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HIDDEN VARIABLE VECTOR VALUED FRACTAL INTERPOLATION FUNCTIONS

Department of Informatics and Telecommunications, Telecommunications and Signal Processing, University of Athens, Panepistimioupolis 157 84, Athens, Hellas, Greece

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and

L. DALLA

Department of Mathematics, Mathematical Analysis, University of Athens, Panepistimioupolis 157 84, Athens, Hellas, Greece

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https://doi.org/10.1142/S0218348X05002854Cited by:42 (Source: Crossref)

Abstract

We present a method of construction of vector valued bivariate fractal interpolation functions on random grids in ℝ². Examples and applications are also included.

Keywords:

References

M. F. Barnsley , Fractals Everywhere , 2nd edn. ( Academic Press Professional , USA , 1993 ) . Google Scholar
P. R. Massopust , Fractal Functions, Fractal Surfaces and Wavelets ( Academic Press , USA , 1994 ) . Crossref, Google Scholar
J. S. Geronimo and D. Hardin, J. Math. Anal. Appl. 176, 561 (1993). Crossref, Web of Science, Google Scholar
N. Zhao, Vis. Comput. 12, 132 (1996). Crossref, Web of Science, Google Scholar
H. Xie and H. Sun, Fractals 5(4), 625 (1997). Link, Web of Science, Google Scholar
L. Dalla, Fractals 10(1), 53 (2002). Link, Web of Science, Google Scholar
P. Bouboulis, I. Dalla and V. Drakopoulos, On the box counting dimension of the recurrent bivariate fractal interpolation surfaces (submitted) . Google Scholar
A. K. B. Chand and G. P. Kapoor, Fractals 11(3), 277 (2003). Link, Web of Science, Google Scholar
A. S. Householder , The Theory of Matrices in Numerical Analysis ( Dover Publications , New York , 1975 ) . Google Scholar