A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is C 2 . The role of the tension parameter is demonstrated by a few examples. There is a brief discussion of computational
An interpolating 6-point non-stationary subdivision scheme
โ Scribed by Sunita Daniel; P. Shunmugaraj
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 818 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper we consider a 6-point interpolating C 2 binary non-stationary subdivision scheme and present some of its important properties. We highlight some advantages of the scheme and demonstrate its performance by some examples.
๐ SIMILAR VOLUMES
We study the necessary and sufficient conditions for the generation of polynomials by stationary subdivision schemes, and we show how to derive appropriate quasi-interpolation rules that have the optimal approximation order. We show that these conditions hold in the context of non-uniform subdivisio
We present a non-stationary subdivision scheme for generating surfaces from meshes of arbitrary topology. Surfaces generated by this scheme are tensor product bi-quadratic trigonometric spline surfaces except at the extraordinary points. The scheme can be considered as a adaptation of the Doo-Sabin