Bicubic partially blended rational quartic surface
S. K. Katiyar
TL;DR
This paper explores the use of rational quartic fractal interpolation functions for constrained univariate and bivariate interpolation problems, extending previous work on shape-preserving rational fractal functions.
Contribution
It introduces new methods for constrained interpolation using rational quartic fractal functions, expanding the application scope of fractal interpolation techniques.
Findings
Developed new rational quartic fractal interpolation methods
Extended previous shape-preserving fractal function work
Demonstrated effectiveness in constrained interpolation problems
Abstract
This paper investigates some univariate and bivariate constrained interpolation problems using rational quartic fractal interpolation functions, which has been submitted long back in a reputed journal and revised as per the journal requirement. This research is extension of the work [S. K. Katiyar and A. K. B. Chand, Shape Preserving Rational Quartic Fractal Functions, Fractal, in Press].
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Numerical Analysis Techniques · Computer Graphics and Visualization Techniques