Paper
18 September 2018 Performance limits and trade-offs of superresolution imaging systems
Author Affiliations +
Abstract
Several superresolution phenomena are re-visited in the context of the ”prior discrete Fourier transform” (PDFT). The PDFT is used to establish relationships between superresolution imaging applications, the construction of superoscillating signals and the design of superresolution filters. The condition number of the PDFT algorithm is identified as a pivotal parameter for practical applications of the PDFT to superresolution problems. Motivated by applications of the algorithm to imaging from Fourier data, a simple regularization procedure is suggested, which results in superoscillating signals representative of the constraints used for their construction. In addition, bandwidth extrapolation from oversampled data is investigated, which highlights inherent limits of superresolution signal recovery and synthesis.
© (2018) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Markus E. Testorf "Performance limits and trade-offs of superresolution imaging systems", Proc. SPIE 10772, Unconventional and Indirect Imaging, Image Reconstruction, and Wavefront Sensing 2018, 107720G (18 September 2018); https://doi.org/10.1117/12.2322007
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Cited by 1 scholarly publication and 1 patent.
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KEYWORDS
Super resolution

Imaging systems

Condition numbers

Diffraction

Optical design

Data modeling

Signal to noise ratio

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