# 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**

**Hierarchical Regular Cover Construction**

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