Results 11 to 20 of about 414,285 (246)
Voronoi Diagram with Visual Restriction
Theoretical Computer Science, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chenglin Fan +3 more
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The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells. [PDF]
Adv Sci (Weinh)Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Morato L +9 more
europepmc +2 more sources
To Be or Not to Be Eutectic: Anomalous Glass Forming Ability Governed by Melt Structural Complexity. [PDF]
Adv Sci (Weinh)Challenging the eutectic rule, congruently melting Ti–Cu alloys show greater glass‐forming ability than their eutectic counterparts. This arises from the congruent melt's structural complexity: higher cluster diversity and stronger inter‐cluster correlations from entropy–enthalpy competition.
Chen W +18 more
europepmc +2 more sources
Incremental Voronoi Diagrams [PDF]
Discrete & Computational Geometry, 2017 We study the amortized number of combinatorial changes (edge insertions and removals) needed to update the graph structure of the Voronoi diagram $\mathcal{V}(S)$ (and several variants thereof) of a set $S$ of $n$ sites in the plane as sites are added.
Sarah R. Allen +3 more
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Rounding Voronoi diagram [PDF]
Theoretical Computer Science, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Devillers, Olivier +1 more
openaire +5 more sources
Voronoi diagrams and arrangements [PDF]
Discrete & Computational Geometry, 1985 The authors propose a natural general framework for defining and dealing with diagrams of Voronoi type. An important concept is the notion of an \(f_ E\)-arrangement over a domain D, i.e. the partition of \(D\times {\mathbb{R}}\) induced by a collection \(f_ E\) (indexed by the finite set E) of real valued functions on D. E.g.
Edelsbrunner, H., Seidel, Raimund
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Simplified Voronoi diagrams [PDF]
Discrete & Computational Geometry, 1987 The move of a polytope in the 3-space among obstacle polytopes can be described as a path in the configuration space \(R^ 3\times SO(3)\). The problem of finding a possible path between two points of the configuration space arises from robot path planning and is known among piano movers as well.
Canny, John, Donald, Bruce Randall
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Bregman Voronoi Diagrams [PDF]
Discrete & Computational Geometry, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-Daniel Boissonnat +2 more
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Tropical Bisectors and Voronoi Diagrams [PDF]
Foundations of Computational Mathematics, 2021 AbstractIn this paper we initiate the study of tropical Voronoi diagrams. We start out with investigating bisectors of finitely many points with respect to arbitrary polyhedral norms. For this more general scenario we show that bisectors of three points are homeomorphic to a non-empty open subset of Euclidean space, provided that certain degenerate ...
Criado, Francisco +2 more
openaire +7 more sources
A Transcriptionally Distinct Intermediate Activation State Precedes Langerhans Cell Migration From the Epidermis. [PDF]
Adv Sci (Weinh)A transcriptionally distinct intermediate Langerhans cell state is identified between steady and migratory populations during skin injury. Integrated single‐cell transcriptomics, flow cytometry, and intravital imaging reveal state‐specific markers and implicate complement signaling, particularly C3, in regulating Langerhans cell accumulation near ...
Kiselev A +5 more
europepmc +2 more sources