Approximating inner scattered point cloud in n-sided region under the constraint of boundary curves and cross-boundary derivatives

摘要

To resolve the problem of approximating scattered points with closed boundary curves constraint, several methods has been analyzed, and a central-point based method has been given here. The key process is to construct inner curves connecting the central point of whole region and middle point of each boundary curve, and divide the whole region into n piece of rectangular patches, so we can construct a base surface with Coons patch. An example of pentagonal surface is given to illustrate this scheme.