Convolution Surfaces based on Polygonal Curve Skeletons

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 models of the shape to be created. Convolution surfaces are defined as level sets of a function obtained by integrating a kernel function along this skeleton. To allow interactive modeling, the technique has relied on closed form formulae for integration obtained through symbolic computation software.