Loop subdivision surfaces are defined recursively, dividing each triangle into four smaller ones. The method is based on a quarticbox spline. It generates C2 continuous limit surfaces everywhere except at extraordinary vertices, where they are C1 continuous.[4]
↑Catmull, E.; Clark, J. (November 1978). "Recursively generated B-spline surfaces on arbitrary topological meshes". Computer-Aided Design. 10 (6): 350–355. doi:10.1016/0010-4485(78)90110-0.
↑Doo, D.; Sabin, M. (November 1978). "Behaviour of recursive division surfaces near extraordinary points". Computer-Aided Design. 10 (6): 356–360. doi:10.1016/0010-4485(78)90111-2.
↑Wiliam A. P. Smith (2020). "6. 3D Data Representation, Storage and Processing". 3D Imaging, Analysis and Applications (2nd 2020ed.). Springer International Publishing. pp.298–299. ISBN978-3030440701.
