Cardiac motion estimation using covariant derivatives and helmholtz decomposition

Authors:
Alessandro Becciu;Remco Duits;Bart J. Janssen;Luc M. J. Florack;Hans C. van Assen
Affiliations:
Dept. of Biomedical Engineering, Eindhoven University of Technology, Netherlands;Dept. of Biomedical Engineering, Eindhoven University of Technology, Netherlands;Dept. of Mathematics, Eindhoven University of Technology, Netherlands;Dept. of Biomedical Engineering, Eindhoven University of Technology, Netherlands;Dept. of Biomedical Engineering, Eindhoven University of Technology, Netherlands
Venue:
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Year:
2011

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Abstract

Quantification of cardiac function is important for the assessment of abnormalities and response to therapy. We present a method to reconstruct dense cardiac motion from sparse features in tagging MRI, decomposed into solenoidal and irrotational parts using multi-scale Helmholtz decomposition. Reconstruction is based on energy minimization using covariant derivatives exploiting prior knowledge about the motion field. The method is tested on cardiac motion images. Experiments on phantom data show that both covariant derivatives and multi-scale Helmholtz decomposition improve motion field reconstruction.