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Dynamic Modelling of the Whole Heart Based on a Frequency Formulation and Implementation of Parametric Deformable Models

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Artificial Computation in Biology and Medicine (IWINAC 2015)

Abstract

In the past few years, numerous efforts have been devoted to the segmentation and characterization of the human heart from various medical image techniques. This paper addresses the first results of parametric deformable models defined in the Fourier domain as a tool to characterize the shape of the heart. The main advantage of these models is their high speed of adaptation to the dataset and their robustness against noise. In addition, due to their explicit parametric typology, different parameters of its dynamical behaviour can be derived from their mathematical expression. This article details the mathematical framework of deformable models defined in the frequency domain as well as the preprocessing and practical implementation of the model used in this application to model the cardiac cycle of the whole heart.

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References

  1. Zhong, J., Liu, W., Yu, X.: Characterization of three-dimensional myocardial deformation in the mouse heart: An MR tagging study. Journal of Magnetic Resonance Imaging 27, 1263–1270 (2008)

    Article  Google Scholar 

  2. Schaerer, J., Casta, C., Pousin, J., Clarysse, P.: A dynamic elastic model for segmentation and tracking of the heart in MR image sequences. Medical Image Analysis 14, 738–749 (2010)

    Article  Google Scholar 

  3. Constantinides, C., Aristokleous, N., Johnson, G.A., Perperides, D.: Static and dynamic cardiac modelling: Initial strides and results towards a quantitatively accurate mechanical heart model. In: 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp. 496–499. IEEE (2010)

    Google Scholar 

  4. Wang, H., Amini, A.A.: Cardiac motion and deformation recovery from MRI: A review. IEEE Transactions on Medical Imaging 31, 487–503 (2012)

    Article  Google Scholar 

  5. Bankman, I.N. (ed.): Handbook of Medical Image Processing and Analysis. Elsevier, Academic Press (2008)

    Google Scholar 

  6. El-Baz, A.S., Acharya, R., Mirmehdi, M., Suri, J.S. (eds.): Multi Modality State-Of-The-Art Medical Image Segmentation and Registration Methodologies, vol. 1. Springer (2011)

    Google Scholar 

  7. Huang, J., Abendschein, D., Davila-Roman, V.G., Amini, A.A.: Spatio-temporal tracking of myocardial deformations with a 4-D B-spline model from tagged MRI. IEEE Transactions on Medical Imaging 18, 957–972 (1999)

    Article  Google Scholar 

  8. McInerney, T., Terzopoulos, D.: Deformable models in medical image analysis: A survey. Medical Image Analysis 1, 91–108 (1996)

    Article  Google Scholar 

  9. Deng, X., Denney, T.S.: Three-dimensional myocardial strain reconstruction from tagged MRI using a cylindrical B-spline model. IEEE Transactions on Medical Imaging 23, 861–867 (2004)

    Article  Google Scholar 

  10. Berenguer-Vidal, R., Verdú-Monedero, R., Morales-Sánchez, J.: Design of B-spline multidimensional deformable models in the frequency domain. Mathematical and Computer Modelling 57, 1942–1949 (2012)

    Article  Google Scholar 

  11. Weruaga, L., Verdú, R., Morales, J.: Frequency domain formulation of active parametric deformable models. IEEE Trans. Pattern Analysis Machine Intelligence 26, 1568–1578 (2004)

    Article  Google Scholar 

  12. Liang, J., McInerney, T., Terzopoulos, D.: United snakes. Medical Image Analysis 10, 215–233 (2006)

    Article  Google Scholar 

  13. Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active contour models. Int. Journal of Computer Vision 1, 321–331 (1988)

    Article  Google Scholar 

  14. Zienkiewicz, O.C., Taylor, R.L. (eds.): The Finite Element Method: Its Basis and Fundamentals. Elsevier: Butterworth-Heinemann (2005)

    Google Scholar 

  15. Ern, A., Guermond, J. (eds.): Theory and practice of finite elements. Springer (2004)

    Google Scholar 

  16. Berenguer-Vidal, R., Verdú-Monedero, R., Menchón-Lara, R.-M., Legaz-Aparicio, Á.: Comparison of finite difference and B-spline deformable models in characterization of 3D data. In: Ferrández Vicente, J.M., Álvarez Sánchez, J.R., de la Paz López, F., Toledo Moreo, F. J. (eds.) IWINAC 2013, Part II. LNCS, vol. 7931, pp. 230–240. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  17. Berenguer-Vidal, R., Verdú-Monedero, R., Morales-Sánchez, J.: Convergence analysis of multidimensional parametric deformable models. Computer Vision and Image Understanding (2015)

    Google Scholar 

  18. Verdú-Monedero, R., Morales-Sánchez, J., Weruaga, L.: Convergence analysis of active contours. Image and Vision Computing 26, 1118–1128 (2008)

    Article  Google Scholar 

  19. Berenguer-Vidal, R.: Formulación de modelos deformables paramétricos multidimensionales en el dominio de la frecuencia. PhD thesis, Escuela Técnica Superior de Ingenieros de Telecomunicación, Universidad Politécnica de Cartagena (2013)

    Google Scholar 

  20. Unser, M., Aldroubi, A., Eden, M.: B-spline signal processing: Part I-theory; Part II-efficient design and applications. IEEE Trans. Signal Processing 41, 821–848 (1993)

    Article  MATH  Google Scholar 

  21. Serra, J.: Image Analysis and Mathematical Morphology: Theoretical Advances, vol. II. Academic Press, London (1988)

    Google Scholar 

  22. Soille, P.: Morphological Image Analysis. Springer (1999)

    Google Scholar 

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Correspondence to Rafael Berenguer-Vidal .

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Berenguer-Vidal, R., Verdú-Monedero, R., Legaz-Aparicio, ÁG. (2015). Dynamic Modelling of the Whole Heart Based on a Frequency Formulation and Implementation of Parametric Deformable Models. In: Ferrández Vicente, J., Álvarez-Sánchez, J., de la Paz López, F., Toledo-Moreo, F., Adeli, H. (eds) Artificial Computation in Biology and Medicine. IWINAC 2015. Lecture Notes in Computer Science(), vol 9107. Springer, Cham. https://doi.org/10.1007/978-3-319-18914-7_35

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  • DOI: https://doi.org/10.1007/978-3-319-18914-7_35

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18913-0

  • Online ISBN: 978-3-319-18914-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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