Locally tensor product functions |
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Authors: | Christophe Rabut |
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Institution: | (1) Département de Génie mathématique, Laboratoire Mathématiques pour l Industrie et la Physique (UMR 5640), Institut National des Sciences Appliquées, 135, avenue de Rangueil, F-31077 Toulouse Cedex 4, France |
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Abstract: | We present in this paper a family of functions which are tensor product functions in subdomains, while not having the usual drawback of functions which are tensor product functions in the whole domain. With these functions we can add more points in some region without adding points on lines parallel to the axes. These functions are linear combinations of tensor product polynomial B-splines, and the knots of different B-splines are less connected together than with usual polynomial B-splines. Approximation of functions, or data, with such functions gives satisfactory results, as shown by numerical experimentation.
AMS subject classification 41A15, 41A63, 65Dxx |
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Keywords: | tensor product splines local refinement |
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