Misalignment measure based on Hermann Weyl's

Autoren Bernhard Moser
Thomas Hoch
Editoren A. Kuijper
B. Heise
L. Muresan
TitelMisalignment measure based on Hermann Weyl's
BuchtitelProceedings of 32nd Workshop of the Austrian Association for Pattern Recogntion (AAPT/OAGM), Challenges in the Biosciences: Image Analysis and Pattern Recognition Aspects
Typin Konferenzband
VerlagOCG
OrtLinz, Austria
AbteilungKVS
ISBN978-3-85403-232-8
MonatMay
Jahr2008
Seiten187-198
SCCH ID#805
Abstract

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.