Abstract
We consider a new method to analyse deformation of the myocardial wall from tagging magnetic resonance images. The method exploits the fact that a regular pattern of stripe tags induces a time-dependent frequency covector field tightly coupled to the myocardial tissue and not affected by tag fading. The corresponding local frequency can be disambiguated with the help of the Gabor transform. The transformation of the tagging frequency covector field is governed by the deformation tensor field. Reversely, the deformation (and strain) tensor field can be retrieved from local frequency estimates given at least n (independent) tagging sequences, where n denotes spatial dimension. For the sake of illustration we consider the conventional case n = 2. Moreover, we make use of an overdetermined system by exploiting 4 instead of 2 tagging directions, which contributes to the robustness of the results. The method does not require explicit knowledge of material motion or tag line extraction. Displacement estimations are compared to HARP.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Zerhouni, E.A., Parish, D.M., Rogers, W.J., Yang, A., Shapiro, E.P.: Human heart: Tagging with MR imaging—a method for noninvasive assessment of myocardial motion. Radiology 169(1), 59–63 (1988)
Axel, L., Dougherty, L.: MR imaging of motion with spatial modulation of magnetization. Radiology 171(3), 841–845 (1989)
Götte, M.J., van Rossum, A.C., Twisk, J.W.R., Kuijer, J.P.A., Marcus, J.M., Visser, C.A.: Quantification of regional contractile function after infarction: Strain analysis superior to wall thickening analysis in discriminating infarct from remote myocardium. Journal of the American College of Cardiology 37, 808–817 (2001)
Qian, Z., Liu, Q., Metaxas, D., Axel, L.: Identifying regional cardiac abnormalities from myocardial strains using non-tracking-based strain estimation and spatio-temporal tensor analysis. IEEE Transactions on Medical Imaging 30(12), 2017–2029 (2011)
Florack, L., van Assen, H.: A new methodology for multiscale myocardial deformation and strain analysis based on tagging MRI. International Journal of Biomedical Imaging (2010), doi:10.1155/2010/341242
Smal, I., Carranza-Herrezuelo, N., Klein, S., Niessen, W., Meijering, E.: Quantitative comparison of tracking methods for motion analysis in tagged MRI. In: Proceedings of the 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2011, Chicago, Illinois, March 30 - April 2, 2011, pp. 345–348 (April 2011)
Gupta, S.N., Prince, J.L.: On variable brightness optical flow for tagged MRI. In: Bizais, Y. (ed.) Proceedings of the Fourteenth International Conference on Information Processing in Medical Imaging–IPMI 1995, Ile de Berder, France, pp. 323–334. Kluwer Academic Publishers, Dordrecht (1995)
Van Assen, H., Florack, L., Simonis, F., Westenberg, J., Strijkers, G.: Cardiac strain and rotation analysis using multi-scale optical flow. In: Wittek, A., Nielsen, P.M.F., Miller, K. (eds.) Computational Biomechanics for Medicine V, pp. 89–100. Springer (2010)
Garcia-Barnés, J., Gil, D., Pujadas, S., Carreras, F.: Variational framework for assessment of the left ventricle motion. Mathematical Modelling of Natural Phenomena 3(6), 76–100 (2008)
Osman, N.F., McVeigh, E.R., Prince, J.L.: Imaging heart motion using harmonic phase MRI. IEEE Transactions on Medical Imaging 19(3), 186–202 (2000)
Arts, T., Prinzen, F.W., Delhaas, T., Milles, J.R., Rossi, A.C., Clarysse, P.: Mapping displacement and deformation of the heart with local sine-wave modeling. IEEE Transactions on Medical Imaging 29(5) (May 2010)
Duits, R., Führ, H., Janssen, B., Bruurmijn, M., Florack, L., van Assen, H.: Evolution equations on Gabor transforms and their applications. Applied and Computational Harmonic Analysis (2012), doi:10.1016/j.acha.2012.11.007
Janssen, A.: The Zak transform: A signal transform for samples time-continuous signals. Philips Journal of Research 43(1), 23–69 (1988)
Haupt, P.: Continuum Mechanics and Theory of Materials. Springer, Berlin (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bruurmijn, L.C.M. et al. (2013). Myocardial Deformation from Local Frequency Estimation in Tagging MRI. In: Ourselin, S., Rueckert, D., Smith, N. (eds) Functional Imaging and Modeling of the Heart. FIMH 2013. Lecture Notes in Computer Science, vol 7945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38899-6_34
Download citation
DOI: https://doi.org/10.1007/978-3-642-38899-6_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38898-9
Online ISBN: 978-3-642-38899-6
eBook Packages: Computer ScienceComputer Science (R0)