{"quality_controlled":"1","publication_identifier":{"issn":["0021-9991"]},"year":"2007","volume":225,"page":"771-784","type":"journal_article","scopus_import":"1","intvolume":"       225","extern":"1","date_created":"2024-10-15T11:20:54Z","abstract":[{"text":"We propose an efficient computational solver for eikonal equations on parametric three-dimensional manifolds. Our\r\napproach is based on the fast marching method for solving the eikonal equation in ð(n log n) steps on n grid points by\r\nnumerically simulating wavefront propagation. The obtuse angle splitting problem is reformulated as a set of small integer\r\nlinear programs, that can be solved in ð(n). Numerical simulations demonstrate the accuracy of the proposed algorithm.","lang":"eng"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","issue":"1","title":"Weighted distance maps computation on parametric three-dimensional manifolds","article_processing_charge":"No","_id":"18367","date_updated":"2024-10-18T12:18:56Z","article_type":"original","doi":"10.1016/j.jcp.2007.01.009","month":"01","oa_version":"None","publication_status":"published","citation":{"ieee":"A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Weighted distance maps computation on parametric three-dimensional manifolds,” <i>Journal of Computational Physics</i>, vol. 225, no. 1. Elsevier, pp. 771–784, 2007.","ista":"Bronstein AM, Bronstein MM, Kimmel R. 2007. Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics. 225(1), 771–784.","mla":"Bronstein, Alex M., et al. “Weighted Distance Maps Computation on Parametric Three-Dimensional Manifolds.” <i>Journal of Computational Physics</i>, vol. 225, no. 1, Elsevier, 2007, pp. 771–84, doi:<a href=\"https://doi.org/10.1016/j.jcp.2007.01.009\">10.1016/j.jcp.2007.01.009</a>.","apa":"Bronstein, A. M., Bronstein, M. M., &#38; Kimmel, R. (2007). Weighted distance maps computation on parametric three-dimensional manifolds. <i>Journal of Computational Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcp.2007.01.009\">https://doi.org/10.1016/j.jcp.2007.01.009</a>","ama":"Bronstein AM, Bronstein MM, Kimmel R. Weighted distance maps computation on parametric three-dimensional manifolds. <i>Journal of Computational Physics</i>. 2007;225(1):771-784. doi:<a href=\"https://doi.org/10.1016/j.jcp.2007.01.009\">10.1016/j.jcp.2007.01.009</a>","chicago":"Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Weighted Distance Maps Computation on Parametric Three-Dimensional Manifolds.” <i>Journal of Computational Physics</i>. Elsevier, 2007. <a href=\"https://doi.org/10.1016/j.jcp.2007.01.009\">https://doi.org/10.1016/j.jcp.2007.01.009</a>.","short":"A.M. Bronstein, M.M. Bronstein, R. Kimmel, Journal of Computational Physics 225 (2007) 771–784."},"status":"public","date_published":"2007-01-20T00:00:00Z","publisher":"Elsevier","publication":"Journal of Computational Physics","day":"20","language":[{"iso":"eng"}],"author":[{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","full_name":"Bronstein, Alexander","orcid":"0000-0001-9699-8730","last_name":"Bronstein","first_name":"Alexander"},{"full_name":"Bronstein, Michael M.","last_name":"Bronstein","first_name":"Michael M."},{"last_name":"Kimmel","first_name":"Ron","full_name":"Kimmel, Ron"}]}