Joint segmentation and reconstruction of hyperspectral data with compressed measurements.

TitleJoint segmentation and reconstruction of hyperspectral data with compressed measurements.
Publication TypeJournal Article
Year of Publication2011
AuthorsQ Zhang, R Plemmons, D Kittle, D Brady, and S Prasad
JournalApplied Optics
Volume50
Issue22
Start Page4417
Pagination4417 - 4435
Date Published08/2011
Abstract

This work describes numerical methods for the joint reconstruction and segmentation of spectral images taken by compressive sensing coded aperture snapshot spectral imagers (CASSI). In a snapshot, a CASSI captures a two-dimensional (2D) array of measurements that is an encoded representation of both spectral information and 2D spatial information of a scene, resulting in significant savings in acquisition time and data storage. The reconstruction process decodes the 2D measurements to render a three-dimensional spatio-spectral estimate of the scene and is therefore an indispensable component of the spectral imager. In this study, we seek a particular form of the compressed sensing solution that assumes spectrally homogeneous segments in the two spatial dimensions, and greatly reduces the number of unknowns, often turning the underdetermined reconstruction problem into one that is overdetermined. Numerical tests are reported on both simulated and real data representing compressed measurements.

DOI10.1364/ao.50.004417
Short TitleApplied Optics