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Zbl 1167.65342
Mustafa, Ghulam; Khan, Faheem
A new 4-point $C^{3}$ quaternary approximating subdivision scheme.
(English)
[J] Abstr. Appl. Anal. 2009, Article ID 301967, 14 p. (2009). ISSN 1085-3375; ISSN 1687-0409/e

Summary: A new 4-point $C^{3}$ quaternary approximating subdivision scheme with one shape parameter is proposed and analyzed. Its smoothness and approximation order are higher but support is smaller in comparison with the existing binary and ternary 4-point subdivision schemes.
MSC 2000:
*65D18 Computer graphics and computational geometry

Keywords: subdivision scheme; smoothness; approximation order

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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