Technical reports

Towards a ternary interpolating subdivision scheme for the triangular mesh

N.A. Dodgson, M.A. Sabin, L. Barthe, M.F. Hassan

July 2002, 12 pages

DOI: 10.48456/tr-539

Abstract

We derive a ternary interpolating subdivision scheme which works on the regular triangular mesh. It has quadratic precision and fulfils the standard necessary conditions for C2 continuity. Further analysis is required to determine its actual continuity class and to define its behaviour around extraordinary points.

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BibTeX record

@TechReport{UCAM-CL-TR-539,
  author =	 {Dodgson, N.A. and Sabin, M.A. and Barthe, L. and Hassan,
          	  M.F.},
  title = 	 {{Towards a ternary interpolating subdivision scheme for the
         	   triangular mesh}},
  year = 	 2002,
  month = 	 jul,
  url = 	 {https://www.cl.cam.ac.uk/techreports/UCAM-CL-TR-539.pdf},
  institution =  {University of Cambridge, Computer Laboratory},
  doi = 	 {10.48456/tr-539},
  number = 	 {UCAM-CL-TR-539}
}