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Construction of Surfaces with Parallelism Conditions |
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| Authors: | A. Kouibia M. Pasadas J.J. Torrens |
| Affiliation: | (1) Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Severo Ochoa s/n, E-18071 Granada, Spain;(2) Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía, E-31006 Pamplona, Spain |
| Abstract: | In this paper we define the notion of pseudo-parallel parameterized surfaces, extending that of offset surfaces. Then we consider the problem of fitting a set of scattered points with a surface pseudo-parallel to a given reference surface. We propose a method of solution based on a modified version of the classical smoothing Dm-splines over a bounded domain. The convergence of the method is established and some numerical examples are given. |
| Keywords: | pseudo-parallel surfaces offset surfaces surface fitting parallelism conditions |
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