Fast algorithm for determination of contaminated area in Bohai Bay based on remote sensing images

Abstract

The invention discloses a fast algorithm for judging the contaminated area of Bohai Bay based on remote sensing images: based on a Bayesian model, an Ising model and a signal model, the Bayesian-Isin-Signal (BIS) hybrid model is constructed; the variational Bayesian method is used to estimate the background low rank matrix L: to estimate U and V, to estimate the super parameter alpha, and to estimate the noise precision beta, and estimate foreground support matrix S. The invention aims at the judgment problem of Bohai Bay contaminated area of remote sensing image, restricts the form of matrixdecomposition by low rank condition and introduces continuous prior as sparse condition constraint to achieve the purpose of simultaneously estimating low rank matrix of background and foreground support matrix. In order to guarantee the existence of low rank solutions in the low rank decomposition process, an independent prior distribution with the same sparse profile is introduced for variablesand parameters, and a posteriori inference is made by using variational Bayesian method. In addition, considering the spatial distribution characteristics of singular value space, Markov random fieldsare introduced to estimate the foreground support matrix.

Description

technical field [0001] The invention relates to data analysis technology and signal processing technology, more specifically, to a fast algorithm for judging Bohai Bay polluted areas based on remote sensing images. Background technique [0002] Principal Component Analysis (PCA), as a classic data analysis method, is widely used in science and engineering fields. In recent years, combined with the rise of low-rank matrix analysis, a new technology in the field of signal processing, the robust principal component analysis (RPCA) problem has been raised to a new level. It mainly solves the problem of decomposing the observation matrix into a low-rank matrix and a sparse matrix, which is expressed in mathematical form as a convex optimization problem. [0003] The RPCA problem has been a long-standing research hotspot in the field of computer vision, and many efficient algorithms and corresponding software have been successfully applied to practice. However, with the developm...

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Problems solved by technology

[0009] The purpose of the present invention is in order to overcome the deficiencies in the prior art, and provides a kind of fast algorithm based on the judgment of Bohai Bay pollution area of ​​remote sensing image, the present invention is aimed at the judgment problem of Bohai Bay pollution area of ​​remote sensing image, to the form of matrix decomposition The purpose of simultaneously estimating the background low-rank matrix and the foreground support matrix is ​​achieved by adding low-rank conditional constraints and introducing continuous priors as sparse conditional constraints.

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