title: Projection-slice theorem: a compact notation.
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.
authors.affiliation: University of the Andes, School of Engineering, Department of Electrical and Electronic Engineering, Bogotá, Colombia.
authors.forename: Daissy H
authors.initials: DH
authors.lastname: Garces
authors.forename: William T
authors.initials: WT
authors.lastname: Rhodes
authors.forename: Nestor M
authors.initials: NM
authors.lastname: Peña
mesh_terms: D005583:Fourier Analysis; D021621:Imaging, Three-Dimensional; D055095:Optics and Photonics / Q000193:education*; D014057:Tomography, X-Ray Computed