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Hough transform from the radon transform.

S R Deans1

  • 1School of Mathematics, University of Minnesota, Minneapolis, MN 55455.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

The Radon transform, a 1917 mathematical tool, shares key features with the Hough transform used for line detection in digital images. This finding may aid in generalizing the Hough transform for broader applications.

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Area of Science:

  • Computer Vision
  • Image Processing
  • Mathematics

Background:

  • The Hough transform is a widely used technique for detecting line segments in digital images.
  • Generalizing the Hough transform has been an ongoing area of research.
  • The Radon transform is a mathematical integral transform.

Purpose of the Study:

  • To demonstrate that a specific case of the Radon transform possesses the main properties of the Hough transform.
  • To explore the potential of the Radon transform for generalizing the Hough transform.
  • To develop methods for applying the Radon transform to image features like lines and pixels.

Main Methods:

  • Investigated a special case of the 1917 Radon transform.
  • Developed techniques for applying the Radon transform to lines and pixels.
  • Utilized examples to illustrate the application of the Radon transform.

Main Results:

  • A special case of the Radon transform exhibits major properties analogous to the Hough transform.
  • The Radon transform can be effectively applied to identify line segments in digital images.
  • Techniques for applying the Radon transform to pixels were successfully developed.

Conclusions:

  • The Radon transform offers a viable alternative and potential generalization for the Hough transform in line detection.
  • This research provides a foundation for extending Hough transform capabilities to arbitrary curves.
  • The findings suggest new avenues for image analysis and feature extraction using integral transforms.