structure to infer correct correspondence via RBF extrapolation; readers should note it targets recovery from existing tangles rather than preventing them, and pathological intersection topologies may stress the path classification.

Clarity

The high-level idea (analyze geometry now, pull tangles apart) is intuitive; a second pass is needed for the intersection-path classification and RBF correspondence machinery.

How to read it

Focus first on what global intersection analysis computes and why history-free matters; do a careful second pass on the path classification and RBF fitting if you intend to implement untangling.