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
Copyright Status
Unknown
Socpus ID
34147145369 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/34147145369
STARS Citation
Balci, Murat; Alnasser, Mais; and Foroosh, Hassan, "Subpixel Alignment Of Mri Data Under Cartesian And Log-Polar Sampling" (2006). Scopus Export 2000s. 7745.
https://stars.library.ucf.edu/scopus2000/7745