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A surprising Radon transform result and its application to motion detection.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
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Fan filters, the 3-D Radon transform, and image sequence analysis.

T L Marzetta1

  • 1Nichols Res. Corp., Wakefield, MA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1994
PubMed
Summary

This study introduces fan filtering for moving objects using the 3-D Radon transform, simplifying analysis. This method effectively detects moving targets by filtering based on object speed and velocity.

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Area of Science:

  • Image processing
  • Signal processing
  • Applied mathematics

Background:

  • Traditional fan filtering methods rely on the 3-D Fourier transform.
  • Analyzing fan filters for moving objects presents challenges due to velocity-slowness mapping complexity.

Purpose of the Study:

  • To develop a theory for applying fan filters to moving objects.
  • To simplify the analysis of fan filtering using the 3-D Radon transform.
  • To elucidate the capabilities and constraints of fan filtering in image sequence analysis.

Main Methods:

  • Utilizing the 3-D Radon transform to decompose image sequences into plane waves.
  • Representing plane waves by a two-component slowness vector.
  • Applying fan filtering via multiplication in the Radon transform domain, followed by an inverse transform.

Main Results:

  • The 3-D Radon transform simplifies fan filtering by decomposing image sequences into plane waves.
  • Fan filtering is equivalent to a slowness response function multiplication in the Radon domain.
  • The study clarifies the power and limitations of fan filtering for moving object detection.

Conclusions:

  • Fan filtering, when applied using the 3-D Radon transform, offers a powerful approach for moving target detection in noisy environments.
  • The method allows for the rejection of objects below a specific speed threshold.
  • Understanding the velocity-slowness mapping is crucial for optimizing fan filter performance.