ArticlesNo Access

NONLINEAR FRACTAL INTERPOLATING FUNCTIONS OF ONE AND TWO VARIABLES

R. KOBES

Department of Physics, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9, Canada

Search for more papers by this author

and

A. J. PENNER

Department of Physics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada

Search for more papers by this author

https://doi.org/10.1142/S0218348X05002817Cited by:1 (Source: Crossref)

Abstract

We consider nonlinear generalizations of fractal interpolating functions applied to functions of one and two variables. The use of such interpolating functions in representing images by an iterated function system is illustrated, particularly as applied to the problem of resizing images, or portions thereof.

Keywords:

References

M. F. Barnsley , Fractals Everywhere ( Academic Press , San Diego, California , 1993 ) . Google Scholar
H. O. Peitgen , H. Jürgens and D. Saupe , Chaos and Fractals — New Frontiers of Science ( Springer Verlag , New York , 1992 ) . Crossref, Google Scholar
H. O. Peitgen and D. Saupe , The Science of Fractal Images ( Springer Verlag , New York , 1988 ) . Google Scholar
A. Jacquin, IEEE Trans. Image Processing (1992). Google Scholar
M. Barnsley , L. Hurd and L. Anson , Fractal Image Compression ( A. K. Peters , New York , 1993 ) . Google Scholar
Y. Fisher , Fractal Image Compression: Theory and Application ( Springer Verlag , New York , 1995 ) . Crossref, Google Scholar
P. R. Massopust , Fractal Functions, Fractal Surfaces and Wavelets ( Academic Press , San Diego, California , 1994 ) . Crossref, Google Scholar