We present $C^2$ quasi-interpolating schemes with tension properties. The B-splines like functions used in the quasi-interpolanting schemes are parametric cubic curves and their shape can be easily controlled via tension parameters which have an immediate geometric interpretation. Applications to the problem of approximation of curves with shape-constraints are discussed.
Manni, C., Pelosi, F. (2004). Quasi-interpolants with tension properties from and in CAGD. COMPUTING, 72, 143-160 [10.1007/s00607-003-0053-z].
Quasi-interpolants with tension properties from and in CAGD
MANNI, CARLA;PELOSI, FRANCESCA
2004-01-01
Abstract
We present $C^2$ quasi-interpolating schemes with tension properties. The B-splines like functions used in the quasi-interpolanting schemes are parametric cubic curves and their shape can be easily controlled via tension parameters which have an immediate geometric interpretation. Applications to the problem of approximation of curves with shape-constraints are discussed.File in questo prodotto:
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