Publication
Efficient Geometrically Exact Continuous Collision Detection
AbstractContinuous collision detection (CCD) between deforming triangle mesh elements in 3D is a critical tool for many applications. The standard method involving a cubic polynomial solver is vulnerable to rounding error, requiring the use of ad hoc tolerances, and nevertheless is particularly fragile in (near-)planar cases. Even with per-simulation tuning, it may still cause problems by missing collisions or erroneously flagging non-collisions. We present a geometrically exact alternative guaranteed to produce the correct Boolean result (significant collision or not) as if calculated with exact arithmetic, even in degenerate scenarios. Our critical insight is that only the parity of the number of collisions is needed for robust simula- tion, and this parity can be calculated with simpler non-constructive predicates. In essence we analyze the roots of the nonlinear system of equations defining CCD through careful consideration of the boundary of the parameter domain. The use of new conservative culling and interval filters allows typical simulations to run as fast as with the non-robust version, but without need for tuning or worries about failure cases even in geometrically degenerate scenarios. We demonstrate the effectiveness of geometrically exact detection with a novel adaptive cloth simulation, the first to guar- antee to remain intersection-free despite frequent curvature-driven remeshing.
Download publicationRelated Resources
See what’s new.
2024
A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systemsThis method balances accuracy and computational speed through adaptive…
2023
Exploring Future Worlds and the Potential of our Digital SelvesRecent workshop explores the digital realm and our place within it…
2022
MaskTune: Mitigating Spurious Correlations by Forcing to ExploreThis work proposes a masking strategy that prevents over-reliance on…
2015
Dynamic Opacity Optimization for Scatter PlotsScatterplots are an effective and commonly used technique to show the…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us