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CUBIC SPLINE COALESCENCE FRACTAL INTERPOLATION THROUGH MOMENTS

Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur-208016, India

Presently at Departamento de Matemática Aplicada, Centro Politécnico Superior de Ingenieros, Universidad de Zaragoza. C/Mariá de Luna, 3, 50018, Zaragoza, España . Mailing address for offprints: Plot No.: 3424/5090 (Sraddha Nivas), Jharana Sali, Badagada Brit colony, Bhubaneswar, Orissa, India–751018.

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G. P. KAPOOR

Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur-208016, India

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https://doi.org/10.1142/S0218348X07003381Cited by:14 (Source: Crossref)

Abstract

This paper generalizes the classical cubic spline with the construction of the cubic spline coalescence hidden variable fractal interpolation function (CHFIF) through its moments, i.e. its second derivative at the mesh points. The second derivative of a cubic spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of the generalized iterated function system. The convergence results and effects of hidden variables are discussed for cubic spline CHFIFs.

Keywords:

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