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Fan-beam Reconstruction Methods

dc.date.accessioned2004-10-01T20:33:53Z
dc.date.accessioned2018-11-24T10:10:23Z
dc.date.available2004-10-01T20:33:53Z
dc.date.available2018-11-24T10:10:23Z
dc.date.issued1977-11-01en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/5749
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/1721.1/5749
dc.description.abstractIn a previous paper a technique was developed for finding reconstruction algorithms for arbitrary ray-sampling schemes. The resulting algorithms use a general linear operator, the kernel of which depends on the details of the scanning geometry. Here this method is applied to the problem of reconstructing density distributions from arbitrary fan-beam data. The general fan-beam method is then specialized to a number of scanning geometries of practical importance. Included are two cases where the kernel of the general linear operator can be factored and rewritten as a function of the difference of coordinates only and the superposition integral consequently simplifies into a convolution integral. Algorithms for these special cases of the fan-beam problem have been developed previously by others. In the general case, however, Fourier transforms and convolutions do not apply, and linear space-variant operators must be used. As a demonstration, details of a fan-beam method for data obtained with uniform ray-sampling density are developed.en_US
dc.format.extent42 p.en_US
dc.format.extent6372636 bytes
dc.format.extent4597398 bytes
dc.language.isoen_US
dc.titleFan-beam Reconstruction Methodsen_US


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