Applying Catastrophe Theory to Image Segmentation

This paper describes a study into the application of catastrophe theory to image segmentation. The theory is found to be applicable to this problem, however, extensions are required for its application to yield comparable results to the state of the art. Catastrophe theory provides several models that describe change in dynamic systems. Since image segmentation can be viewed as the segmentation of a signal generated by a dynamic process, it was hypothesized that catastrophe theory should be applicable to this problem in general. The results presented verify this hypothesis. Keywords— Catastrophe Theory; Image Segmentation, Canny, Sobel

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