Slicing Contour Generation of Z-Constant Contour Machining for Subdivision Surface

Abstract

For the Z-constant contour machining, a slicing contour generation procedure for subdivision surface is presented. Subdivision surface defines a smooth surface as the limit of a sequence of successive refinements starting from an initial control mesh. It can easily generate smooth surfaces of complex arbitrary topology without intricate patch stitching and curve trimming. Instead of randomly intersecting each facet with a slicing plane and having to construct the slicing contour later, this paper takes full use of the topological information of subdivision surface to construct the slicing contour. The contour information is collected as marching from one effective edge to neighboring effective edge. Example shows our method is obviously easier and the complexity has been reduced