Weighted distance maps computation on parametric three-dimensional manifolds
Bronstein AM, Bronstein MM, Kimmel R. 2007. Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics. 225(1), 771–784.
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Journal Article
| Published
| English
Scopus indexed
Author
Bronstein, Alex M.ISTA 
;
Bronstein, Michael M.;
Kimmel, Ron
;
Bronstein, Michael M.;
Kimmel, RonAbstract
We propose an efficient computational solver for eikonal equations on parametric three-dimensional manifolds. Our
approach is based on the fast marching method for solving the eikonal equation in ð(n log n) steps on n grid points by
numerically simulating wavefront propagation. The obtuse angle splitting problem is reformulated as a set of small integer
linear programs, that can be solved in ð(n). Numerical simulations demonstrate the accuracy of the proposed algorithm.
Publishing Year
Date Published
2007-01-20
Journal Title
Journal of Computational Physics
Publisher
Elsevier
Volume
225
Issue
1
Page
771-784
ISSN
IST-REx-ID
Cite this
Bronstein AM, Bronstein MM, Kimmel R. Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics. 2007;225(1):771-784. doi:10.1016/j.jcp.2007.01.009
Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2007). Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2007.01.009
Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Weighted Distance Maps Computation on Parametric Three-Dimensional Manifolds.” Journal of Computational Physics. Elsevier, 2007. https://doi.org/10.1016/j.jcp.2007.01.009.
A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Weighted distance maps computation on parametric three-dimensional manifolds,” Journal of Computational Physics, vol. 225, no. 1. Elsevier, pp. 771–784, 2007.
Bronstein AM, Bronstein MM, Kimmel R. 2007. Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics. 225(1), 771–784.
Bronstein, Alex M., et al. “Weighted Distance Maps Computation on Parametric Three-Dimensional Manifolds.” Journal of Computational Physics, vol. 225, no. 1, Elsevier, 2007, pp. 771–84, doi:10.1016/j.jcp.2007.01.009.
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