Limited-data computed tomography algorithms for the physical sciences

Verhoeven, Dean D.

doi:10.1364/ao.32.003736

Cited by 190 publications

(90 citation statements)

References 40 publications

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“…The goal of tomographic reconstruction is to solve this set of linear equations. Various methods of 3D reconstruction from many 2D views have been developed and tested to ®nd an estimate f H of f (for reviews, see, e.g., Budinger and Gullberg, 1974;Gordon and Herman, 1974;Budinger et al, 1979;Natterer, 1986;Verhoeven, 1993).…”

Section: Methodsmentioning

confidence: 99%

Optical tomography of the aurora and EISCAT

Frey

Lanchester

et al. 1998

Ann Geophysicae

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Abstract. Tomographic reconstruction of the threedimensional auroral arc emission is used to obtain vertical and horizontal distributions of the optical auroral emission. Under the given experimental conditions with a very limited angular range and a small number of observers, algebraic reconstruction methods generally yield better results than transform techniques. Dierent algebraic reconstruction methods are tested with an auroral arc model and the best results are obtained with an iterative least-square method adapted from emission-computed tomography. The observation geometry used during a campaign in Norway in 1995 is tested with the arc model and root-mean-square errors, to be expected under the given geometrical conditions, are calculated. Although optimum geometry was not used, root-mean-square errors of less than 27 for the images and of the order of 307 for the distribution could be obtained. The method is applied to images from real observations. The correspondence of original pictures and projections of the reconstructed volume is discussed, and emission pro®les along magnetic ®eld lines through the three-dimensionally reconstructed arc are calibrated into electron density pro®les with additional EISCAT measurements. Including a background pro®le and the temporal changes of the electron density due to recombination, good agreement can be obtained between measured pro®les and the time-sequence of calculated pro®les. These pro®les are used to estimate the conductivity distribution in the vicinity of the EISCAT site. While the radar can only probe the ionosphere along the radar beam, the three-dimensional tomography enables conductivity estimates in a large area around the radar site.

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Section: Methodsmentioning

confidence: 99%

Optical tomography of the aurora and EISCAT

Frey

Lanchester

et al. 1998

Ann Geophysicae

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“…Various methods of 3D reconstruction from many 2D views have been developed and tested to ®nd an estimate f H of f (for reviews, see, e.g., Budinger and Gullberg, 1974;Gordon and Herman, 1974;Budinger et al, 1979;Natterer, 1986;Verhoeven, 1993).…”

Section: Methodsmentioning

confidence: 99%

Optical tomography of the aurora and EISCAT

Frey

Lanchester

et al. 1998

Ann. Geophys.

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Abstract. Tomographic reconstruction of the threedimensional auroral arc emission is used to obtain vertical and horizontal distributions of the optical auroral emission. Under the given experimental conditions with a very limited angular range and a small number of observers, algebraic reconstruction methods generally yield better results than transform techniques. Di erent algebraic reconstruction methods are tested with an auroral arc model and the best results are obtained with an iterative least-square method adapted from emission-computed tomography. The observation geometry used during a campaign in Norway in 1995 is tested with the arc model and root-mean-square errors, to be expected under the given geometrical conditions, are calculated. Although optimum geometry was not used, root-mean-square errors of less than 27 for the images and of the order of 307 for the distribution could be obtained. The method is applied to images from real observations. The correspondence of original pictures and projections of the reconstructed volume is discussed, and emission pro®les along magnetic ®eld lines through the three-dimensionally reconstructed arc are calibrated into electron density pro®les with additional EISCAT measurements. Including a background pro®le and the temporal changes of the electron density due to recombination, good agreement can be obtained between measured pro®les and the time-sequence of calculated pro®les. These pro®les are used to estimate the conductivity distribution in the vicinity of the EISCAT site. While the radar can only probe the ionosphere along the radar beam, the three-dimensional tomography enables conductivity estimates in a large area around the radar site.

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“…Although not implemented in this manuscript, reduction of such artifacts can be achieved by implementing iterative constraint algorithms based either on the 3D support of the object or by utilizing a priori information about the transmission function of the object, which enables iteratively filling the missing region in the 3D Fourier space of the object function. 20 In summary, we have presented the demonstration of optofluidic tomographic microscopy using partially coherent lensfree digital in-line holography. This on-chip tomographic imaging modality would be quite valuable for microfluidic lab-on-a-chip platforms where high-throughput 3D imaging of the specimen is needed.…”

Section: Fig 1 ͑Color Online͒ a Schematic Diagram Of Optofluidicmentioning

confidence: 98%

Optofluidic Tomography on a Chip

Isikman

Bishara

Zhu

et al. 2011

Applied Physics Letters

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Using lensfree holography we demonstrate optofluidic tomography on a chip. A partially coherent light source is utilized to illuminate the objects flowing within a microfluidic channel placed directly on a digital sensor array. The light source is rotated to record lensfree holograms of the objects at different viewing directions. By capturing multiple frames at each illumination angle, pixel super-resolution techniques are utilized to reconstruct high-resolution transmission images at each angle. Tomograms of flowing objects are then computed through filtered back-projection of these reconstructed lensfree images, thereby enabling optical sectioning on-a-chip. The proof-of-concept is demonstrated by lensfree tomographic imaging of C. elegans.

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Limited-data computed tomography algorithms for the physical sciences

Cited by 190 publications

References 40 publications

Optical tomography of the aurora and EISCAT

Optical tomography of the aurora and EISCAT

Optical tomography of the aurora and EISCAT

Optofluidic Tomography on a Chip

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