Parallel algorithms for approximation of distance maps on parametric surfaces

Ofir Weber; Yohai S. Devir; Alexander M. Bronstein; Michael M. Bronstein; Ron Kimmel

doi:10.1145/1409625.1409626

Parallel algorithms for approximation of distance maps on parametric surfaces

Ofir Weber, Yohai S. Devir, Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

104 Scopus citations

Abstract

We present an efficient O(n) numerical algorithm for first-order approximation of geodesic distances on geometry images, where n is the number of points on the surface. The structure of our algorithm allows efficient implementation on parallel architectures. Two implementations on a SIMD processor and on a GPU are discussed. Numerical results demonstrate up to four orders of magnitude improvement in execution time compared to the state-of-the-art algorithms.

Original language	English
Article number	104
Journal	ACM Transactions on Graphics
Volume	27
Issue number	4
DOIs	https://doi.org/10.1145/1409625.1409626
State	Published - 1 Oct 2008
Externally published	Yes

Keywords

Eikonal equation
Fast marching
GPU
Geodesic distances
Geometry image
Multiple charts
Parallel algorithms
SIMD

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10.1145/1409625.1409626

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abstract = "We present an efficient O(n) numerical algorithm for first-order approximation of geodesic distances on geometry images, where n is the number of points on the surface. The structure of our algorithm allows efficient implementation on parallel architectures. Two implementations on a SIMD processor and on a GPU are discussed. Numerical results demonstrate up to four orders of magnitude improvement in execution time compared to the state-of-the-art algorithms.",

keywords = "Eikonal equation, Fast marching, GPU, Geodesic distances, Geometry image, Multiple charts, Parallel algorithms, SIMD",

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KW - Multiple charts

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Parallel algorithms for approximation of distance maps on parametric surfaces

Abstract

Keywords

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