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Multilayer non-negative matrix factorization hyperspectral image unmixing method based on spectrum and space total variation minimum limitation

A non-negative matrix decomposition, hyperspectral image technology, applied in image enhancement, image analysis, image data processing and other directions, can solve the problem of inability to adapt to highly mixed hyperspectral images, and achieve the effect of improving unmixing accuracy

Active Publication Date: 2019-12-13
BEIJING UNIV OF TECH
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  • Application Information

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Problems solved by technology

The traditional non-negative matrix factorization algorithm has only one layer of structure and often cannot adapt to highly mixed hyperspectral images. In recent years, multi-layer non-negative matrix factorization has solved this problem very well.

Method used

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  • Multilayer non-negative matrix factorization hyperspectral image unmixing method based on spectrum and space total variation minimum limitation
  • Multilayer non-negative matrix factorization hyperspectral image unmixing method based on spectrum and space total variation minimum limitation
  • Multilayer non-negative matrix factorization hyperspectral image unmixing method based on spectrum and space total variation minimum limitation

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Embodiment Construction

[0023] Step 1. Set the hyperspectral image matrix as Y, the endmember spectral matrix as M, the abundance matrix as R, and the random noise matrix as E, then the linear mixed model:

[0024] Y=MR+E (1)

[0025] Wherein, Y is a matrix of H×N dimensions, M is a matrix of dimensions H×P, R is a matrix of dimensions P×N, and E is a matrix of dimensions H×N.

[0026] Step 2. After establishing the linear mixture model, apply multi-layer non-negative matrix factorization (MLNMF) to solve the unmixing problem, and its objective function is as follows:

[0027]

[0028] Among them, Y l , M l and R l For each layer of the matrix Y, M, R, their relationship is as follows:

[0029]

[0030] In addition, due to the sparsity of hyperspectral images, we also add L1 / 2 sparsity to its objective function in MLNMF, and its objective function is:

[0031]

[0032] in

[0033]

[0034] Step 3. According to the characteristics of the hyperspectral image, the total variation minim...

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Abstract

The invention discloses a multilayer non-negative matrix factorization hyperspectral image unmixing method based on spectrum and space total variation minimum limitation. The method comprises steps ofsetting a hyperspectral image matrix Y, an end member spectral matrix M, an abundance matrix R and random noise E, and establishing a linear spectral hybrid model to apply multilayer non-negative matrix decomposition to the linear hybrid model; designing a spectral domain and a spatial domain total variation function; introducing the minimum constraint of the total variation of the spectral domain and the spatial domain into MLNMF, and establishing an SSTV-MLNMF target function; optimizing the obtained target function; and selecting experimental parameters to obtain a final unmixing result. According to the method, the characteristic of minimum total variation is applied to a spectral domain and a spatial domain, the effectiveness of the algorithm is verified by simulating hyperspectral image and real hyperspectral image data experiments, and the unmixing precision of the method is higher than that of other methods.

Description

technical field [0001] The invention relates to the technical field of image information processing, and relates to a multi-layer non-negative matrix decomposition hyperspectral image unmixing method with the minimum limit of spectral and spatial total variation. Background technique [0002] Due to the rich band information, hyperspectral images are widely used in satellite remote sensing, crop observation and mineral exploration. However, the spatial resolution of hyperspectral imaging equipment is limited, and the observation distance from the ground is long, so there are mixed pixels in the hyperspectral image, that is, a pixel often contains mixed spectra of multiple types of ground objects. Hyperspectral image unmixing has become an important technical means to distinguish the spectrum (end member) of the object type contained in the mixed pixel and calculate the proportion (abundance) of the object type. Among many unmixing methods, non-negative matrix factorization ...

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Application Information

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IPC IPC(8): G06T5/00
CPCG06T2207/10036G06T5/70
Inventor 同磊禹晶肖创柏
Owner BEIJING UNIV OF TECH