Detection of Total Rotations on 2D-Vector Fields with Geometric Correlation
Algebraic Geometry
2013-06-11 v1
Abstract
Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras additionally contains information with respect to rotational misalignment. It has been proven a useful tool for the registration of vector fields that differ by an outer rotation. In this paper we proof that applying the geometric correlation iteratively has the potential to detect the total rotational misalignment for linear two-dimensional vector fields. We further analyze its effect on general analytic vector fields and show how the rotation can be calculated from their power series expansions.
Keywords
Cite
@article{arxiv.1306.2201,
title = {Detection of Total Rotations on 2D-Vector Fields with Geometric Correlation},
author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer},
journal= {arXiv preprint arXiv:1306.2201},
year = {2013}
}