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  • Research Article
  • Open Access

Subpixel Registration Directly from the Phase Difference

  • 1 and
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EURASIP Journal on Advances in Signal Processing20062006:060796

https://doi.org/10.1155/ASP/2006/60796

Received: 1 December 2004

Accepted: 21 June 2005

Published: 25 January 2006

Abstract

This paper proposes a new approach to subpixel registration, under local/global shifts or rotation, using the phase-difference matrix. We establish the exact relationship between the continuous and the discrete phase difference of two shifted images and show that their discrete phase difference is a 2-dimensional sawtooth signal. As a result, the exact shifts or rotations can be determined to subpixel or subangle accuracy by counting the number of cycles of the phase-difference matrix along the frequency axes. The subpixel portion is represented by a fraction of a cycle corresponding to the noninteger part of the shift or rotation. The rotation angle is estimated by applying our method using a polar coordinate system. The problem is formulated as an overdetermined system of equations and is solved by imposing a regularity constraint. The tradeoff for imposing the constraint is determined by exploiting the rank constraint leading to a closed-form expression for the optimal regularization parameter.

Keywords

  • Coordinate System
  • Information Technology
  • Rotation Angle
  • Phase Difference
  • Quantum Information

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Authors’ Affiliations

(1)
School of Computer Science, University of Central Florida, Orlando, USA

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Copyright

© Balci and Foroosh. 2006

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