Ternary Interpolatory Subdivision Schemes for the Triangular Mesh

Hongchan Zheng and Zhenglin Ye
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Hongchan Zheng: Northwestern Polytechnical University, Department of Applied Mathematics
Zhenglin Ye: Northwestern Polytechnical University, Department of Applied Mathematics

A chapter in Current Trends in High Performance Computing and Its Applications, 2005, pp 197-206 from Springer

Abstract: Abstract A ternary interpolatory subdivision scheme based on interpolatory $$\sqrt 3 $$ -subdivision is proposed first. The limit surface is C1-continuous. To improve its property, a kind of ternary interpolatory subdivision scheme with two shape parameters is constructed and analyzed. It is shown that for a certain range of the parameters the resulting surface can be C1-continuous.

Keywords: interpolation; $$\sqrt 3 $$ -subdivision; ternary subdivision; Ck-continuity (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27912-9_19

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DOI: 10.1007/3-540-27912-1_19

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