Robust minimum volume simplex analysis for hyperspectral unmixing. Agathos, A., Li, J., Bioucas-Dias, J. M., & Plaza, A. In *2014 22nd European Signal Processing Conference (EUSIPCO)*, pages 1582-1586, Sep., 2014.

Paper abstract bibtex

Paper abstract bibtex

Most blind hyperspectral unmixing methods exploit convex geometry properties of hyperspectral data. The minimum volume simplex analysis (MVSA) is one of such methods which, as many others, estimates the minimum volume (MV) simplex where the measured vectors live. MVSA was conceived to circumvent the matrix factorization step often implemented by MV based algorithms and also to cope with outliers, which compromise the results produced by MV algorithms. Inspired by the recently proposed robust minimum volume estimation (RMVES) algorithm, we herein introduce the robust MVSA (RMVSA), which is a version of MVSA robust to noise. As in RMVES, the robustness is achieved by employing chance constraints, which control the volume of the resulting simplex. RMVSA differs, however, substantially from RMVES in the way optimization is carried out. The effectiveness of RVMSA is illustrated by comparing its performance in simulated data with the state-of-the-art.

@InProceedings{6952576, author = {A. Agathos and J. Li and J. M. Bioucas-Dias and A. Plaza}, booktitle = {2014 22nd European Signal Processing Conference (EUSIPCO)}, title = {Robust minimum volume simplex analysis for hyperspectral unmixing}, year = {2014}, pages = {1582-1586}, abstract = {Most blind hyperspectral unmixing methods exploit convex geometry properties of hyperspectral data. The minimum volume simplex analysis (MVSA) is one of such methods which, as many others, estimates the minimum volume (MV) simplex where the measured vectors live. MVSA was conceived to circumvent the matrix factorization step often implemented by MV based algorithms and also to cope with outliers, which compromise the results produced by MV algorithms. Inspired by the recently proposed robust minimum volume estimation (RMVES) algorithm, we herein introduce the robust MVSA (RMVSA), which is a version of MVSA robust to noise. As in RMVES, the robustness is achieved by employing chance constraints, which control the volume of the resulting simplex. RMVSA differs, however, substantially from RMVES in the way optimization is carried out. The effectiveness of RVMSA is illustrated by comparing its performance in simulated data with the state-of-the-art.}, keywords = {convex programming;geophysical image processing;hyperspectral imaging;robust minimum volume simplex analysis;blind hyperspectral unmixing methods;convex geometry properties;hyperspectral data;MVSA;matrix factorization;robust minimum volume estimation;RMVES algorithm;Hyperspectral imaging;Robustness;Vectors;Signal processing algorithms;Noise;Hyperspectral imaging;spectral unmixing;endmember identification;minimum volume simplex analysis (MVSA);chance constraints}, issn = {2076-1465}, month = {Sep.}, url = {https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569925327.pdf}, }

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