2011
DOI: 10.1364/ao.50.004436
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Coding for compressive focal tomography

Abstract: We consider the capabilities and limits of strategies for single-aperture three-dimensional and extended depth of field optical imaging. We show that reduced spatial resolution is implicit in forward models for light field sampling and that reduced modulation transfer efficiency is intrinsic to pupil coding. We propose a novel strategy based on image space modulation and show that this strategy can be sensitive to high-resolution spatial features across an extended focal volume.

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Cited by 13 publications
(8 citation statements)
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“…The optical design for the COSMOS macroscope used a dualfocus lenslet array (Figure 1D), balancing high light throughput, long depth-of-field, ease of implementation, and resolution, with modest data processing requirements and reasonable system cost. Theoretical analysis demonstrated that, in terms of light collection, defocus, and extracted neuronal source signalto-noise ratio (SNR) across the extent of the curved window, the COSMOS macroscope design outperformed other potential solutions (Abrahamsson et al, 2013;Brady and Marks, 2011;Cossairt et al, 2013;Hasinoff et al, 2009;Levin et al, 2009;Schechner et al, 2007;Figure S2). Empirical comparisons demonstrated that a COSMOS macroscope, with focal planes offset by $600 mm (Figures 1E and 1F), outperformed a comparable conventional macroscope in terms of depth of field while maintaining equivalent light throughput (Figures 1G and 1H).…”
Section: Resultsmentioning
confidence: 99%
“…The optical design for the COSMOS macroscope used a dualfocus lenslet array (Figure 1D), balancing high light throughput, long depth-of-field, ease of implementation, and resolution, with modest data processing requirements and reasonable system cost. Theoretical analysis demonstrated that, in terms of light collection, defocus, and extracted neuronal source signalto-noise ratio (SNR) across the extent of the curved window, the COSMOS macroscope design outperformed other potential solutions (Abrahamsson et al, 2013;Brady and Marks, 2011;Cossairt et al, 2013;Hasinoff et al, 2009;Levin et al, 2009;Schechner et al, 2007;Figure S2). Empirical comparisons demonstrated that a COSMOS macroscope, with focal planes offset by $600 mm (Figures 1E and 1F), outperformed a comparable conventional macroscope in terms of depth of field while maintaining equivalent light throughput (Figures 1G and 1H).…”
Section: Resultsmentioning
confidence: 99%
“…It is important to note, however, that the actual object information contained in the raw petapixel photon flux is always much less than the pixel limit in natural fields. Noting recent progress in using compressive sampling to reduce bandwidth and pixel sampling rates [9][10][11][12] in addition to coding spectral [13] and focal [14] degrees of freedom, one may reasonably expect physical layer compression to reduce the camera data load by 4-5 orders of magnitude. In combination with parallel read-out enabled by multiscale design, this suggests that full petapixel data cube sensitivity may eventually be achievable.…”
Section: Information Capacity and Multiscale Designmentioning
confidence: 99%
“…For example, we have shown that 3D hyperspectral [18], diffraction [19], and x-ray scatter [20,21] images may be reconstructed from 2D data. We have also analyzed compressive sampling for reconstruction of 3D objects with conventional optics [22]. Most recently, we have shown that 3D video data cubes may be constructed from 2D frames [23], thus using compressive tomography to perform the reconstruction with respect to time.…”
Section: Introductionmentioning
confidence: 99%