Projection-slice theorem
id:
projection-slice-theorem-260-860972
title:
Projection-slice theorem
text:
In mathematics, the projection-slice theorem, central slice theorem or Fourier slice theorem in two dimensions states that the results of the following two calculations are equal: Take a two-dimensional function f(r), project it onto a (one-dimensional) line, and do a Fourier transform of that projection.
Take that same function, but do a two-dimensional Fourier transform first, and then slice it through its origin, which is parallel to the projection line. In operator terms, if F1 and F2 are th
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in mathematics
original url:
https://en.wikipedia.org/wiki/Projection-slice_theorem
date created:
date modified:
2023-07-25T03:14:53Z
main entity:
{"identifier":"Q7249438","url":"https://www.wikidata.org/entity/Q7249438"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c1/Fourier_Slice_Theorem.png","width":2014,"height":1608}
fields total:
13
integrity:
15