A Geometric Theory of Symmetric Registration

Authors:
Hemant D. Tagare;David Groisser;Oskar Skrinjar
Affiliations:
Yale University, USA;University of Florida, USA;Georgia Institute of Technology, USA
Venue:
CVPRW '06 Proceedings of the 2006 Conference on Computer Vision and Pattern Recognition Workshop
Year:
2006

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Abstract

This paper shows that asymmetry (inverse inconsistency) in L2 and information theoretic (IT) registration objective functions is the result of using standard volume differential forms. A new space with non-standard volume differential forms is identified, and a unique symmetrizing volume differential form is found in it. This form simultaneously symmetrizes the L2 and the IT registration functions. Experimental results supporting the mathematical theory are provided.