Journal of Applied Mathematics

Spline coalescence hidden variable fractal interpolation functions

A. K. B. Chand and G. P. Kapoor

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

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J. Appl. Math., Volume 2006 (2006), Article ID 36829, 17 pages.

First available in Project Euclid: 16 January 2007

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Chand, A. K. B.; Kapoor, G. P. Spline coalescence hidden variable fractal interpolation functions. J. Appl. Math. 2006 (2006), Article ID 36829, 17 pages. doi:10.1155/JAM/2006/36829.

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