Parameter estimation of stochastic model-based image segmentation technique

Tianhu Lei; Wilfred Sewchand

doi:10.1117/12.208752

12 May 1995 Parameter estimation of stochastic model-based image segmentation technique

Tianhu Lei, Wilfred Sewchand

Proceedings Volume 2434, Medical Imaging 1995: Image Processing; (1995) https://doi.org/10.1117/12.208752
Event: Medical Imaging 1995, 1995, San Diego, CA, United States

Abstract

Since both detection and classification in an unsupervised stochastic model-based segmentation technique require the results from estimation, model parameter estimation becomes a core part of this type of technique. Based on FNM model, ML likelihood equations and their solutions have been derived. After investigating the Bayesian probability in these solutions and comparing it with probability membership of EM algorithm, this paper proved that both CM and EM algorithms which are used in this segmentation technique do produce asymptotically unbiased ML estimates of FNM parameters, through the iterative process, when the stopping criteria are satisfied. The evolution of probability membership in the iterative process finally leads to the pixel labeling. The corresponding Cramer-Rao bounds of the variances of these estimates are also derived. The results by applying this performance analysis method to the simulated images with signal-to-noise (SNR) as parameter are obtained and reported in this paper. These results show that for the images with the moderate quality, the parameter estimates are quite accurate. When SNR >= 14.5 db, all estimates are within the one- standard deviation interval.

Citation Download Citation

Tianhu Lei and Wilfred Sewchand "Parameter estimation of stochastic model-based image segmentation technique", Proc. SPIE 2434, Medical Imaging 1995: Image Processing, (12 May 1995); https://doi.org/10.1117/12.208752

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