Along with a review of some of the mathematical foundations of computed tomography, the article contains new results on derivation of reconstruction formulas in a general setting encompassing all standard formulas; discussion and examples of the role of the point spread function with recipes for producing suitable ones; formulas for, and examples of, the reconstruction of certain functions of the attenuation coefficient, e.g., sharpened versions of it, some of them with the property that reconstruction at a point requires only the attenuation along rays meeting a small neighborhood of the point.
© 1985 Optical Society of America
Original Manuscript: August 12, 1984
Published: December 1, 1985
Kennan T. Smith and F. Keinert, "Mathematical foundations of computed tomography," Appl. Opt. 24, 3950-3957 (1985)