Abstract
The notation normally associated with the projection-slice theorem often presents difficulties for students of Fourier optics and digital image processing. Simple single-line forms of the theorem that are relatively easily interpreted can be obtained for n-dimensional functions by exploiting the convolution theorem and the rotation theorem of Fourier transform theory. The projection-slice theorem is presented in this form for two- and three-dimensional functions; generalization to higher dimensionality is briefly discussed.
© 2011 Optical Society of America
Full Article | PDF ArticleMore Like This
Vahid R. Riasati and Mustafa A. G Abushagur
Appl. Opt. 36(14) 3022-3034 (1997)
M. Defrise, R. Clack, and D. Townsend
J. Opt. Soc. Am. A 10(5) 869-877 (1993)
Ljiljana Platiša, Bart Goossens, Ewout Vansteenkiste, Subok Park, Brandon D. Gallas, Aldo Badano, and Wilfried Philips
J. Opt. Soc. Am. A 28(6) 1145-1163 (2011)