Spline coalescence hidden variable fractal interpolation functions

[摘要] This paper generalizes the classical spline using a new construction of spline coalescencehidden variable fractal interpolation function (CHFIF). The derivative of aspline CHFIF is a typical fractal function that is self-affine or non-self-affinedepending on the parameters of a nondiagonal iterated function system. Our constructiongeneralizes the construction of Barnsley and Harrington (1989), when the constructionis not restricted to a particular type of boundary conditions. Spline CHFIFsare likely to be potentially useful in approximation theory due toeffects of the hidden variables and these effects are demonstrated through suitable examplesin the present work.

[学科分类] 应用数学