Hyperspectral image de-noising method based on Fisher dictionary learning and low-rank representation
A hyperspectral image and low-rank representation technology, applied in the field of hyperspectral image denoising, can solve the problems of single spectral information or spatial information denoising, lower data reliability, and insufficient denoising effect, achieving excellent denoising performance, High use value, effect of improving classification accuracy
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[0112] This embodiment includes the following parts:
[0113] Step 1. Transform the data space:
[0114] In order to facilitate the comprehensive processing of data, it is necessary to transform the three-dimensional hyperspectral image data into a two-dimensional matrix of space-spectral joint.
[0115] For any hyperspectral image X∈R m×n×b , where m and n are the number of rows and columns of its spatial structure, respectively, and b is the number of bands. Record the value of each pixel of the hyperspectral image on all bands as a vector d h ∈R b (h=1,2,...,mn), then all pixels d h Put together to form a two-dimensional matrix D=[d 1 , d 2 ,...,d mn ]∈R b×mn .
[0116] Step 2. Learn the dictionary:
[0117] Obtain a new dictionary through the Fisher discriminant criterion, and satisfy the linear representation of the sub-dictionary corresponding to the class. The ability to represent samples of this class is strong and the ability to represent other classes is we...
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