Comparative analysis of discrete and continuous Boolean models

John C. Handley; Edward R. Dougherty

doi:10.1117/12.290278

14 October 1997 Comparative analysis of discrete and continuous Boolean models

Proceedings Volume 3167, Statistical and Stochastic Methods in Image Processing II; (1997) https://doi.org/10.1117/12.290278
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

The Boolean random set model is a tractable random set model used in image analysis, geostatistics, and queueing systems, among others. It can be formulated in the continuous and discrete settings, each of which offers certain advantages with regard to modeling and estimation. The continuous model enjoys more elegant theory but often results in intractable formulas. The discrete model, especially in the 1D directional case, provides flexible models, tractable estimators, and optimal filters.

Citation Download Citation

John C. Handley and Edward R. Dougherty "Comparative analysis of discrete and continuous Boolean models", Proc. SPIE 3167, Statistical and Stochastic Methods in Image Processing II, (14 October 1997); https://doi.org/10.1117/12.290278

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