Cardiac motion estimation using covariant derivatives and Helmholtz decomposition

A. Becciu; R. Duits; B.J Janssen; L.M.J. Florack; B.M. Haar Romeny, ter; H.C. Assen, van

doi:10.1007/978-3-642-28326-0_27

Cardiac motion estimation using covariant derivatives and Helmholtz decomposition

A. Becciu, R. Duits, B.J Janssen, L.M.J. Florack, B.M. Haar Romeny, ter, H.C. Assen, van

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

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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.

Original language	English
Title of host publication	Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers)
Editors	O. Camara, E. Konukoglu, M. Pop, K. Rhode, M. Sermesant, A. Young
Place of Publication	Berlin
Publisher	Springer
Pages	263-273
ISBN (Print)	978-3-642-28325-3
DOIs	https://doi.org/10.1007/978-3-642-28326-0_27
Publication status	Published - 2012

Publication series

Name	Lecture Notes in Computer Science
Volume	7085
ISSN (Print)	0302-9743

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Becciu, A., Duits, R., Janssen, B. J., Florack, L. M. J., Haar Romeny, ter, B. M., & Assen, van, H. C. (2012). Cardiac motion estimation using covariant derivatives and Helmholtz decomposition. In O. Camara, E. Konukoglu, M. Pop, K. Rhode, M. Sermesant, & A. Young (Eds.), Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers) (pp. 263-273). (Lecture Notes in Computer Science; Vol. 7085). Berlin: Springer. https://doi.org/10.1007/978-3-642-28326-0_27

Becciu, A. ; Duits, R. ; Janssen, B.J ; Florack, L.M.J. ; Haar Romeny, ter, B.M. ; Assen, van, H.C. / Cardiac motion estimation using covariant derivatives and Helmholtz decomposition. Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers). editor / O. Camara ; E. Konukoglu ; M. Pop ; K. Rhode ; M. Sermesant ; A. Young. Berlin : Springer, 2012. pp. 263-273 (Lecture Notes in Computer Science).

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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.",

author = "A. Becciu and R. Duits and B.J Janssen and L.M.J. Florack and {Haar Romeny, ter}, B.M. and {Assen, van}, H.C.",

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Becciu, A, Duits, R, Janssen, BJ, Florack, LMJ , Haar Romeny, ter, BM & Assen, van, HC 2012, Cardiac motion estimation using covariant derivatives and Helmholtz decomposition. in O Camara, E Konukoglu, M Pop, K Rhode, M Sermesant & A Young (eds), Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers). Lecture Notes in Computer Science, vol. 7085, Springer, Berlin, pp. 263-273. https://doi.org/10.1007/978-3-642-28326-0_27

Cardiac motion estimation using covariant derivatives and Helmholtz decomposition. / Becciu, A.; Duits, R.; Janssen, B.J; Florack, L.M.J.; Haar Romeny, ter, B.M.; Assen, van, H.C.

Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers). ed. / O. Camara; E. Konukoglu; M. Pop; K. Rhode; M. Sermesant; A. Young. Berlin : Springer, 2012. p. 263-273 (Lecture Notes in Computer Science; Vol. 7085).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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BT - Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers)

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Becciu A, Duits R, Janssen BJ, Florack LMJ , Haar Romeny, ter BM, Assen, van HC. Cardiac motion estimation using covariant derivatives and Helmholtz decomposition. In Camara O, Konukoglu E, Pop M, Rhode K, Sermesant M, Young A, editors, Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Second International Workshop, STACOM 2011, Held in Conjunction with MICCAI 2011, Toronto, ON, Canada, September 22, 2011, Revised Selected Papers). Berlin: Springer. 2012. p. 263-273. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-642-28326-0_27

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10.1007/978-3-642-28326-0_27