A System of Hamilton-Jacobi Equations Characterizing Geodesic Centroidal Tessellations
نویسندگان
چکیده
Abstract We introduce a class of systems Hamilton-Jacobi equations characterizing geodesic centroidal tessellations, i.e., tessellations domains with respect to distances where generators and centroids coincide. Typical examples are given by Voronoi power diagrams. An appropriate version the Fast Marching method on unstructured grids allows computing solution system and, therefore, associated tessellations. propose various numerical illustrate features technique.
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ژورنال
عنوان ژورنال: Communications on Applied Mathematics and Computation
سال: 2023
ISSN: ['2096-6385', '2661-8893']
DOI: https://doi.org/10.1007/s42967-023-00276-8