Affine theorem for the Hartley transform of an image

Author

Bracewell, Ronald N.

Author_Institution

Space, Telecommun. & Radiosci. Lab., Stanford Univ., CA, USA

Volume

82

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

388

Lastpage

390

Abstract

Many well-known theorems for the two-dimensional (2D) Hartley transform are encapsulated in the affine theorem which is presented here and illustrated by example. The mode of presentation permits ready visualization of the effect on the spectral makeup when an object is subjected to a particular distortion as specified by the six disposable parameters of the affine coordinate transformation and of the effects of progressive distortion. By contrast, 2D Fourier transform pairs for images do not lend themselves to visualization in the same way. Affine transformations possess considerable flexibility and generality of a useful kind that arises from the property that a single 2D spectral component transforms into another single component

Keywords

image processing; transforms; 2D transforms; Hartley transform; affine coordinate transformation; affine theorem; image processing; progressive distortion; two-dimensional transforms; Content addressable storage; Digital arithmetic; Fourier transforms; Graphics; Laplace equations; Multidimensional systems; Optical distortion; Spectral analysis; Telecommunication computing; Visualization;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.272143

Filename

272143