Misalignment measure based on Hermann Weyl's
|Titel||Misalignment measure based on Hermann Weyl's|
|Buchtitel||Proceedings of 32nd Workshop of the Austrian Association for Pattern Recogntion (AAPT/OAGM), Challenges in the Biosciences: Image Analysis and Pattern Recognition Aspects|
Similarity measures for translationally misaligned image patterns are studied. It turns out that for measures based on standard concepts like crosscorrelation, Lp-norm and mutual information monotonicity with respect to the extent of misalignment can not be guarantueed. In this paper we introduce a novel distance measure for images based on Hermann Weyl's discrepancy concept which relies on the evaluation of partial sums. In contrast to standard concepts in this case monotonicity, positive-definiteness and a homogenously linear upper bound with respect to the extent of misalignment can be proven. It is shown that this monotonicity property is not influenced by the image's frequencies or other characteristics which makes this new similarity measure predestinated for similarity-based registration, tracking and segmentation.