Title

Estimating Sub-Pixel Shifts Directly From The Phase Difference

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 2-dimensional sawtooth signal. As a result, the exact shifts between two images can be determined to sub-pixel accuracy by counting the number of cycles of the phase difference matrix along each frequency axis. The sub-pixel portion is represented by a fraction of a cycle corresponding to the non-integer part of the shift. The problem is formulated as an over-determined system of equations, and is solved by imposing a regularity constraint, using the method of Generalized Cross Validation (GCV). © 2005 IEEE.

Publication Date

12-1-2005

Publication Title

Proceedings - International Conference on Image Processing, ICIP

Volume

1

Number of Pages

1057-1060

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/ICIP.2005.1529936

Socpus ID

33749629461 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33749629461

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