Application Of Iterated Function Systems And Skeletonization To Synthesis Of Fractal Images

Ran Libeskind-Hadas; Petros Maragos

doi:10.1117/12.976516

13 October 1987 Application Of Iterated Function Systems And Skeletonization To Synthesis Of Fractal Images

Ran Libeskind-Hadas, Petros Maragos

Proceedings Volume 0845, Visual Communications and Image Processing II; (1987) https://doi.org/10.1117/12.976516
Event: Cambridge Symposium on Optics in Medicine and Visual Image Processing, 1987, San Diego, CA, United States

Abstract

ABSTRACT. In this paper we introduce some new techniques for modeling fractal images using concepts from the theory of iterated function systems and morphological skeletons. In the theory of iterated function systems, a fractal image can be modeled arbitrarily closely as the attractor of a finite set of affine maps. We use the morphological skeleton to provide us with sufficient information about the parameters of these affine maps. This technique has applications for fractal synthesis, computer graphics, and coding. Images that exhibit self-similarity, such as leaves, trees, mountains, and clouds, can be easily modeled using these techniques. Slight perturbations in the parameters of the model create variations in the image that can be used in animation. Finally, the small number of parameters in the model allows for very efficient image compression.

Citation Download Citation

Ran Libeskind-Hadas and Petros Maragos "Application Of Iterated Function Systems And Skeletonization To Synthesis Of Fractal Images", Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); https://doi.org/10.1117/12.976516

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