Title

Subpixel registration directly from the phase difference

Authors

Authors

M. Balci;H. Foroosh

Comments

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Abbreviated Journal Title

EURASIP J Appl. Signal Process.

Keywords

HIGH-RESOLUTION IMAGE; RECONSTRUCTION ALGORITHM; SUPERRESOLUTION IMAGE; RESTORATION; EXTENSION; NOISY; Engineering, Electrical & Electronic

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. Copyright (C) 2006 Hindawi Publishing Corporation. All rights reserved.

Journal Title

Eurasip Journal on Applied Signal Processing

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

11

WOS Identifier

WOS:000242066400001

ISSN

1110-8657

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