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Titlebook: Geometric Modelling; Dagstuhl 1999 Comput Guido Brunnett,Hanspeter Bieri,Gerald Farin Conference proceedings 2001 Springer-Verlag/Wien 2001

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Feature-Based Matching of Triangular Meshes,eptable matching of the given meshes. For refined matching the iterated closest point approach is used which is speeded up by using an “nearest-neighbor-octree” for search space reduction. The solution aims at meshes with a high number of vertices.
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Blossoming and Divided Difference,re presented that express the divided differences of polynomials in terms of the blossom. Canonical examples are provided for the blossom, the divided difference, and the extended blossom, and general proof procedures are developed based on these characteristic functions.
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C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree,ch conform with the discrete convexity and torsion information contained in the associated polygonal interpolant. The performance of the algorithm, in particular the . effect of the achieved high parametric continuity, is tested and discussed for a planar and a spatial data set.
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An Algorithm to Triangulate Surfaces in 3D Using Unorganised Point Clouds,g local triangular complexes to obtain an unambiguous 2D-manifold triangulation. We use all the given sample points as vertices, which is a natural requirement. Our method is able to handle open boundaries and holes, different geni (for example tori) and unoriented surfaces in a computationally efficient way.
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,Implicit Surfaces Revisited — ,-Patches,, however, that they represent a . based on distance functions. This property motivates our scheme, wherein classical implicit techniques are mixed with new features. Several examples are given to prove the feasibility of .-patches for shape design.
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