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)

1 Downloads (Pure)

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
Subtitle of host publication	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
Number of pages	11
ISBN (Electronic)	978-3-642-28326-0
ISBN (Print)	978-3-642-28325-3
DOIs	https://doi.org/10.1007/978-3-642-28326-0_27
Publication status	Published - 2012
Event	2nd International Workshop on Statistical Atlases and Computational Models of the Heart (STACOM 2011) - Toronto, Canada Duration: 22 Sept 2011 → 22 Sept 2011 Conference number: 2

Publication series

Name	Lecture Notes in Computer Science (LNCS)
Volume	7085
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	2nd International Workshop on Statistical Atlases and Computational Models of the Heart (STACOM 2011)
Abbreviated title	STACOM 2011
Country/Territory	Canada
City	Toronto
Period	22/09/11 → 22/09/11
Other	Workshop held in conjunction with the 14th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2011)

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

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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 (LNCS); Vol. 7085). Springer. https://doi.org/10.1007/978-3-642-28326-0_27

Becciu, A. ; Duits, R. ; Janssen, B.J et al. / 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 (LNCS)).

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title = "Cardiac motion estimation using covariant derivatives and Helmholtz decomposition",

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.",

year = "2012",

doi = "10.1007/978-3-642-28326-0_27",

language = "English",

isbn = "978-3-642-28325-3",

series = "Lecture Notes in Computer Science (LNCS)",

publisher = "Springer",

pages = "263--273",

editor = "O. Camara and E. Konukoglu and M. Pop and K. Rhode and M. Sermesant and A. Young",

booktitle = "Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges",

address = "Germany",

note = "2nd International Workshop on Statistical Atlases and Computational Models of the Heart (STACOM 2011), STACOM 2011 ; Conference date: 22-09-2011 Through 22-09-2011",

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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 (LNCS), vol. 7085, Springer, Berlin, pp. 263-273, 2nd International Workshop on Statistical Atlases and Computational Models of the Heart (STACOM 2011), Toronto, Ontario, Canada, 22/09/11. 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 et al.
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 (LNCS); Vol. 7085).

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

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AU - Duits, R.

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AU - Assen, van, H.C.

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N2 - 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.

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

M3 - Conference contribution

SN - 978-3-642-28325-3

T3 - Lecture Notes in Computer Science (LNCS)

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EP - 273

BT - Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges

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A2 - Rhode, K.

A2 - Sermesant, M.

A2 - Young, A.

PB - Springer

CY - Berlin

T2 - 2nd International Workshop on Statistical Atlases and Computational Models of the Heart (STACOM 2011)

Y2 - 22 September 2011 through 22 September 2011

ER -

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 (LNCS)). doi: 10.1007/978-3-642-28326-0_27

Cardiac motion estimation using covariant derivatives and Helmholtz decomposition

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