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The Trace transform and its applications

  • M. Petrou
  • A. Kadyrov

Abstract

The trace transform, a generalisation of the Radon transform, consists of tracing an image with straight lines along which certain functionals of the image function are calculated. Different functionals that can be used may be invariant to different transformations of the image. The paper presents the properties the functionals used must have for the constructed features to be invariant to rotation, translation and scaling, and for the recovery of the transformation parameters.

Keywords

Image Function Invariant Feature Transformation Parameter Fourier Descriptor Radon Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    S R Deans, 1981. “Hough Transform from the Radon Transform”. IEEE PAMI, Vol 3, pp 185–188.CrossRefGoogle Scholar
  2. [2]
    S R Deans, 1983. “The Radon Transform and some of its applications”. Krieger Publishing Company.MATHGoogle Scholar
  3. [3]
    P Toft, 1996. “The Radon Transform: Theory and Implementation”. PhD thesis, Technical University of Denmark.Google Scholar

Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  • M. Petrou
    • 1
  • A. Kadyrov
    • 1
  1. 1.School of Electronic Engineering, Information Technology and MathematicsUniversity of SurreyGuildfordUK

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