Fast 2-D Hartley transform in 3-D object representation and recognition

Dah-Jye Lee; Manuel Ramirez; Sunanda Mitra

doi:10.1117/12.135097

1 March 1992 Fast 2-D Hartley transform in 3-D object representation and recognition

Dah-Jye Lee, Manuel Ramirez, Sunanda Mitra

Proceedings Volume 1608, Intelligent Robots and Computer Vision X: Neural, Biological, and 3-D Methods; (1992) https://doi.org/10.1117/12.135097
Event: Robotics '91, 1991, Boston, MA, United States

Abstract

In image processing or computer vision, Fourier transform is widely used for frequency- domain analysis. However, Hartley transform can be a very good substitute for the more commonly used Fourier transform when the real input data are concerned. A two-dimensional butterfly algorithm for fast Fourier transform has been modified to calculate the Hartley transform faster than could be done using row-column decomposition. This paper presents three different frequency-domain registration techniques, power cepstrum, complex cepstrum and phase correlation. These techniques not only are capable of precise registration of images but also lead to three-dimensional (3-D) reconstruction of real objects by finding the corresponding points and disparities of an image pair. Use of these recently developed techniques allows one to obtain a precise displacement between two images and a quantitative measurement of 3-D information in a relatively faster computation time. Hartley transform can be used to implement all of these three techniques instead of using complex number computation required by Fourier transform. An additional 35 percent saving of the computation time is achieved by implementing the two-dimensional butterfly algorithm for computing Hartley transform. This reduction in computation time makes the use of Hartley transform in frequency-domain analysis more attractive.

Citation Download Citation

Dah-Jye Lee, Manuel Ramirez, and Sunanda Mitra "Fast 2-D Hartley transform in 3-D object representation and recognition", Proc. SPIE 1608, Intelligent Robots and Computer Vision X: Neural, Biological, and 3-D Methods, (1 March 1992); https://doi.org/10.1117/12.135097

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available