Subpixel registration directly from the phase difference
Abbreviated Journal Title
EURASIP J Appl. Signal Process.
HIGH-RESOLUTION IMAGE; RECONSTRUCTION ALGORITHM; SUPERRESOLUTION IMAGE; RESTORATION; EXTENSION; NOISY; Engineering, Electrical & Electronic
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.
Eurasip Journal on Applied Signal Processing
"Subpixel registration directly from the phase difference" (2006). Faculty Bibliography 2000s. 5922.