In this paper 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 C²-continuous limit curves showing considerable variations of shape. As a generalization we additionally propose a locally-controlled C²-continuous subdivision scheme, which allows a different tension value to be assigned to every edge of the original control polygon.

Beccari, C., Casciola, G., & Romani, L. (2007). An interpolating 4-point C² ternary non-stationary subdivision scheme with tension control. COMPUTER AIDED GEOMETRIC DESIGN, 24(4), 210-219 [10.1016/j.cagd.2007.02.001].

An interpolating 4-point C² ternary non-stationary subdivision scheme with tension control

ROMANI, LUCIA
2007-05

Abstract

In this paper 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 C²-continuous limit curves showing considerable variations of shape. As a generalization we additionally propose a locally-controlled C²-continuous subdivision scheme, which allows a different tension value to be assigned to every edge of the original control polygon.
Articolo in rivista - Articolo scientifico
Scientifica
Subdivision; Interpolation; Curves; Ternary; Locality; Tension control
English
210
219
Beccari, C., Casciola, G., & Romani, L. (2007). An interpolating 4-point C² ternary non-stationary subdivision scheme with tension control. COMPUTER AIDED GEOMETRIC DESIGN, 24(4), 210-219 [10.1016/j.cagd.2007.02.001].
Beccari, C; Casciola, G; Romani, L
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/7672
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