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Perturbation error analysis for fractal interpolation functions and their moments

✍ Scribed by Hong-Yong Wang; Xiu-Juan Li

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 204 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.03.026

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✦ Synopsis

A perturbed iterated function system (IFS) is first constructed on the basis of an IFS determined in this work. The relations between the fractal interpolation function (FIF) generated with the IFS determined and the FIF generated with the corresponding perturbed IFS are investigated. The expression for the perturbation error for the two FIFs is presented by means of a derived refinement equation. In addition, the error between the moments of the two FIFs is also discussed, and a concrete error estimate is obtained.

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Error analysis for bivariate fractal int

Error analysis for bivariate fractal interpolation functions generated by 3-D perturbed iterated function systems

✍ Hong-Yong Wang; Shou-Zhi Yang; Xiu-Juan Li 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 816 KB

analysis a b s t r a c t Based on a determined 3-D iterated function system (IFS), we introduce a perturbed IFS in R 3 . The attractor of the perturbed IFS is the graph of a bivariate fractal interpolation function (FIF) that interpolates arbitrarily given data on rectangular grids of R 2 . We consi