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Canonical polyadic decomposition of hyperspectral patch tensors

Abstract : Spectral unmixing (SU) is one of the most important and studied topics in hyperspectral image analysis. By means of spectral unmixing it is possible to decompose a hyperspectral image in its spectral components, the so-called endmembers, and their respective fractional spatial distributions, so-called abundance maps. The Canonical Polyadic (CP) tensor decomposition has proved to be a powerful tool to decompose a tensor data onto a few rank-one terms in a multilinear fashion. Here, we establish the connection between the CP decomposition and the SU problem when the tensor data is built by stacking small patches of the hyperspectral image. It turns out that the CP decomposition of this hyperspectral patch-tensor is equivalent to solving a blind regularized Extended Linear Mixing Model (ELMM).
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https://hal.archives-ouvertes.fr/hal-01382362
Contributor : Miguel Angel Veganzones <>
Submitted on : Monday, October 17, 2016 - 12:11:01 AM
Last modification on : Thursday, April 22, 2021 - 3:33:17 AM

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Miguel Angel Veganzones, Jérémy Cohen, Rodriguo Cabral Farias, Konstantin Usevich, Lucas Drumetz, et al.. Canonical polyadic decomposition of hyperspectral patch tensors. EUSIPCO 2016 - 24th European Signal Processing Conference, Aug 2016, Budapest, Hungary. pp.2176-2180, ⟨10.1109/EUSIPCO.2016.7760634⟩. ⟨hal-01382362⟩

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