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
Original Manuscript: December 10, 2010
Manuscript Accepted: December 14, 2010
Published: April 8, 2011
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics
Daissy H. Garces, William T. Rhodes, and Nestor M. Peña, "Projection-slice theorem: a compact notation," J. Opt. Soc. Am. A 28, 766-769 (2011)