Paper
18 August 2011 Optical imaging based on compressive sensing
Shen Li, Cai-wen Ma, Ai-li Xia
Author Affiliations +
Abstract
Compressive Sensing (CS) is a new sampling framework that provides an alternative to the well-known Shannon sampling theory. The basic idea of CS theory is that a signal or image, unknown but supposed to be sparse or compressible in some basis, can be subjected to fewer measurements than the nominal number of pixels, and yet be accurately reconstructed. By designing optical sensors to measure inner products between the scene and a set of test functions according to CS theory, we can use sophisticated computational methods to infer critical scene structure and content for significantly economizing the resources in data acquisition store and transmit. In this paper, we investigate how CS can provide new insights into optical imaging including optical devices. We first give a brief overview of the CS theory and reviews associated fast numerical reconstruction algorithms. Next, this paper explores the potential of several different physically realizable optical systems based on CS principles. In the end, we briefly discuss possible implication in the areas of data compression and optical imaging.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Shen Li, Cai-wen Ma, and Ai-li Xia "Optical imaging based on compressive sensing", Proc. SPIE 8194, International Symposium on Photoelectronic Detection and Imaging 2011: Advances in Imaging Detectors and Applications, 81942H (18 August 2011); https://doi.org/10.1117/12.900691
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Cited by 1 scholarly publication and 1 patent.
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KEYWORDS
Cameras

Compressed sensing

Image compression

Sensors

Optical imaging

Detection theory

Expectation maximization algorithms

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