Hoge W Scott, Westin Carl-Fredrik
Department of Radiology, Brigham and Women's Hospital and Harvard Medical School, Boston, MA 02115, USA.
IEEE Trans Image Process. 2005 Jul;14(7):884-9. doi: 10.1109/tip.2005.849327.
This paper presents an extension of the phase correlation image alignment method to N-dimensional data sets. By the Fourier shift theorem, the motion model for translational shifts between N-dimensional images can be represented as a rank-one tensor. Through use of a high-order singular value decomposition, the phase correlation between two N-dimensional data sets can be decomposed to independently identify translational displacements along each dimension with subpixel resolution. Using three-dimensional MRI data sets, we demonstrate the effectiveness of this approach relative to other N-dimensional image registration methods.
