Experimental and Numerical Investigations of Novel Architectures Applied to Compressive Imaging Systems

Date
2012-09-05
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract

A recent breakthrough in information theory known as compressive sensing is one component of an ongoing revolution in data acquisition and processing that guides one to acquire less data yet still recover the same amount of information as traditional techniques, meaning less resources such as time, detector cost, or power are required. Starting from these basic principles, this thesis explores the application of these techniques to imaging. The first laboratory example we introduce is a simple infrared camera. Then we discuss the application of compressive sensing techniques to hyperspectral microscopy, specifically Raman microscopy, which should prove to be a powerful technique to bring the acquisition time for such microscopies down from hours to minutes. Next we explore a novel sensing architecture that uses partial circulant matrices as sensing matrices, which results in a simplified, more robust imaging system. The results of these imaging experiments lead to questions about the performance and fundamental nature of sparse signal recovery with partial circulant compressive sensing matrices. Thus, we present the results of a suite of numerical experiments that show some surprising and suggestive results that could stimulate further theoretical and applied research of partial circulant compressive sensing matrices. We conclude with a look ahead to adaptive sensing procedures that allow real-time, interactive optical signal processing to further reduce the resource demands of an imaging system.

Description
Degree
Master of Science
Type
Thesis
Keywords
Compressive sensing, Sparse recovery, Phase transitions, Microscopy, Raman, Hyperspectral imaging
Citation

Turner, Matthew. "Experimental and Numerical Investigations of Novel Architectures Applied to Compressive Imaging Systems." (2012) Master’s Thesis, Rice University. https://hdl.handle.net/1911/64644.

Has part(s)
Forms part of
Published Version
Rights
Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
Link to license
Citable link to this page