Titlebook: Mathematics of Surfaces XI; 11th IMA Internation Ralph Martin,Helmut Bez,Malcolm Sabin Conference proceedings 2005 Springer-Verlag Berlin H

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Multi-sided Attribute Based Modeling,squares solution of points on given input curves where a separate parameter space with control structures determines its weights. It is a generalization of Shepard’s method to a parameterized vector solution. The method generates surface patches that satisfy certain minimal energy conditions. it emp

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Euclidean Voronoi Diagrams of 3D Spheres: Their Construction and Related Problems from Biochemistry of point sets have been well-known, their counterparts for a set of spheres have not been sufficiently studied..In this paper, we present properties and two algorithms for Voronoi diagrams of 3D spheres based on the Euclidean distance from the surface of spheres. Starting from a valid initial Voron

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The Importance of Polynomial Reproduction in Piecewise-Uniform Subdivision,urfaces. The theory presented in these works relies mainly on the notion of ., i.e. the ability of a scheme to reproduce all polynomials up to a certain degree as limit functions. We demonstrate that the study of polynomial reproduction is central to smoothness analysis and to approximation. In part

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,Bézier Surfaces of Minimal Internal Energy, triangular and rectangular are investigated. As a result, two new bending energy masks for finding Bézier surfaces of minimal bending energy for both triangular and rectangular cases are proposed. Experimental comparisons of these two new bending energy masks with existing Dirichlet, Laplacian, har

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t the accent is put on the development of tools and the design of schemes for which one can rigorously prove nonlinear stability properties. Sufficient conditions for a scheme to preserve an invariant domain or to satisfy discrete entropy inequalities are systematically exposed, with analysis of sui

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