Stability of simulation of highly uneven curves and surfaces using fractal interpolation

G. P. Kapoor
Professor, Indian Institute of Technology Kanpur

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     Last modified: April 25, 2006

Abstract
The present paper aims at establishing stability of our new construction methods of Coalescence Fractal Interpolation Functions and Coalescence Fractal Interpolation Surfaces, that may be specially suited to image compression, zooming problems and Fractal Terrain Modeling. This provides robustness to our method for simulation of highly uneven curves or surfaces. Our approach of construction settles several open questions of Barnsley and Harrington [J. Approx. Theory, 1989].