Results 11 to 20 of about 114,704 (258)
On Barycentric Subdivision [PDF]
Combinatorics, Probability and Computing, 2010 Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov chain. We show that, almost surely, the triangles forming this chain become flatter and flatter in the sense that their isoperimetric values go to infinity ...
Persi Diaconis, Laurent Miclo
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ACM Transactions on Graphics, 2020 This paper introduces Neural Subdivision , a novel framework for data-driven coarse-to-fine geometry modeling. During inference, our method takes a coarse triangle mesh as input and recursively subdivides it to a finer geometry by applying the fixed topological updates of Loop Subdivision, but predicting vertex ...
Hsueh-Ti Derek Liu +4 more
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Journal of Graph Theory, 2021 AbstractWe prove that for every graph of maximum degree at most 3 and for every positive integer there is a finite such that every ‐minor contains a subdivision of in which every edge is replaced by a path whose length is divisible by . For the case of cycles we show that for every ‐minor contains a cycle of length divisible by , and observe that ...
Noga Alon, Michael Krivelevich
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Connectional subdivision of the claustrum: two visuotopic subdivisions in the macaque [PDF]
Frontiers in Systems Neuroscience, 2014 The claustrum is a surprisingly large, sheet-like neuronal structure hidden beneath the inner surface of the neocortex. We found that the portions of the claustrum connected with V4 appear to overlap considerably with those portions connected with other cortical visual areas, including V1, V2, MT, MST and FST, TEO and TE.
Gattass, Ricardo +3 more
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The Electronic Journal of Combinatorics, 2019 We develop the theory of simple pentagonal subdivision of quadrilateral tilings, on orientable as well as non-orientable surfaces. Then we apply the theory to answer questions related to pentagonal tilings of surfaces, especially those related to pentagonal or double pentagonal subdivisions.
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Remote Sensing, 2021 Remote sensing building extraction is of great importance to many applications, such as urban planning and economic status assessment. Deep learning with deep network structures and back-propagation optimization can automatically learn features of ...
Shuting Sun +5 more
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Lifted generalized permutahedra and composition polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce a "lifting'' construction for generalized permutohedra, which turns an $n$-dimensional generalized permutahedron into an $(n+1)$-dimensional one.
Federico Ardila, Jeffrey Doker
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Frontiers in Neuroscience, 2021 Compelling evidence has suggested that the human cerebellum is engaged in a wide range of cognitive tasks besides traditional opinions of motor control, and it is organized into a set of distinct functional subregions.
Jianing Hao +4 more
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Subdivisions of shellable complexes
Journal of Combinatorial Theory, Series A, 2022 In geometric, algebraic, and topological combinatorics, the unimodality of combinatorial generating polynomials is frequently studied. Unimodality follows when the polynomial is (real) stable, a property often deduced via the theory of interlacing polynomials.
Max Hlavacek, Liam Solus
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The Effect of subdivision regulations on housing typologies
Sulaimani Journal for Engineering Sciences, 2023 City planners and related professionals use various tools to control the built environment and its development. This goal couldn’t be achieved without considering housing typology because housing takes up the largest portion of most cities.
Luqman Sabir Ali +1 more
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