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Applied Optics

Applied Optics


  • Vol. 42, Iss. 23 — Aug. 10, 2003
  • pp: 4718–4735

Detection and tracking of rotated and scaled targets by use of Hilbert-wavelet transform

Jahangheer S. Shaik and Khan. M. Iftekharuddin  »View Author Affiliations

Applied Optics, Vol. 42, Issue 23, pp. 4718-4735 (2003)

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In a recent work, we demonstrated the usefulness of the Hilbert transform in identifying the in-plane rotation angle between two objects. Here we use the Hilbert-wavelet bases instead of the Hilbert transform in the determination of the exact angle of rotation. We describe the design of the two-dimensional Hilbert-wavelet filter based on the spectral-factorization method to generate a Hilbert-transform pair of orthogonal wavelet bases. We compare the relative performance of the Hilbert transform and the Hilbert wavelet to identify both in-plane and out-of-plane rotation angles. We demonstrate that the Hilbert wavelet offers better rotation-angle determination than the Hilbert transform. We present correlation based rotated and scaled object identification and tracking using Hilbert or Hilbert-wavelet transformed infrared image sequences. We also demonstrate reduced data handling and improved tracking of distorted objects using the Hilbert-wavelet transform.

© 2003 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(100.5010) Image processing : Pattern recognition
(100.7410) Image processing : Wavelets

Original Manuscript: November 14, 2002
Revised Manuscript: May 29, 2003
Published: August 10, 2003

Jahangheer S. Shaik and Khan. M. Iftekharuddin, "Detection and tracking of rotated and scaled targets by use of Hilbert-wavelet transform," Appl. Opt. 42, 4718-4735 (2003)

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