Relocation, scaling, and quantization effects on fractal images

Abstract

We investigate some practical problems and propose their solutions for the display of fractal images. The original sizes and coordi- nates of fractal images are usually different, and they can be measured only from the decoded results. This is a drawback, since the decoded fractal image may not be shown with adequate size and may not locate in a desired position. In this paper, we propose a hierarchical fixed-point- seeking method that can directly determine the original size and the coordinates of a fractal image from its iterated function system (IFS) code. With a modification of the translation parameters in the IFS code, we can resize and relocate the decoded image. On the other hand, we discuss the quantization effects due to the finite word length in the hard- ware implementation. Finally, a method for determining the iteration number in the random iteration algorithm is also proposed. In computer simulation, we demonstrate some examples to verify the proposed solu- tions. © 2001 Society of Photo-Optical Instrumentation Engineers.