Three Dimensional Reconstruction of Closed Objects by Piecewise Cubic TriangularBezier Patches

摘要

The problem of constructing a simple visually smooth (VC1) surface whichinterpolates to position values and normal vectors in a number of randomly distributed points on a closed object is considered. It is known that such interpolants can be obtained by building up three quartic polynomial patches on each element of some triangulation with vertices in the data points. By some essential, but easily implemented modifications of this method, one can restrict oneself to the use of cubic patches.