Title

Subpixel Estimation Of Shifts Directly In The Fourier Domain

Keywords

Phase correlation; Registration; Subpixel alignment

Abstract

In this paper, 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 two-dimensional sawtooth signal. Subpixel registration can, thus, be performed directly in the Fourier domain by counting the number of cycles of the phase difference matrix along each frequency axis. The subpixel portion is given by the noninteger fraction of the last cycle along each axis. The problem is formulated as an overdetermined homogeneous quadratic cost function under rank constraint for the phase difference, and the shape constraint for the filter that computes the group delay. The optimal tradeoff for imposing the constraints is determined using the method of generalized cross validation. Also, in order to robustify the solution, we assume a mixture model of inlying and outlying estimated shifts and truncate our quadratic cost function using expectation maximization. © 2006 IEEE.

Publication Date

7-1-2006

Publication Title

IEEE Transactions on Image Processing

Volume

15

Issue

7

Number of Pages

1965-1972

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TIP.2006.873457

Socpus ID

33745600159 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33745600159

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