Convolution surfaces based on polygonal curve skeletons (Q413411)

This paper reviews and generalizes convolution surfaces, a technique used in computer graphics to generate smooth 3D volumes around skeletons that are lower dimensional or simpler geometric modes of the shape to be created. Convolution surface are defined as level sets of a function obtained by integrating a kernel function along this skeleton. This paper provides new qualitative results and generalizations on the topic when the skeleton is a polygonal line.