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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. (Update)
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BibTeX entry: (Update)
N. A. Dodgson, M. A. Sabin, L. Barthe, and M. F. Hassan. Towards a ternary interpolating subdivision scheme for the triangular mesh. University of Cambridge Computer Laboratory Technical Report No. 539, 2002. http://citeseer.ist.psu.edu/dodgson02towards.html More
@misc{ dodgson02towards,
author = "N. Dodgson and M. Sabin and L. Barthe and M. Hassan",
title = "Towards a ternary interpolating subdivision scheme for the triangular mesh",
text = "N. A. Dodgson, M. A. Sabin, L. Barthe, and M. F. Hassan. Towards a ternary
interpolating subdivision scheme for the triangular mesh. University of
Cambridge Computer Laboratory Technical Report No. 539, 2002.",
year = "2002",
url = "citeseer.ist.psu.edu/dodgson02towards.html" }
Citations (may not include all citations):145 A butterfly subdivision scheme for surface interpolation wit.. (context) - Dyn, Levin et al. - 1990
86 point interpolatory subdivision scheme for curve design (context) - Dyn, Levin et al. - 1987
7 Eigenanalysis and artifacts of subdivision curves and surfac.. (context) - Sabin - 2002
4 ternary stationary subdivision scheme (context) - Hassan, Ivrissimitzis et al. - 2002
3 Analysis of convergence and smoothness by the formalism of L.. (context) - Dyn - 2002
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