A pentagonal surface patch for computer aided geometric design (Q1060528)

The mathematical description of complicated surfaces sometimes requires the inclusion of patches with pentagonal shape. These are tedious to describe by conventional methods, and therefore the authors develop a method that is tailored just for this special case. The patch is of the Coons type, with five arbitrary boundary curves to be prescribed. A \(C^ 0\) and a \(C^ 1\) version are presented, both making use of convex combinations. An example is given showing how to integrate a pentagonal patch into a network of bicubic patches.