THEME SECTION: Nonlinear Dynamics and Complexity: Theory, Methods and Applications — PapersNo Access

BIVARIATE FRACTAL INTERPOLATION SURFACES: THEORY AND APPLICATIONS

VASSILEIOS DRAKOPOULOS

Department of Informatics & Telecommunications, University of Athens, Panepistimioupolis, Athens 15784, Greece

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POLYCHRONIS MANOUSOPOULOS

Department of Informatics & Telecommunications, University of Athens, Panepistimioupolis, Athens 15784, Greece

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https://doi.org/10.1142/S0218127412502203Cited by:1 (Source: Crossref)

Abstract

We consider the theory and applications of bivariate fractal interpolation surfaces constructed as attractors of iterated function systems. Specifically, such kind of surfaces constructed on rectangular domains have been used to demonstrate their efficiency in computer graphics and image processing. The methodology followed is based on the labeling used for the vertices of the rectangular domain rather than on the constraints satisfied by the contractivity factors or the boundary data.

Keywords:

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