Identification of translational displacements between N-dimensional data sets using the high-order SVD and phase correlation. |
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Authors: | W Scott Hoge Carl-Fredrik Westin |
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Affiliation: | Department of Radiology, Brigham and Women's Hospital and Harvard Medical School, Boston, MA 02115, USA. shoge@bwh.harvard.edu |
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Abstract: | 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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