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Fast and Exact Continuous Collision Detection with Bernstein Sign Classification.


ABSTRACT: We present fast algorithms to perform accurate CCD queries between triangulated models. Our formulation uses properties of the Bernstein basis and Bézier curves and reduces the problem to evaluating signs of polynomials. We present a geometrically exact CCD algorithm based on the exact geometric computation paradigm to perform reliable Boolean collision queries. Our algorithm is more than an order of magnitude faster than prior exact algorithms. We evaluate its performance for cloth and FEM simulations on CPUs and GPUs, and highlight the benefits.

SUBMITTER: Tang M 

PROVIDER: S-EPMC4283478 | biostudies-literature | 2014 Nov

REPOSITORIES: biostudies-literature

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Fast and Exact Continuous Collision Detection with Bernstein Sign Classification.

Tang Min M   Tong Ruofeng R   Wang Zhendong Z   Manocha Dinesh D  

ACM transactions on graphics 20141101 6


We present fast algorithms to perform accurate CCD queries between triangulated models. Our formulation uses properties of the Bernstein basis and Bézier curves and reduces the problem to evaluating signs of polynomials. We present a geometrically exact CCD algorithm based on the exact geometric computation paradigm to perform reliable Boolean collision queries. Our algorithm is more than an order of magnitude faster than prior exact algorithms. We evaluate its performance for cloth and FEM simu  ...[more]

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