Supervised Planetary Unmixing with Optimal Transport - Archive ouverte HAL Access content directly
Conference Papers Year : 2016

Supervised Planetary Unmixing with Optimal Transport


This paper is focused on spectral unmixing and presents an original technique based on Optimal Transport. Optimal Transport consists in estimating a plan that transports a spectrum onto another with minimal cost, enabling to compute an associated distance (Wasserstein distance) that can be used as an alternative metric to compare hyperspectral data. This is exploited for spectral unmixing where abundances in each pixel are estimated on the basis of their projections in a Wasserstein sense (Bregman projections) onto known end-members. In this work an over-complete dictionary is used to deal with internal variability between endmembers, while a regularization term, also based on Wasserstein distance, is used to promote prior proportion knowledge in the endmem-ber groups. Experiments are performed on real hyperspectral data of asteroid 4-Vesta.
Fichier principal
Vignette du fichier
whispers_2016_Sina_Nakhostin.pdf (1.24 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01377236 , version 1 (06-10-2016)


  • HAL Id : hal-01377236 , version 1


Sina Nakhostin, Nicolas Courty, Rémi Flamary, Thomas Corpetti. Supervised Planetary Unmixing with Optimal Transport. WHISPERS 8th workshop on Hyperspectral image and Signal Processing: Evolution in Remote Sensing, Aug 2016, Los Angeles, United States. ⟨hal-01377236⟩
469 View
408 Download


Gmail Facebook Twitter LinkedIn More