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A new 4-point $C^{3}$ quaternary approximating subdivision scheme. (English) Zbl 1167.65342
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:
 65D18 Computer graphics, image analysis, and computational geometry
##### Keywords:
subdivision scheme; smoothness; approximation order
Full Text:
##### References:
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