Unmixing of Hyperspectral Images using Bayesian Non-negative Matrix Factorization with Volume Prior

Hyperspectral imaging can be used in assessing the quality of foods by decomposing the image into constituents such as protein, starch, and water. Observed data can be considered a mixture of underlying characteristic spectra (endmembers), and estimating the constituents and their abundances requires efficient algorithms for spectral unmixing. We present a Bayesian spectral unmixing algorithm employing a volume constraint and propose an inference procedure based on Gibbs sampling. We evaluate the method on synthetic and real hyperspectral data of wheat kernels. Results show that our method perform as good or better than existing volume constrained methods. Further, our method gives credible intervals Morten Arngren Technical University of Denmark, DTU Informatics, Bldg. 321, Richard Petersens Plads, DK-2800 Lyngby and FOSS Analytical A/S, Slangerupgade 69, DK-3400 Hillerød E-mail: [email protected], [email protected] Mikkel N. Schmidt Technical University of Denmark, DTU Informatics, Bldg. 321, Richard Petersens Plads, DK-2800 Lyngby E-mail: [email protected] Jan Larsen Technical University of Denmark, DTU Informatics, Bldg. 321, Richard Petersens Plads, DK-2800 Lyngby E-mail: [email protected] for the endmembers and abundances, which allows us to asses the confidence of the results.