Gabor 3D

A 3D Gabor is the product of a 3D Gaussian and a 3D harmonic function. The length of the axes is controlled by the Gaussian and the frequency is controlled by the harmonic function. 3D Gabor wavelets are used for spatio-temporal analysis of a three-dimensional signal, like a video sequence, to extract motion energy features.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


D. Gabor, "Theory of Communication," J. IEE, Part III, 93(26), 1946 pp. 429–457.
J. G. Daugman, "Complete Discrete 2D Gabor Transforms by Neural Networks for Image Analysis and Compression,” IEEE Transaction on Acoustics, Speech, and Signal Processing, 36(7), 1988 pp. 1169–1179.
I. R. Fasel, M. S. Bartlett, and J. R. A. Movellan,"A Comparison of Gabor Filter Methods for Automatic Detection of Facial Landmarks," in 5th IEEE International Conference on Automatic Face and Gesture Recognition (FGR 2002), Washington, DC: IEEE Computer Society pp. 242–248.
B. MacLennan, "Gabor Representations of Spatiotemporal Visual Images," Technical Report CS-91-144, Knoxville, TN: University of Tennessee, 1991.
D. J. Heeger, "Model for the Extraction of Image Flow," Journal of the Optical Society of America A: Optics, Image Science, and Vision, 4(8), 1987 pp. 1455–1471.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+