Title

Subpixel Alignment Of Mri Data Under Cartesian And Log-Polar Sampling

Abstract

Magnetic resonance imaging (MRI) allows numerous Fourier domain sampling schemes such as Cartesian and non-Cartesian trajectories (e.g. Polar, circular, and spherical). On the other hand, it provides directly the Fourier spectrum of the field of view (FOV) in the corresponding sampling scheme. Motivated by these characteristic features of MRI, we have developed a new scheme for direct Fourier domain registration of MRI data based on the phase difference matrix. We derive the exact relationship between the continuous and the discrete Fourier phase-difference for Cartesian or polar sampling schemes, and demonstrate that in each case the discrete phase diffence is a 2D saw-tooth signal. Subpixel alignment under rotation, translation and scale variation is then established simply by counting the number of cycles of the sawtooth signal. 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). © 2006 IEEE.

Publication Date

12-1-2006

Publication Title

Proceedings - International Conference on Pattern Recognition

Volume

3

Number of Pages

607-610

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/ICPR.2006.1088

Socpus ID

34147145369 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34147145369

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