Multiscale reconstruction for computational spectral imaging

TitleMultiscale reconstruction for computational spectral imaging
Publication TypeJournal Article
Year of Publication2007
AuthorsRM Willett, ME Gehm, and DJ Brady
JournalSmart Structures and Materials 2005: Active Materials: Behavior and Mechanics
Volume6498
Date Published08/2007
Abstract

In this work we develop a spectral imaging system and associated reconstruction methods that have been designed to exploit the theory of compressive sensing. Recent work in this emerging field indicates that when the signal of interest is very sparse (i.e. zero-valued at most locations) or highly compressible in some basis, relatively few incoherent observations are necessary to reconstruct the most significant non-zero signal components. Conventionally, spectral imaging systems measure complete data cubes and are subject to performance limiting tradeoffs between spectral and spatial resolution. We achieve single-shot full 3D data cube estimates by using compressed sensing reconstruction methods to process observations collected using an innovative, real-time, dual-disperser spectral imager. The physical system contains a transmissive coding element located between a pair of matched dispersers, so that each pixel measurement is the coded projection of the spectrum in the corresponding spatial location in the spectral data cube. Using a novel multiscale representation of the spectral image data cube, we are able to accurately reconstruct 256 × 256 × 15 spectral image cubes using just 256 × 256 measurements. © 2007 SPIE-IS&T.

DOI10.1117/12.715711
Short TitleSmart Structures and Materials 2005: Active Materials: Behavior and Mechanics