Spatial-Frequency Representations Of Images With Scale Invariant Properties

C. H. Anderson; C. R. Carlson; R. W. Klopfenstein

doi:10.1117/12.934088

23 May 1983 Spatial-Frequency Representations Of Images With Scale Invariant Properties

C. H. Anderson, C. R. Carlson, R. W. Klopfenstein

Proceedings Volume 0360, Robotics and Industrial Inspection; (1983) https://doi.org/10.1117/12.934088
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

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.

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C. H. Anderson, C. R. Carlson, and R. W. Klopfenstein "Spatial-Frequency Representations Of Images With Scale Invariant Properties", Proc. SPIE 0360, Robotics and Industrial Inspection, (23 May 1983); https://doi.org/10.1117/12.934088

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KEYWORDS

Transform theory

Visual system

Image processing

Fourier transforms

Pattern recognition

Image resolution

Spatial frequencies

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