Interpolation on surfaces using minimum norm network (Q1195060)

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scientific article; zbMATH DE number 68927
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Interpolation on surfaces using minimum norm network
scientific article; zbMATH DE number 68927

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    Interpolation on surfaces using minimum norm network (English)
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    13 October 1992
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    The paper contains new methods for interpolating scattered data on a surface, based upon a functional minimization that characterizes the restriction of the final interpolant to curves which form the edges in a triangulation of the domain surface. The author also considers minimum norm networks with tension properties. An appropriate method for extending the network data to a final \(C^ 1\) interpolant is described and finally special cases, extensions, and applications in surface design are addressed.
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    scattered data fitting
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    interpolation
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    surfaces
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    minimum norm network
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    functional minimization
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    tension
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    triangular interpolant
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    scientific visualization
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