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Identification of translational displacements between N-dimensional data sets using the high-order SVD and phase correlation

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2 Author(s)
W. S. Hoge ; Dept. of Radiol., Brigham & Women's Hosp., Boston, MA, USA ; C. -F. Westin

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.

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IEEE Transactions on Image Processing  (Volume:14 ,  Issue: 7 )