Spectral unmixing algorithm for distributed endmembers with applications to biomedical imaging

Sabbir A. Rahman

doi:10.1117/12.346735

21 April 1999 Spectral unmixing algorithm for distributed endmembers with applications to biomedical imaging

Sabbir A. Rahman

Proceedings Volume 3603, Systems and Technologies for Clinical Diagnostics and Drug Discovery II; (1999) https://doi.org/10.1117/12.346735
Event: BiOS '99 International Biomedical Optics Symposium, 1999, San Jose, CA, United States

Abstract

Spectral unmixing algorithms tend to make the simplifying assumptions that each type of material in a spectral library may be represented by a single reference spectrum and that the mixing process is linear. While these assumptions are convenient in that they allow techniques of linear algebra to be used, they lack realism as each material type in a spectral image will in general emit a distribution of spectra while the mixing itself need not be linear. We describe a 'common sense' spectral unmixing algorithm for the general case where endmembers are described by arbitrary D-dimensional probability distribution and the mixing can be non-linear. As an application we outline an unsupervised procedure for deriving the fractional material content of every pixel in an image and identifying anomalies given no a priori knowledge. Accurate endmember distribution are obtained by first masking out impure pixels using locally normalized Sobel and Laplacian filters and then performing single-link hierarchical clustering on the pure pixels which remain. The most probable endmember decomposition for a given target spectrum is found by selecting an appropriate set of endmembers based on the target's immediate neighborhood, and performing a constrained maximum likelihood search over the space of fractional abundances. We also explain how the procedure may be applied to subpixel and anomaly detection. To illustrate our ideas the techniques described are applied to biomedical images throughout.

Citation Download Citation

Sabbir A. Rahman "Spectral unmixing algorithm for distributed endmembers with applications to biomedical imaging", Proc. SPIE 3603, Systems and Technologies for Clinical Diagnostics and Drug Discovery II, (21 April 1999); https://doi.org/10.1117/12.346735

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Biomedical optics

Edge detection

Distance measurement

Image filtering

Image analysis

Statistical analysis

Convolution

Show All Keywords

Keywords/Phrases

Search In:

Publication Years