The Regularized Maximum-Likelihood Solution For Boundary-Value Problems Of The Heat Fields Spectral Analysis

Yuri V. Shkvarko; Vladimir I. Ponomaryov

doi:10.1117/12.941487

10 September 1987 The Regularized Maximum-Likelihood Solution For Boundary-Value Problems Of The Heat Fields Spectral Analysis

Yuri V. Shkvarko, Vladimir I. Ponomaryov

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Proceedings Volume 0808, Inverse Problems in Optics; (1987) https://doi.org/10.1117/12.941487
Event: Fourth International Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, The Hague, Netherlands

Abstract

The estimation problem of the frequency-wavenumber spectral density function of the heat radiation field of the spatially-spread objects is suggested to be considered as a multi-dimensional spectral analysis boundary-value problem for an initial field in the stochastic measurement channel. Defining the regularization constraints, incorporating the boundary conditions, we formulate a generalized maximum-likelihood problem for spectral density function estimation and then apply standard optimization techniques to derive an optimal spectral analysis algorithm.

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Yuri V. Shkvarko and Vladimir I. Ponomaryov "The Regularized Maximum-Likelihood Solution For Boundary-Value Problems Of The Heat Fields Spectral Analysis", Proc. SPIE 0808, Inverse Problems in Optics, (10 September 1987); https://doi.org/10.1117/12.941487

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