ヒッツェル,エクハルト   HITZER, Eckhard
  ヒッツェル, エクハルト
   所属   国際基督教大学教養学部 アーツ・サイエンス学科
   職種   上級准教授
言語種別 英語
発行・発表の年月 2012
形態種別 研究論文(国際会議プロシーディングス)
査読 査読あり
標題 Detection of Total Rotations on linear 2D-Vector Fields with Iterative Geometric Correlation
執筆形態 共著
掲載誌名 AIP Conf. Proc.
掲載区分国外
出版社・発行元 American Institute of Physics
巻・号・頁 1493,pp.190-199
著者・共著者 HITZER Eckhard
概要 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.
DOI 10.1063/1.4765489