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5 September 2008Superresolution capabilities of 3D optical filters
Multichannel sampling strategies have been considered for a number of applications including feature specific
imaging, and digital superresolution. Typically, channel coding is accomplished with a thin modulating mask,
either in the focal plane, or in the aperture of the imaging system. In this contribution, we extend the concept
of multichannel imaging to systems by suggesting the use of 3D structures for channel coding. A single pixel
camera design and the single scattering approximation are used to obtain a Fourier space interpretation of 3D
filters. The k-space analysis indicates that the dispersion relation of propagating plane wave modes set severe
constraints if 3D filters are used for channel coding. We relate this to the broader questions about the fundamental
limits of optical and computational imaging and propose 3D filters for wavelength coding and superresolution
applications.
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Michael A. Fiddy, Markus E. Testorf, "Superresolution capabilities of 3D optical filters," Proc. SPIE 7076, Image Reconstruction from Incomplete Data V, 70760K (5 September 2008); https://doi.org/10.1117/12.796795