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Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
An interpolating 4-point $C^{2}$ ternary non-stationary subdivision scheme with tension control. (English)
[J] Comput. Aided Geom. Des. 24, No. 4, 210-219 (2007). ISSN 0167-8396

Summary: We present a non-stationary 4-point ternary interpolatory subdivision scheme which provides the user with a tension parameter that, when increased within its range of definition, can generate $C^{2}$-continuous limit curves showing considerable variations of shape.As a generalization we additionally propose a locally-controlled $C^{2}$-continuous subdivision scheme, which allows a different tension value to be assigned to every edge of the original control polygon.

MSC 2000:: *65D17 Computer aided design (modeling of curves and surfaces)

Keywords: subdivision; interpolation; curves; ternary; locality; tension control

Cited in: Zbl 1179.65023 Zbl 1221.65045

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