A $C^2$ cubic local interpolating B2-spline, controllable by a shape parameter, is introduced and its properties analyzed. An algorithm for the automatic selection of the free parameter is developed and tested on several examples. Finally, a two-phase subdivision scheme for its efficient evaluation at dyadic points is presented.
Romani Lucia (2019). Local cardinal interpolation by C^2 cubic B2-splines with a tunable shape parameter. APPLIED MATHEMATICS LETTERS, 94, 13-20 [10.1016/j.aml.2019.02.017].
Local cardinal interpolation by C^2 cubic B2-splines with a tunable shape parameter
Romani Lucia
2019
Abstract
A $C^2$ cubic local interpolating B2-spline, controllable by a shape parameter, is introduced and its properties analyzed. An algorithm for the automatic selection of the free parameter is developed and tested on several examples. Finally, a two-phase subdivision scheme for its efficient evaluation at dyadic points is presented.File in questo prodotto:
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postprint_AML2019b.pdf
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