Tomographical imaging with limited-angle input

The principle and applications of optical microscope tomography.

“…Compared with CT with full projection data, the observation angular range in the proposed microscopic tomography is limited by the aperture of the objective lens, and hence the 3-D transfer function of this system is angularly bandlimited. The same problem is found in X-ray tomography including motion tomography (3,14), CT (10,12), and emission CT (20). The 3-D imaging by a 1(a) microscope has also the same problem for reconstruction (19) ; 3-D OTF is angularly bounded by the aperture of the objective lens.…”

High-Resolution 3-D Refractive Index Tomography and 2-D Synthetic Aperture Imaging of Live Phytoplankton

“…Due to the limited NA of an objective lens, some information is inevitably inaccessible in the 3-D Fourier space. This missing information can be filled using an iteration method with appropriate assumptions [34]. Finally, the 3-D RI distribution of a sample can be converted from the 3-D scattering potential spectrum via 3-D inverse Fourier transformation.…”

Edge Enhancement Computed Tomography

“…The filtered retroprojection algorithm was used for reconstructions that were done from data generated by the use of very narrow angles in a fan form and beams that rotate and cross continuously the surroundings of the object. The projection algorithm is also known for non-uniform data of the sample [Horn, 1978] [Horn, 1979] [Lewitt & Bates, 1978] [Oppenheim, 1975] [Sato et al, 1980] [Tam & Perez-Mendez, 1981] and for reconstructions obtained from incomplete and limited projections. Complete reconstructions in three dimensions are discussed in [Chiu et al, 1979] [Chiu et al, 1980] [Smith, 1985].…”