Approximation by smoothing variational vector splines for noisy data |
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Authors: | A. Kouibia M. Pasadas |
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Affiliation: | 1. Departamento de Matemática Aplicada, Facultad de Ciencias,Universidad de Granada, 18071 Granada, Spain;2. Faculté Polydiscipliniare de Taza, Morroco |
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Abstract: | This paper addresses the problem of constructing some free-form curves and surfaces from given to different types of data: exact and noisy data. We extend the theory of Dm-splines over a bounded domain for noisy data to the smoothing variational vector splines. Both results of convergence for respectively the exact and noisy data are established, as soon as some estimations of errors are given. |
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Keywords: | 65D05 65D07 65D10 65D17 |
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