Unified subdivision for arbitrary and partial degree surfaces and curves with consistent property propagation

摘要

To create an arbitrary-degree limit surface from a mesh, the mesh is first linearly subdivided. Additional linear subdivision and smoothing operations are performed on the initially linearly subdivided mesh. The number of sets of linear subdivision and smoothing operations depends on the desired surface-degree and subdivision level. This procedure can be used to create arbitrary-degree limit surfaces without performing a dual operation. During subdivision the topology of the intermediate mesh is independent of the goal limit surface-degree.