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Proceedings Paper

Spatial-Frequency Representations Of Images With Scale Invariant Properties
Author(s): C. H. Anderson; C. R. Carlson; R. W. Klopfenstein
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Paper Abstract

Scale-invariant transforms are those that leave the form of the image representation unchanged over changes in image size. These transforms have the important advantages of simplifying pattern recognition tasks when the distance to the objects is variable, while simultaneously reducing the amount of data that must be processed. The properties of scale-invariant systems are investigated here in the spatial-frequency domain, using an image representation called a "scaled transform". A discrete version of the transform is developed and its properties contrasted with those of the Fourier series. It is shown that unlike the Fourier series representation where the magnitude of the frequency vectors, k, occur at fixed frequency intervals ▵k, the scaled-transform frequencies occur at fixed fractional intervals ▵k/k.

Paper Details

Date Published: 23 May 1983
PDF: 6 pages
Proc. SPIE 0360, Robotics and Industrial Inspection, (23 May 1983); doi: 10.1117/12.934088
Show Author Affiliations
C. H. Anderson, RCA Laboratories (United States)
C. R. Carlson, RCA Laboratories (United States)
R. W. Klopfenstein, RCA Laboratories (United States)


Published in SPIE Proceedings Vol. 0360:
Robotics and Industrial Inspection
David P. Casasent, Editor(s)

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