Name

cnv - calculate the circulant convolution function between two images using multiplication in Fourier space.

Usage

output = cnv(image, ref, center=True)

Input

image
input image, can be either real or Fourier
ref
second input image, can be either real or Fourier.
center
if set to True (default), the origin of the result is at the center; if set to False, the origin is at (0,0), the option is much faster, but the result is difficult to use

Output

output
circulant convolution function between image and ref. Real. The origin of the convolution function (term cnv(0,0,0)) is located at (int[n/2], int[n/2], int[n/2]) in 3D, (int[n/2], int[n/2]) in 2D, and at int[n/2] in 1D.

Method

Reference

Pratt, W. K., 1992. Digital image processing. Wiley, New York.

Author / Maintainer

Pawel A. Penczek

Keywords

category 1
FUNDAMENTALS
category 2
FOURIER

Files

fundamentals.py

Maturity

stable
works for most people, has been tested; test cases/examples available.

Bugs

None. It is perfect.

cnv (last edited 2013-07-01 13:12:59 by localhost)