Estimating abundance fractions of materials in hyperspectral images by fitting a post-nonlinear mixing model

Jie Chen, Cedric Richard, Paul Honeine

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

12 Scopus citations

Abstract

Within the area of hyperspectral data processing, nonlinear unmixing techniques have emerged as promising alternatives for overcoming the limitations of linear methods. In this paper, we consider the class of post-nonlinear mixing models of the partially linear form. More precisely, these composite models consist of a linear mixing part and a nonlinear fluctuation term defined in a reproducing kernel Hilbert space, both terms being parameterized by the endmember spectral signatures and their respective abundances. These models consider that the reproducing kernel may also depend advantageously on the fractional abundances. An iterative algorithm is then derived to jointly estimate the fractional abundances and to infer the nonlinear functional term.

Original languageEnglish
Title of host publication2013 5th Workshop on Hyperspectral Image and Signal Processing
Subtitle of host publicationEvolution in Remote Sensing, WHISPERS 2013
PublisherIEEE Computer Society
ISBN (Electronic)9781509011193
DOIs
StatePublished - 28 Jun 2013
Externally publishedYes
Event5th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, WHISPERS 2013 - Gainesville, United States
Duration: 26 Jun 201328 Jun 2013

Publication series

NameWorkshop on Hyperspectral Image and Signal Processing, Evolution in Remote Sensing
Volume2013-June
ISSN (Print)2158-6276

Conference

Conference5th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, WHISPERS 2013
Country/TerritoryUnited States
CityGainesville
Period26/06/1328/06/13

Keywords

  • Hyperspectral data processing
  • Kernel methods
  • Nonlinear unmixing
  • Post-nonlinear mixing model

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