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Titlebook: Mathematical Methods for Curves and Surfaces; 7th International Co Morten Dæhlen,Michael Floater,Larry L. Schumaker Conference proceedings

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Subdivision Schemes and Norms the second, the contraction of the modulus of continuity of the refinements. The third one resorts to the notion of joint norm and may be used only for affine periodic subdivision schemes. We will relate these three criteria together by using specific norms for subdivision operators which make them
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Geometric Design Using Space Curves with Rational Rotation-Minimizing Framesth the tangent . = .′/ |.′|, while the frame angular velocity . maintains a zero component along it, i.e., .·. ≡ 0. Such frames are useful in constructing swept surfaces and specifying the orientation of a rigid body moving along a given spatial path. Recently, the existence of quintic polynomial cu
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Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfthe antagonism between the rules which would create a nice limit surface at the EV and the ordinary rules used in the surrounding regular surface..We show that even a scheme which fulfils the most recently proposed conditions for good convergence at the EV may still produce this wave pattern..Then,
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Simplification of FEM-Models on Cell BEs important that the simplified model has the same mechanical properties as the original one, and that the deviation from the original stays within a given tolerance..Most FE mesh simplification algorithms are either fully or partially sequential, and are therefore not suitable for architectures wit
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Reparameterization of Curves and Surfaces with Respect to Their Convolution simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gröbner basis theory we decide the simplest possible way for obtaining coherent parametri
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