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2012 | OriginalPaper | Chapter

2. Similarity and Dissimilarity Measures

Author : Prof. A. Ardeshir Goshtasby

Published in: Image Registration

Publisher: Springer London

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Abstract

The topics of similarity and dissimilarity measures are discussed in detail. The chapter starts with definitions of similarity and dissimilarity measures and lists the requirements for them to be metrics. In addition to the existing similarity and dissimilarity measures, 3 new similarity measures and 1 new dissimilarity measure are introduced. The performances of 16 similarity measures and 10 dissimilarity measures in image matching are determined and compared, and their sensitivities to noise and blurring as well as to intensity and geometric changes are also determined and compared. The similarity measures tested are Pearson correlation, Tanimoto measure, stochastic sign change, deterministic sign change, minimum ratio, Spearman’s ρ, Kendall’s τ, greatest deviation, ordinal measure, correlation ratio, energy of joint probability density, material similarity, Shannon mutual information, Rényi mutual information, Tsallis mutual information, and I α information. The dissimilarity measures tested are L 1 norm, median of absolute differences, square L 2 norm, median of square differences, normalized square L 2 norm, incremental sign distance, intensity-ratio variance, intensity-mapping-ratio variance, rank distance, joint entropy, and exclusive F-information.

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Metadata
Title
Similarity and Dissimilarity Measures
Author
Prof. A. Ardeshir Goshtasby
Copyright Year
2012
Publisher
Springer London
Book
Image Registration

Print ISBN: 978-1-4471-2457-3

Electronic ISBN: 978-1-4471-2458-0

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-1-4471-2458-0_2

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