Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
maximize

Cover Construction

Depicted in the figures given below are the initially given point sets for the our hierarchical cover construction algorithms (see [2]), the point sets and cover patches constructed by the algorithm for our partition of unity. Furthermore, some of the resulting partition of unity functions using Shepard's method based on these covers using a linear B-spline weight function on each patch are given.

Hierarchical Cover Construction
Given initial point set. Constructed point set for PUM. Cover constructed.
Shepard function for inner point. Shepard function for boundary point. Shepard function for corner point.

Hierarchical Regular Cover Construction
Given initial point set. Constructed point set for PUM. Cover constructed.
Shepard function for inner point. Shepard function for boundary point. Shepard function for corner point.


Marc Alexander Schweitzer
Last modified: Sat Nov 11 18:55:23 CET 2000