Title :
An upper bound on the area occupied by a fractal
Author :
Edalat, Abbas ; Sharp, David W.N. ; While, R.Lyndon
Author_Institution :
Dept. of Comput., London Univ., UK
Abstract :
Fractal images defined by an iterated function system (IFS) are specified by a finite number of contractive affine transformations. In order to plot the image specified by the transformations on the screen of a digital computer, it is necessary to determine a bounding area for the image. This paper derives a formula that expresses the dimensions of this bounding area in terms of the transformations
Keywords :
fractals; image processing; iterative methods; transforms; bounding area; contractive affine transformations; digital computer; dimensions; fractal images; iterated function system; Computer errors; Computer science; Educational institutions; Equations; Fractals; Upper bound;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479987
