Application of convex cone analysis to hyperspectral and multispectral scenes

John H. Gruninger; Jamine Lee; Robert L. Sundberg

doi:10.1117/12.463103

13 March 2003 Application of convex cone analysis to hyperspectral and multispectral scenes

John H. Gruninger, Jamine Lee, Robert L. Sundberg

Proceedings Volume 4885, Image and Signal Processing for Remote Sensing VIII; (2003) https://doi.org/10.1117/12.463103
Event: International Symposium on Remote Sensing, 2002, Crete, Greece

Abstract

A new end-member analysis method based on convex cones has been developed. The method finds extreme points in a convex set. Unlike convex methods that rely on a simplex, the number of end-members is not restricted by the number of spectral channels. The algorithm simultaneously finds fractional abundance maps. The fractional abundances are the fractions of the total spectrally integrated radiance of a pixel that are contributed by the end-members. A physical model of the hyper-spectral or multi-spectral scene is obtained by combining subsets of the end-members into bundles of spectra for each scene material. The bundle spectra represent the spectral variability of the material in the scene induced by illumination, shadowing, weathering and other environmental effects. The method offers advantages in multi-spectral data sets where the limited number of channels impairs material un-mixing by standard techniques. The method can also be applied to compress hyper-spectral data. The fractional abundance matrices are sparse and offer an additional compression capability over standard matrix factorization techniques. A description of the method and applications to real and synthetic hyper-spectral and multi-spectral data sets will be presented.

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John H. Gruninger, Jamine Lee, and Robert L. Sundberg "Application of convex cone analysis to hyperspectral and multispectral scenes", Proc. SPIE 4885, Image and Signal Processing for Remote Sensing VIII, (13 March 2003); https://doi.org/10.1117/12.463103

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