Titlebook: Mathematics of Surfaces XII; 12th IMA Internation Ralph Martin,Malcolm Sabin,Joab Winkler Conference proceedings 2007 Springer-Verlag Berli

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,Mean Value Bézier Surfaces,lar domains. Recently, Floater introduced mean value coordinates as an alternative to Wachspress coordinates. When used to construct Bézier patches, they offer additional control points without raising the polynomial degree. We investigate the potential of mean value coordinates to design mean value Bézier surfaces.

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Regularity Criteria for the Topology of Algebraic Curves and Surfaces,ese criteria and to compute the intersection of edges or facets of the box with these curves or surfaces. Our treatment of singularities exploits results from singularity theory such as an explicit Whitney stratification or the local conic structure around singularities. A few examples illustrate the behavior of the algorithms.

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A Developable Surface of Uniformly Negative Internal Angle Deficit,planar polyhedral net. It is shown that simply-connected surfaces of negative interior curvature cannot be developed. An example is then given of a surface of negative interior curvature with two boundary loops, isomorphic to a cylinder, which is developable.

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Guided ,, Spline Surfaces with V-Shaped Tessellation,ng these by splines of moderate degree. This paper explains a construction based on tessellating the domain into V-shaped regions so that the resulting .. surfaces have .. transitions across the boundaries of the V-shapes and consist of tensor-product splines of degree (6,6) with patches of degree (4,4) forming a central cap.

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978-3-540-73842-8Springer-Verlag Berlin Heidelberg 2007

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