Journal of Industrial and Management Optimization (JIMO)

Multimodal image registration by elastic matching of edge sketches via optimal control

Pages: 567 - 590, Volume 10, Issue 2, April 2014      doi:10.3934/jimo.2014.10.567

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Angel Angelov - Otto-Hahn-Str. 15, D-30880 Laatzen, Germany (email)
Marcus Wagner - University of Leipzig, Department of Mathematics, P. O. B. 10 09 20, D-04009 Leipzig, Germany (email)

Abstract: For the problem of multimodal image registration, an optimal control approach is presented. The geometrical information of the images will be transformed into weighted edge sketches, for which a linear-elastic or hyperelastic registration will be performed. For the numerical solution of this problem, we provide a direct method based on discretization methods and large-scale optimization techniques. A comparison of a separated and a joint access for the generation of the edge sketches and the determination of the matching deformation is made. The quality of the results obtained with the optimal control method competes well with those generated by a standard variational method.

Keywords:  Multimodal image registration, linear-elastic and hyperelastic regularization, optimal control problem, hard constraints, direct methods.
Mathematics Subject Classification:  Primary: 49J20, 68U10, 74B05, 74B20; Secondary: 26B25, 49M37.

Received: December 2012;      Revised: August 2013;      Available Online: October 2013.