C1 rational interpolation schemes for modelling positive and/or monotonic 3D data.

Autor: Xiangbin Qin, Lei Qin, Qingsong Xu
Předmět:
Zdroj: ScienceAsia; Jun2017, Vol. 43 Issue 3, p186-194, 9p
Abstrakt: By using the boolean sum of cubic interpolating operators to blend together kinds of rational quartic/linear interpolation splines as the boundary functions, a class of C1 bi-cubic partially blended rational quartic/linear interpolation splines with four families of local control parameters is constructed. By developing new constraints on the boundary functions, simple sufficient data-dependent conditions are derived for the local control parameters to generate C1 positivity- and/or monotonicity-preserving interpolation surfaces for positive and/or monotonic data on rectangular grids. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index