DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

# Sparse approximation, coherence and use of derivatives in hyperspectral unmixing.

Bieniarz, Jakub and Müller, Rupert and Zhu, Xiaoxiang and Reinartz, Peter (2012) Sparse approximation, coherence and use of derivatives in hyperspectral unmixing. Istituto Nazionale di Geofisica e Vulcanologia. Third Annual Hyperspectral Imaging Conference, 14-15 May 2012, Rome, Italy.

 Preview
PDF
757kB

## Abstract

Recently, it has been shown that the spectral unmixing can be regarded as a sparse approximation problem. In our studies we employ predefined dictionaries containing the measured spectra of different materials in a hyperspectral image, where for each pixel the abundance vector can be estimated solving the $\ell_1$ optimization problem. This results in an automation of the unmixing procedure and enables using complex overcomplete dictionaries. However, the reflectance spectra of most materials are highly coherent and this could result in confusion in the mixture estimation. In this work we present a novel approach for spectral dictionary coherence reduction and discuss the feasibility of the methodologies in terms of mutual coherence and approximation error values using overcomplete dictionaries. We compare standard sparse unmixing procedures with our novel derivative method. The presented method was tested on both simulated hyperspectral image as well as on a AVIRIS data.

Item URL in elib:https://elib.dlr.de/75746/
Document Type:Conference or Workshop Item (Speech, Paper)
Title:Sparse approximation, coherence and use of derivatives in hyperspectral unmixing.
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bieniarz, Jakubjakub.bieniarz (at) dlr.deUNSPECIFIED
Müller, Rupertrupert.mueller (at) dlr.deUNSPECIFIED
Zhu, Xiaoxiangxiao.zhu (at) dlr.deUNSPECIFIED
Reinartz, PeterPeter.Reinartz (at) dlr.deUNSPECIFIED
Date:15 May 2012
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 1-4
Publisher:Istituto Nazionale di Geofisica e Vulcanologia
Status:Published
Keywords:Hyperspectral image, unmixing, sparse approximation, basis pursuit, spectral derivative, coherence
Event Title:Third Annual Hyperspectral Imaging Conference
Event Location:Rome, Italy
Event Type:international Conference
Event Dates:14-15 May 2012
Organizer:The Remote Sensing Laboratory at National Institute for Geophysics and Volcanology
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben hochauflösende Fernerkundungsverfahren
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Photogrammetry and Image Analysis
Deposited By: Bieniarz, Jakub
Deposited On:03 Sep 2012 08:38