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Titlebook: Geometric Modelling; Dagstuhl 2002 Stefanie Hahmann,Guido Brunnett,Ron Goldman Conference proceedings 2004 Springer-Verlag/Wien 2004 3D.CAM

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Biorthogonal Loop-Subdivision Wavelets,e recursively defined by Loop subdivision for arbitrary manifold triangle meshes. We orthogonalize our wavelets with respect to local scaling functions. This way, the wavelet analysis computes locally a least squares fit when reducing the resolution and converting geometric detail into sparse wavele
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Fairness Criteria for Algebraic Curves,ding energy. In addition, we take certain feasibility criteria for the algebraic curve segment into account. We describe a computational technique for the variational design of algebraic curves, using an SQP (sequential quadratic programming) — type method for constrained optimization. As demonstrat
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Spline Curve Approximation and Design by Optimal Control Over the Knots,mization such as in [16] is that it can handle both approximation and interpolation. Moreover a cost function is introduced to implement a design objective (shortest curve, smoothest one etc...). The present work introduces the Optimal Control over the knot vectors of non-uniform B-Splines. Violatio
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,Bounding the Distance between 2D Parametric Bézier Curves and their Control Polygon,ic Bézier curve and a parameterization of its control polygon based on the Greville abscissae. Several of the norms appearing in these bounds are orientation dependent. We next present algorithms for finding the optimal orientation angle for which two of these norms become minimal. The use of these
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Robust Spherical Parameterization of Triangular Meshes,phing. Closed, manifold, genus-0 meshes are topologically equivalent to a sphere, hence this is the natural parameter domain for them. Parameterizing a 3D triangle mesh onto the 3D sphere means assigning a 3D position on the unit sphere to each of the mesh vertices, such that the spherical triangles
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