Sparse and low-rank matrix approximation-based hyperspectral image restoration method

Abstract

The invention relates to a sparse and low-rank matrix approximation-based hyperspectral image restoration method and belongs to the image processing field. The method includes the following steps that: a hyperspectral data sequence affected by mixed noises is acquired, or simulated mixed noises are artificially added into a clear hyperspectral image sequence, so that hyperspectral data to be processed can be obtained; the multi-band hyperspectral image data are segmented into a plurality of small data blocks, and each three-dimensional data block is pieced into one two-dimensional data matrix; a weighted Schatten p-normal type low-rank matrix approximation model is constructed for each two-dimensional data matrix; an extended Lagrange multiplier method is adopted to solve the model to obtain mixed noise-removed two-dimensional data matrixes; each two-dimensional data matrix is restored into three-dimensional hyperspectral data, so that a mixed noise-removed multi-band hyperspectral image can be obtained; and the above steps are repeated by using an iteration method to obtain a better restoration effect. The method can be effectively applied to fields such as remote sensing, geography, agriculture and military fields.

Description

technical field

[0001] The invention relates to image processing, in particular to a hyperspectral image restoration method based on sparse and low-rank matrix approximation. Background technique

[0002] Hyperspectral imaging technology is a kind of earth observation technology developed since the 20th century, which has achieved high practical value in military, geological survey, agricultural detection and other aspects. Hyperspectral image data is a three-dimensional image data. In addition to the two-dimensional image itself, there is also a band dimension. Its main feature is the fusion of traditional image space and spectral information. Hyperspectral image data contains rich spectral information of ground features, which can realize target recognition of ground features.

[0003] Although with the development of computer technology and spectral imaging technology, the imaging quality of hyperspectral image data has been greatly improved. But inevitably, hyperspectr...

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