NDLI: Similarity measures and comparison metrics for image shapes

Content Provider	Springer Nature Link
Author	Vizilter, Yu. V. Zheltov, S. Yu.
Copyright Year	2014
Abstract	The problem of defining the procedure of morphological comparison of mosaic shapes consistent with the Pyt’ev morphological image-to-shape comparison is discussed. Four different techniques for constructing such a procedure are studied, which are based on the search for critical points of the morphological correlation coefficient, on the analysis of properties of superposition of projectors onto shapes, on the estimation of the angle aperture between shapes considered as subspaces of the space of images, and on the Hausdorff metric between shape manifolds projected onto a unit hypersphere. For all the techniques, measures of similarity or dissimilarity of mosaic shapes are obtained independently. The similarity measures based on the first two approaches (morphological shape correlation coefficients) turned out to be identical, while the two other techniques resulted in the dissimilarity measures that are related to the morphological correlation shape coefficient with one-to-one dependences.
Starting Page	542
Ending Page	555
Page Count	14
File Format	PDF
ISSN	10642307
Journal	Journal of Computer and Systems Sciences International
Volume Number	53
Issue Number	4
e-ISSN	15556530
Language	English
Publisher	Pleiades Publishing
Publisher Date	2014-08-06
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software

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