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 D m-splines over a bounded domain. The convergence of the method is established and some numerical examples are given.
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Kouibia, A., Pasadas, M. & Torrens, J. Construction of Surfaces with Parallelism Conditions. Numerical Algorithms 33, 331–342 (2003). https://doi.org/10.1023/A:1025588710857
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DOI: https://doi.org/10.1023/A:1025588710857