Construction of Surfaces with Parallelism Conditions
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.