Granulometric estimation of shape parameters

Sinan Batman; Edward R. Dougherty

doi:10.1117/12.216346

11 August 1995 Granulometric estimation of shape parameters

Sinan Batman, Edward R. Dougherty

Proceedings Volume 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing; (1995) https://doi.org/10.1117/12.216346
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Assuming a random shape to be governed by a random parameter vector, a basic problem is to estimate the value of the parameter vector given some set of random features based on the random shape. The present paper considers this Bayesian estimation problem as one involving conditional densities of the random parameters conditioned by granulometric moments generated by linear granulometries. The conditional densities are interpreted as generalized functions and from these the optimal conditional-expectation estimates of the parameters given the granulometric moments are found.

Citation Download Citation

Sinan Batman and Edward R. Dougherty "Granulometric estimation of shape parameters", Proc. SPIE 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, (11 August 1995); https://doi.org/10.1117/12.216346

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