Results 1 to 10 of about 1,002,963 (278)
Discrete Yamabe Problem for Polyhedral Surfaces [PDF]
Discrete & Computational Geometry, 2023 AbstractWe study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity.
Dal Poz Kouřimská H.
europepmc +6 more sources
Acute and nonobtuse triangulations of polyhedral surfaces [PDF]
European Journal of Combinatorics, 2009 Call a collection of Euclidean polygons with some pairs of edges isometrically identified a \textit{2-dimensional polyhedral complex}. The author shows that every 2-dimensional polyhedral complex has a triangulation by non-obtuse triangles.
Shubhangi Saraf
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Smooth polyhedral surfaces [PDF]
Advances in Mathematics, 2020 40 pages, 42 ...
Günther, Felix +2 more
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Visual smoothness of polyhedral surfaces [PDF]
ACM Transactions on Graphics, 2019 Representing smooth geometric shapes by polyhedral meshes can be quite difficult in situations where the variation of edges and face normals is prominently visible. Especially problematic are saddle-shaped areas of the mesh, where typical vertices with six incident edges are ill suited to emulate the more symmetric smooth situation. The importance of a
Martin Kilian +2 more
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Pursuit Evasion on Polyhedral Surfaces [PDF]
Algorithmica, 2013 The authors consider a discrete-time pursuit-evasion game played on the surface of a 3-dimensional polyhedron. Play alternates between a team of pursuers and a single evader. On the pursuers' turn, all pursuers may simultaneously move a distance of up to 1 on the surface; on the evader's turn, they may likewise move up to 1 unit away from their current
Kyle Klein, Subhash Suri
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Polyhedral surfaces in wedge products [PDF]
Geometriae Dedicata, 2010 17 pages, 5 ...
Thilo Rörig, Gunter M Ziegler
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Deformations of Period Lattices of Flexible Polyhedral Surfaces [PDF]
Discrete and Computational Geometry, 2014 In the end of the 19th century Bricard discovered a phenomenon of flexible polyhedra, that is, polyhedra with rigid faces and hinges at edges that admit non-trivial flexes. One of the most important results in this field is a theorem of Sabitov asserting that the volume of a flexible polyhedron is constant during the flexion.
Alexander A Gaifullin
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Adjacency Graphs of Polyhedral Surfaces
Discrete & Computational Geometry, 2023 AbstractWe study whether a given graph can be realized as an adjacency graph of the polygonal cells of a polyhedral surface in $${\mathbb {R}}^3$$ R 3 .
Elena Arseneva +6 more
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A digital Jordan surface theorem with respect to a graph connectedness
Open Mathematics, 2023 After introducing a graph connectedness induced by a given set of paths of the same length, we focus on the 2-adjacency graph on the digital line Z{\mathbb{Z}} with a certain set of paths of length nn for every positive integer nn.
Šlapal Josef
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Budownictwo i Architektura, 2023 A novel method for shaping innovative building forms, roofed with diversified complex continuous and discontinuous folded structures composed of many transformed corrugated shell units, is presented in the paper.
Jacek Abramczyk, Katarzyna Chrzanowska
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