Results 31 to 40 of about 1,002,963 (278)
, 2017 Polyhedral surfaces are fundamental objects in architectural geometry and industrial design. Whereas closeness of a given mesh to a smooth reference surface and its suitability for numerical simulations were already studied extensively, the aim of our ...
Pottmann, Helmut +2 more
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Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
Axioms, 2014 The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs.
Benoît Loisel, Pascal Romon
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Rigidity of polyhedral surfaces, III [PDF]
Geometry & Topology, 2011 This paper investigates several global rigidity issues for polyhedral surfaces including inversive distance circle packings. Inversive distance circle packings are polyhedral surfaces introduced by P. Bowers and K. Stephenson as a generalization of Andreev-Thurston's circle packing.
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Silver(I) and Copper(I) Complexation with Decachloro-Closo-Decaborate Anion
Crystals, 2020 A series of complexation reactions of silver(I) and copper(I) in the presence of a polyhedral weakly coordinating [B10Cl10]2− anion has been carried out.
Varvara V. Avdeeva +4 more
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Anomalous shape effect of nanosized helium bubble on the elastic field in irradiated tungsten
Scientific Reports, 2021 Bubble pressure and elastic response in helium-irradiated tungsten are systematically investigated in this study. An anomalous shape effect is found that the radial normal stress and mean stress distributions around a nanosized void or bubble are far ...
Xinlong Huang +2 more
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Shortest Path Problems on a Polyhedral Surface [PDF]
Algorithmica, 2009 We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface are measured either by the length of a Euclidean shortest path or by link distance. Our main result is a linear-factor speedup for computing all shortest path edge sequences on
Atlas F. Cook IV, Carola Wenk
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Discrete conformal equivalence of polyhedral surfaces [PDF]
ACM Transactions on Graphics, 2021 This paper describes a numerical method for surface parameterization, yielding maps that are locally injective and discretely conformal in an exact sense. Unlike previous methods for discrete conformal parameterization, the method is guaranteed to work for any manifold triangle mesh, with no restrictions on triangulatiothat each task can ...
Mark Gillespie +2 more
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STUDY ON THE SOLVING OF SURFACES INTERSECTIONS IN PROJECTIONS WITH ELEVATIONS
Journal of Industrial Design and Engineering Graphics, 2022 This paper presents two examples for the solution of polyhedral surfaces intersection, of elliptical paraboloid respectively, by making use of the representation system of the projections with elevations.
Raluca Nerisanu, Delia Dragan
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Storing the subdivision of a polyhedral surface [PDF]
Proceedings of the second annual symposium on Computational geometry - SCG '86, 1986 Let P be a polyhedron, composed of a finite number of vertices, n (say) edges, and convex polygonal faces in 3-space, and suppose P simply- connected (although this condition can be relaxed a little). Let P be subdivided by a graph Q consisting of a finite number m (say) of geodesics on P, and suppose that there are K intersections between edges of P ...
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Curvature for polyhedral surfaces
, 2020 We explore discrete curvature notions in particular for polyhedral surfaces but also for special polygonal surfaces. We will lay our focus on vanishing and constant discrete and semi-discrete mean curvature notions which discretize minimal and cmc ...
Müller, Christian
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