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Constrained univariate and bivariate rational fractal interpolation
K. M. Reddy, Arya Kumar Bedabrata Chand, Reddy K.M, Chand A.K.B.
Published in Taylor and Francis Inc.
2019
Volume: 20
   
Issue: 5
Pages: 404 - 422
Abstract
We study constrained natures of a new class of univariate and bivariate rational cubic fractal interpolation functions (RCFIFs). We derive the convergence results of the RCFIF towards an original function in (Formula presented.) In particular, when data lies (i) between two piecewise defined lines (ii) within a rectangle, we derive sufficient condition based on the restrictions of IFS parameters at fewer discretized values so that the corresponding RCFIF preserves the inherent property associated with constrained data. Using transfinite interpolation via blending functions, we extend constrained aspects to rational bivariate RCFIFs that lie above a piecewise plane and within a cuboid. © 2019, © 2019 Taylor & Francis Group, LLC.
About the journal
JournalData powered by TypesetInternational Journal of Computational Methods in Engineering Science and Mechanics
PublisherData powered by TypesetTaylor and Francis Inc.
ISSN15502287
Open AccessNo
Concepts (10)
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    Blending
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    Fractals
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    Interpolation
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    Splines
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    CONSTRAINED INTERPOLATION
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    Convergence
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    FRACTAL INTERPOLATION FUNCTIONS
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    FRACTAL INTERPOLATION SURFACE
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    ITERATED FUNCTION SYSTEM
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    Rational functions