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Proceedings Paper

Recent results in single-pixel compressive imaging using selective measurement strategies
Author(s): Matthew A. Herman; Tyler Weston; Lenore McMackin; Yun Li; Jianbo Chen; Kevin F. Kelly
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Paper Abstract

This paper reports an overview of recent results in compressive imaging and detection using a single-pixel camera. These applications use a digital micromirror device to spatially modulate the light from an observed scene using binary sensing patterns. The patterns are obtained from a special Hadamard matrix that contains blocks of rows of which each has a common local signature pattern. The blocks partition the Hadamard spectrum, thus permitting analysis of the scene in terms of these local signature patterns. In contrast, Hadamard patterns are typically described in terms of their sequency, which is a global property of each individual row. The proposed local-signature, row-block point of view can be beneficial since it permits us to adaptively select the best blocks with which to sense the signal/scene of interest, or to select the best blocks based on a priori information. As a result, in imaging applications more fine-scale detail can be extracted from the scene, and in detection applications fewer false positives can result. Note, this signature row-block partitioning is a general mathematical technique that can be applied to the Kronecker product of any two matrices, of any size. For example, in our imaging application, we extend this idea to a Hadamard matrix that is not a power of two, yet whose block-signatures possess the familiar Sylvester-Walsh power-of-two sequency patterns.

Paper Details

Date Published: 14 May 2015
PDF: 18 pages
Proc. SPIE 9484, Compressive Sensing IV, 94840A (14 May 2015); doi: 10.1117/12.2180474
Show Author Affiliations
Matthew A. Herman, InView Technology Corp. (United States)
Tyler Weston, InView Technology Corp. (United States)
Lenore McMackin, InView Technology Corp. (United States)
Yun Li, Rice Univ. (United States)
Jianbo Chen, Rice Univ. (United States)
Kevin F. Kelly, Rice Univ. (United States)

Published in SPIE Proceedings Vol. 9484:
Compressive Sensing IV
Fauzia Ahmad, Editor(s)

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