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Correlation is a common technique for the detection of shifts. Itsgeneralization to the multidimensional geometric correlation in Cliffordalgebras has been proven a useful tool for color image processing, because itadditionally contains information about a rotational misalignment. But so farthe exact correction of a three-dimensional outer rotation could only beachieved in certain special cases. In this paper we prove that applying thegeometric correlation iteratively has the potential to detect the outerrotational misalignment for arbitrary three-dimensional vector fields. Wefurther present the explicit iterative algorithm, analyze its efficiencydetecting the rotational misalignment in the color space of a color image. Theexperiments suggest a method for the acceleration of the algorithm, which ispractically tested with great success.

Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency