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Updated: Jul 7, 2026

Sample Drift Correction Following 4D Confocal Time-lapse Imaging
Published on: April 12, 2014
Extension of phase correlation to subpixel registration
Hassan Foroosh1, Josiane B Zerubia, Marc Berthod
1Dept. of Electr. Eng. and Comput. Sci., California Univ., Berkeley, CA 94720, USA. hshekar@eecs.berkeley.edu
Abstract:
In this paper, we have derived analytic expressions for the phase correlation of downsampled images. We have shown that for downsampled images the signal power in the phase correlation is not concentrated in a single peak, but rather in several coherent peaks mostly adjacent to each other. These coherent peaks correspond to the polyphase transform of a filtered unit impulse centered at the point of registration. The analytic results provide a closed-form solution to subpixel translation estimation, and are used for detailed error analysis. Excellent results have been obtained for subpixel translation estimation of images of different nature and across different spectral bands.
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