Title
Hyperspectral unmixing with projection onto convex sets using distance geometry Hyperspectral unmixing with projection onto convex sets using distance geometry
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
conferenceObject
Publication
New york :Ieee ,
Subject
Economics
Physics
Source (journal)
2015 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM (IGARSS)
Source (book)
IEEE International Geoscience and Remote Sensing Symposium (IGARSS), JUL 26-31, 2015, Milan, ITALY
Volume/pages
(2015) , p. 5059-5062
ISSN
2153-6996
ISBN
978-1-4799-7929-5
ISI
000371696705032
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper, a new method is presented to solve the spectral unmixing problem. The method is based on the projection on convex sets principle, in which a simplex is considered as an intersection of a plane and half-spaces, and the abundances are obtained by alternatively projecting data onto the half spaces using the well-known Dykstra algorithm. In this paper, every step of such a recently developed alternating projection unmixing algorithm is rephrased using distance geometry, i.e. using only the spectral distances between the data points and the endmembers. This distance geometric approach allows to use any distance metric other than the Euclidean one. The experimental validation shows that the method provides exact results for the fully constrained unmixing problem. Moreover, we demonstrate the usefulness of the method for nonlinear unmixing, using geodesic distances on the data manifold.
E-info
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http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000371696705032&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
https://repository.uantwerpen.be/docman/iruaauth/66973f/133179.pdf
Handle