Results 11 to 20 of about 68,932 (207)
Frontiers in Bioinformatics, 2023 Over the last decade, single-molecule localization microscopy (SMLM) has revolutionized cell biology, making it possible to monitor molecular organization and dynamics with spatial resolution of a few nanometers.
Florian Levet, Florian Levet
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From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns
Entropy, 2022 Properties of the Voronoi tessellations arising from random 2D distribution points are reported. We applied an iterative procedure to the Voronoi diagrams generated by a set of points randomly placed on the plane. The procedure implied dividing the edges
Irina Legchenkova +5 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
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2012 Molecular shape is one of the most critical factors that determines molecular function. Therefore, it is frequently desirable to understand geometric characteristics of a molecule more precisely and efficiently. In this paper, we introduce the BetaMol, a
Youngsong CHO +6 more
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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, J., Donald, Bruce
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Poisson–Voronoi approximation
The Annals of Applied Probability, 2009 Published in at http://dx.doi.org/10.1214/08-AAP561 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Heveling, Matthias, Reitzner, Matthias
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Constructive Mathematical Analysis, 2022 Recently, the construction of 2D empirical wavelets based on partitioning the Fourier domain with the watershed transform has been proposed. If such approach can build partitions of completely arbitrary shapes, for some applications, it is desirable to keep a certain level of regularity in the geometry of the obtained partitions.
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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds
Entropy, 2020 We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
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Voronoi's conjecture for extensions of Voronoi parallelohedra [PDF]
Russian Mathematical Surveys, 2014 Let $I$ be a segment in the $d$-dimensional Euclidean space $\mathbb E^d$. Let $P$ and $P+I$ be parallelohedra in $\mathbb E^d$, where "+" denotes the Minkowski sum. We prove that Voronoi's Conjecture holds for $P+I$, i.e. $P+I$ is a Voronoi parallelohedron for some Euclidean metric in $\mathbb E^d$, if Voronoi's Conjecture holds for $P$.
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Vesicle computers: Approximating a Voronoi diagram using Voronoi automata [PDF]
Chaos, Solitons & Fractals, 2011 Irregular arrangements of vesicles filled with excitable and precipitating chemical systems are imitated by Voronoi automata --- finite-state machines defined on a planar Voronoi diagram. Every Voronoi cell takes four states: resting, excited, refractory and precipitate.
Adamatzky A. +4 more
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