2015
DOI: 10.1007/978-81-322-2485-3_48
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A Novel Approach to Surface Interpolation: Marriage of Coons Technique and Univariate Fractal Functions

Abstract: The current article is intended to demonstrate that the theory of fractal functions when applied in conjunction with methods in the classical numerical analysis can supply new solution techniques that supplement and subsume the existing ones. To this end, in the first part of the paper, we review a C 1 -continuous rational cubic fractal interpolation function (FIF) introduced recently [Viswanathan and Chand, Elec. Trans. Numer. Anal. 41 (2014), pp. 420-442]. We carry out the convergence analysis of this univar… Show more

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