Sparse hyperspectral unmixing combined L1/2 norm and reweighted total variation regularization

Yan Li

doi:10.1117/12.2282140

21 July 2017 Sparse hyperspectral unmixing combined L1/2 norm and reweighted total variation regularization

Yan Li

Proceedings Volume 10420, Ninth International Conference on Digital Image Processing (ICDIP 2017); 1042046 (2017) https://doi.org/10.1117/12.2282140
Event: Ninth International Conference on Digital Image Processing (ICDIP 2017), 2017, Hong Kong, China

Abstract

Sparse regression aims at estimating the fractional abundances of pure endmembers based on the assumption that each mixed pixel in the hyperspectral image can be expressed in the form of linear combinations of a number of known and pure endmembers. And total variation spatial regularization for sparse unmixing has been proposed with incorporating spatial information. In this paper, considering the desirable performance of reweighted minimization and owing to the L_1/2 norm is an alternative regularizer which is much easier to solved than L₀ regularizer and has better sparsity and robustness than L₁ regularizer, a sparse regression combined L_1/2 norm and reweighted total variation regularization has been utilized. Then the unconvex optimization problem is simply solved by the variable splitting and augmented Lagrangian algorithm. Our experimental results with simulated data sets and real hyperspectral data sets demonstrate that the proposed method is an effective and accurate spectral unmixing algorithm for hyperspectral regression.

Citation Download Citation

Yan Li "Sparse hyperspectral unmixing combined L1/2 norm and reweighted total variation regularization", Proc. SPIE 10420, Ninth International Conference on Digital Image Processing (ICDIP 2017), 1042046 (21 July 2017); https://doi.org/10.1117/12.2282140

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