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

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Multiresolution Analysis for Minimal Energy ,,-Surfaces on Powell-Sabin Type Meshest applications of the theory are given: In the first one we develop an algorithm for noise reduction of signals. The second one is related to the localization of the regions where the energy of a given function is mostly concentrated. Some numerical and graphical examples for different test functions and resolution levels are given.

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https://doi.org/10.1007/978-3-642-11620-9Hermite interpolation; Hopf map representation; algebraic geometry; approximation theory; bivariate inte

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978-3-642-11619-3Springer-Verlag Berlin Heidelberg 2010

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Mean Distance from a Curve to Its Control PolygonThe mean distance between a curve and its control polygon is bounded in terms of the norm of second order differences of the control points. We also analyze the distance of a rational curve to its control polygon and suggest a choice of the weight for obtaining rational curves much closer to its control polygon than Bézier curves.

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Compactly Supported Splines with Tension Properties on a Three-Direction MeshIn this paper we show that for a regular triangulation it is possible to construct composite triangular .. functions with local tension properties which are non-negative and compactly supported. Moreover, they form a partition of unity and reproduce first degree polynomials.

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