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   Articles with "voronoi" as a keyword



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Cellular topology optimization on differentiable Voronoi diagrams

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recommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.7121

Abstract: Cellular structures manifest their outstanding mechanical properties in many biological systems. One key challenge for designing and optimizing these geometrically complicated structures lies in devising an effective geometric representation to characterize the system's spatially varying… read more here.

Keywords: topology; topology optimization; voronoi; representation ... See more keywords
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Optimization and prefabrication of timber Voronoi shells

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recommendations! Published in 2020 at "Structural and Multidisciplinary Optimization"

DOI: 10.1007/s00158-019-02445-x

Abstract: We introduce a variant of the timber grid shell, the timber Voronoi shell, whose surface is reticulated by Voronoi tessellation and whose edges are made of discrete dimensional timber. This work explores form-finding methods of… read more here.

Keywords: prefabrication timber; timber; voronoi; optimization prefabrication ... See more keywords
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Voronoi tessellation on the ellipsoidal earth for vector data

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recommendations! Published in 2018 at "International Journal of Geographical Information Science"

DOI: 10.1080/13658816.2018.1434890

Abstract: ABSTRACT Voronoi tessellation, and its dual the Delaunay triangulation, provide a cohesive framework for the study and interpretation of phenomena of geographical space in two and three dimensions. The planar and spherical solutions introduce errors… read more here.

Keywords: voronoi diagram; methodology; voronoi; voronoi tessellation ... See more keywords
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Area convergence of Voronoi cells on spiral lattices

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recommendations! Published in 2020 at "Nonlinearity"

DOI: 10.1088/1361-6544/abe733

Abstract: An Archimedean spiral lattice with a radial distance exponent α, is locally approximated by linear lattices. If the angle parameter is badly approximable, the area of the Voronoi cell converges if it is properly normalized… read more here.

Keywords: voronoi cells; cells spiral; voronoi; area convergence ... See more keywords
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Investigation of Voronoi diagram based direction choices using uni- and bi-directional trajectory data.

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recommendations! Published in 2018 at "Physical Review E"

DOI: 10.1103/physreve.97.052127

Abstract: In a crowd, individuals make different motion choices such as "moving to destination," "following another pedestrian," and "making a detour." For the sake of convenience, the three direction choices are respectively called destination direction, following… read more here.

Keywords: voronoi diagram; direction; uni directional; voronoi ... See more keywords
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Heterogeneous Implementation of a Voronoi Cell-Based SVP Solver

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recommendations! Published in 2019 at "IEEE Access"

DOI: 10.1109/access.2019.2939142

Abstract: This paper presents a new, heterogeneous CPU+GPU attacks against lattice-based (post-quantum) cryptosystems based on the Shortest Vector Problem (SVP), a central problem in lattice-based cryptanalysis. To the best of our knowledge, this is the first… read more here.

Keywords: voronoi cell; cpu; voronoi; cell based ... See more keywords
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Voronoi diagrams and self-healing cementitious materials: a perfect match

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recommendations! 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
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Voronoi Diagrams Generated by the Archimedes Spiral: Fibonacci Numbers, Chirality and Aesthetic Appeal

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recommendations! Published in 2023 at "Symmetry"

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