Estimating the dimension of a fractal point process

Steven B. Lowen; Malvin C. Teich

doi:10.1117/12.162701

5 November 1993 Estimating the dimension of a fractal point process

Steven B. Lowen, Malvin C. Teich

Proceedings Volume 2036, Chaos in Biology and Medicine; (1993) https://doi.org/10.1117/12.162701
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

We discuss issues involved in estimating the dimension of a fractal point process. We first define the term fractal point process and provide some examples of experimental phenomena for which they serve as suitable models. We then develop mathematical formulations of fractal point processes, and present two methods for dimension estimation and an analysis of their performance. Finally, we compare this analysis with results from both simulated and natural examples of fractal point processes.

Citation Download Citation

Steven B. Lowen and Malvin C. Teich "Estimating the dimension of a fractal point process", Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); https://doi.org/10.1117/12.162701

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