On C 2 triangle/quad subdivision Academic Article uri icon

abstract

  • In this article, we present a subdivision scheme for mixed triangle/quad meshes that is C2 everywhere except for isolated, extraordinary points. The rules that we describe are the same as Stam and Loop's scheme [2003] except that we perform an unzipping pass prior to subdivision. This simple modification improves the smoothness along the ordinary triangle/quad boundary from C1 to C2, and creates a scheme capable of subdividing arbitrary meshes. Finally, we end with a proof based on Levin and Levin's [2003] joint spectral radius calculation to show our scheme is indeed C2 along the triangle/quad boundary.

published proceedings

  • ACM Transactions on Graphics

author list (cited authors)

  • Schaefer, S., & Warren, J.

citation count

  • 26

complete list of authors

  • Schaefer, Scott||Warren, Joe

publication date

  • January 2005