Data Structures for Halfplane Proximity Queries and Incremental Voronoi Diagrams
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DOI: 10.1007/s00453-017-0389-y
Abstract: We consider preprocessing a set S of n points in convex position in the plane into a data structure supporting queries of the following form: given a point q and a directed line $$\ell $$ℓ in… read more here.
Keywords: voronoi diagrams; data structure; log logn; time ... See more keywords
A refinement for rational functions of Pólya's method to construct Voronoi diagrams
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.071
Abstract: Abstract Given a complex polynomial P with zeroes z 1 , … , z d , we show that the asymptotic zero-counting measure of the iterated derivatives Q ( n ) , n = 1… read more here.
Keywords: voronoi diagrams; rational functions; refinement rational; functions lya ... See more keywords
Filaments of galaxies and Voronoi diagrams
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DOI: 10.1515/astro-2018-0040
Abstract: Abstract The intersections between a spherical shell and the faces of Voronoi polyhedrons are numerically evaluated. The nodes of these intersections are the points that share the same distances from three nuclei. The nodes are… read more here.
Keywords: voronoi diagrams; astronomy; cosmology; galaxies voronoi ... See more keywords
Voronoi diagrams and self-healing cementitious materials: a perfect match
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Cement Research"
DOI: 10.1680/jadcr.16.00091
Abstract: Voronoi diagrams are promising schemes for use in architecture and structural design. Integrated into building sciences they can result in structures with a high strength to weight ratio for any ma... read more here.
Keywords: healing cementitious; voronoi diagrams; voronoi; cementitious materials ... See more keywords
Voronoi Diagrams for Senior-Friendly Cities
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Environmental Research and Public Health"
DOI: 10.3390/ijerph19127447
Abstract: Motives: Active aging places (AAP) should be identified during the COVID-19 pandemic to ensure the sanitary safety of seniors, prevent older adults from feeling excluded, and eliminate health threats that discourage seniors from being active.… read more here.
Keywords: senior friendly; diagrams senior; voronoi diagrams; friendly cities ... See more keywords
Voronoi Diagrams Generated by the Archimedes Spiral: Fibonacci Numbers, Chirality and Aesthetic Appeal
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DOI: 10.3390/sym15030746
Abstract: Voronoi mosaics inspired by seed points placed on the Archimedes Spirals are reported. Voronoi (Shannon) entropy was calculated for these patterns. Equidistant and non-equidistant patterns are treated. Voronoi tessellations generated by the seeds located on… read more here.
Keywords: archimedes spiral; voronoi diagrams; voronoi; seed ... See more keywords