Mathematics of Surfaces XI: 11th IMA International by Florian Albat, Rainer Müller (auth.), Ralph Martin, Helmut

By Florian Albat, Rainer Müller (auth.), Ralph Martin, Helmut Bez, Malcolm Sabin (eds.)

This ebook constitutes the refereed court cases of the eleventh IMA overseas convention at the arithmetic of Surfaces, held in Loughborough, united kingdom in September 2005.

The 28 revised complete papers provided have been rigorously reviewed and chosen from a number of submissions. one of the subject matters addressed are Voronoi diagrams, linear structures, curvatures on meshes, approximate parameterization, numbers, pythagorean hodographs, artifacts in B-spline surfaces, B?zier surfaces of minimum strength, line subdivision, subdivision surfaces, point units and symmetry, the topology of algebraic surfaces, embedding graphs in manifolds, restoration of 3D form from shading, discovering optimum feedrates for machining, and enhancing of diversity data.

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Additional info for Mathematics of Surfaces XI: 11th IMA International Conference, Loughborough, UK, September 5-7, 2005. Proceedings

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Alboul and G. Echeverria Fig. 9. Gauss images of a generalised monkey saddle Fig. 10. Pinch vertex with the corresponding Gauss map Fig. 11. Reverse pinch vertex with the corresponding Gauss map counter clockwise). e. clockwise). The Gauss map of the pinch vertex, presented in Fig. 10, has two overlapping areas, each of positive sign. One area is equal to the curvature of the convex star of the pinch vertex. Polyhedral Gauss Maps and Curvature Characterisation of Triangle Meshes 29 Fig. 12. Cone-eight with the corresponding Gauss map The Gauss map of the reverse pinch vertex, presented in Fig.

We use the resulting pattern of distances to embed the nodes of the graph on a manifold using multidimensional scaling. The distribution of embedded points can be used to characterise the graph, and can be used for the purposes of graph clustering. Here for the sake of simplicity, we use spatial moments. We experiment with the resulting algorithms on the COIL database, and they are demonstrated to offer a useful margin of advantage over existing alternatives. 1 Introduction One of the problems that arises in the manipulation of large amounts of graph data is that of embedding the nodes of individual graphs in a low dimensional space.

Rand: Objective criteria for the evaluation of clustering. Journal of the American Statistical Association 66 (1971) 846–850 26. Caelli: Constant curvature Riemannian scaling. de Abstract. We propose a fully automatic and view-independent computational procedure for detecting salient curvature extrema in range data. Our method consists of two major steps: (1) smoothing given range data by applying a nonlinear diffusion of normals with automatic thresholding; (2) using a Canny-like non-maximum suppression and hysteresis thresholding operations for detecting crease pixels.

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