The Simplest Subdivision Scheme for Smoothing Polyhedra
Jörg Peters, Ulrich Reif
In ACM Transactions on Graphics, 16(4), October 1997.
Abstract: Given a polyhedron, construct a new polyhedron by connecting every edge to its four neighboring edge-midpoints. This refinement rule yields a C1 surface and the surface has a piecewise quadratic parametrization except at a finite number of isolated points. We analyze and improve the construction.
Keyword(s): algorithms, design, arbitrary topology, box-spline, characteristic map, simplest smooth subdivision, surface
BibTeX format:
@article{Peters:1997:TSS,
  author = {Jörg Peters and Ulrich Reif},
  title = {The Simplest Subdivision Scheme for Smoothing Polyhedra},
  journal = {ACM Transactions on Graphics},
  volume = {16},
  number = {4},
  pages = {420--431},
  month = oct,
  year = {1997},
}
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