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

作者：Bujack Roxana^*; Scheuermann Gerik; Hitzer Eckhard

来源：Advances in Applied Clifford Algebras, 2014, 24(2): 403-421.

DOI：10.1007/s00006-013-0411-7

• geometric algebra
• Clifford algebra
• registration
• outer rotation
• correlation
• iteration
• color image processing

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has been proven a useful tool for color image processing, because it additionally contains information about a rotational misalignment. But so far the exact correction of a three-dimensional outer rotation could only be achieved in certain special cases. %26lt;br%26gt;In this paper we prove that applying the geometric correlation iteratively has the potential to detect the outer rotational misalignment for arbitrary three-dimensional vector fields. %26lt;br%26gt;We further present the explicit iterative algorithm, analyze its efficiency detecting the rotational misalignment in the color space of a color image. The experiments suggest a method for the acceleration of the algorithm, which is practically tested with great success.

• 出版日期2014-6