Ordering on the probability simplex of endmembers for hyperspectral morphological image processing

N/ACitations
Citations of this article
1Readers
Mendeley users who have this article in their library.
Get full text

Abstract

A hyperspectral image can be represented as a set of materials called endmembers, where each pixel corresponds to a mixture of several of these materials. More precisely pixels are described by the quantity of each material, this quantity is often called abundance and is positive and of sum equal to one. This leads to the characterization of a hyperspectral image as a set of points in a probability simplex. The geometry of the simplex has been particularly studied in the theory of quantum information, giving rise to different notions of distances and interesting preorders. In this paper, we present total orders based on theory of the ordering on the simplex. Thanks to this theory, we can give a physical interpretation of our orders.

Cite

CITATION STYLE

APA

Franchi, G., & Angulo, J. (2015). Ordering on the probability simplex of endmembers for hyperspectral morphological image processing. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 9082, 410–421. https://doi.org/10.1007/978-3-319-18720-4_35

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free