Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/26836
Title: Complementary aspects of spatial resolution and signal-to-noise ratio in computational imaging
Contributor(s): Gureyev, T E  (author)orcid ; Paganin, D M (author); Kozlov, A (author); Nesterets, Ya I  (author); Quiney, H M (author)
Publication Date: 2018-05-15
DOI: 10.1103/PhysRevA.97.053819
Handle Link: https://hdl.handle.net/1959.11/26836
Abstract: A generic computational imaging setup is considered which assumes sequential illumination of a semi-transparent object by an arbitrary set of structured illumination patterns. For each incident illumination pattern, all transmitted light is collected by a photon-counting bucket (single-pixel) detector. The transmission coefficients measured in this way are then used to reconstruct the spatial distribution of the object's projected transmission. It is demonstrated that the squared spatial resolution of such a setup is usually equal to the ratio of the image area to the number of linearly independent illumination patterns. If the noise in the measured transmission coefficients is dominated by photon shot noise, then the ratio of the spatially-averaged squared mean signal to the spatially-averaged noise variance in the "flat" distribution reconstructed in the absence of the object, is equal to the average number of registered photons when the illumination patterns are orthogonal. The signal-to-noise ratio in a reconstructed transmission distribution is always lower in the case of non-orthogonal illumination patterns due to spatial correlations in the measured data. Examples of imaging methods relevant to the presented analysis include conventional imaging with a pixelated detector, computational ghost imaging, compressive sensing, super-resolution imaging and computed tomography.
Publication Type: Journal Article
Source of Publication: Physical Review A (Atomic, Molecular and Optical Physics), 97(5), p. 1-14
Publisher: American Physical Society
Place of Publication: United States of America
ISSN: 2469-9926
2469-9934
Field of Research (FOR): 0205 Optical Physics
Socio-Economic Outcome Codes: 970102 Expanding Knowledge in the Physical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Description: The original title of this journal article was: "On the efficiency of computational imaging with structured illumination."
Appears in Collections:Journal Article
School of Science and Technology

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