On set distances and their application to image registration

In this paper we study set distances that are used in image processing. We propose a generalization of sum of minimal distances and show that its special case includes a metric by symmetric difference. The Hausdorff metric and the Chamfer matching distances are also closely related with the presente...

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Bibliographic Details
Main Authors: Lindblad, J., Curic, V., Sladoje, N.
Format: Conference Proceeding
Language:English
Subjects:
Bildanalys
Computational complexity
Computerized Image Analysis
Computerized Image Processing
Datoriserad bildanalys
Datoriserad bildbehandling
Earth
Image analysis
Image color analysis
Image processing
Image registration
Information technology
Informationsteknik
Machine learning
Performance evaluation
TECHNOLOGY
TEKNIKVETENSKAP
Topology
Zinc
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Summary:In this paper we study set distances that are used in image processing. We propose a generalization of sum of minimal distances and show that its special case includes a metric by symmetric difference. The Hausdorff metric and the Chamfer matching distances are also closely related with the presented framework. In addition, we define the complement set distance of a given set distance. We evaluate the observed distances with respect to applicability to image object registration. We perform comparative evaluation with respect to noise sensitivity, as well as with respect to rigid body transformations. We conclude that the family of generalized sum of minimal distances has many desirable properties for this application.
ISSN:1845-5921
DOI:10.1109/ISPA.2009.5297672