منابع مشابه
Smooth Fractal Interpolation
Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the construction of smooth fractal functions, with the help of Hermite osculatory polynomials. As a consequence of the process, we generalize any s...
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Interpolation of two-dimensional shapes described by iterated function systems is explored. Iterated function systems define shapes using self-transformations, and interpolation of these shapes requires interpolation of these transformations. Polar decomposition is used to avoid singular intermediate transformations and to better simulate articulated motion. Unlike some other representations, s...
متن کاملSuper Fractal Interpolation Functions
Abstract: In the present work, the notion of Super Fractal Interpolation Function (SFIF) is introduced for finer simulation of the objects of nature or outcomes of scientific experiments that reveal one or more structures embedded in to another. In the construction of SFIF, an IFS is chosen from a pool of several IFSs at each level of iteration leading to implementation of the desired randomnes...
متن کاملClosed Fractal Interpolation Surfaces
Based on the construction of bivariate fractal interpolation surfaces, we introduce closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed surface arises. We give conditions for this construction to be valid and state some useful relations about the Hausdorff and the Box counting dimen...
متن کاملSpectrum of Fractal Interpolation Functions
where (x, y) ∈ S. The effects of an affine transform on a set are depicted in fig. 1. The union of N affine transformations is called the Hutchinson operator: W = ⋃N n=1 wn. For a specified metric the distance h(A, B) between two sets A, B can be defined. Under certain conditions [2] the Hutchinson operator is contractive, h(W (A),W (B)) ≤ sh(A, B), s < 1. Successive iterations with Hutchinson ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2006
ISSN: 1025-5834,1029-242X
DOI: 10.1155/jia/2006/78734