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
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)
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)
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)
Wang, H., Amini, A.A.: Cardiac motion and deformation recovery from MRI: A review. IEEE Transactions on Medical Imaging 31, 487–503 (2012)
Bankman, I.N. (ed.): Handbook of Medical Image Processing and Analysis. Elsevier, Academic Press (2008)
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)
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)
McInerney, T., Terzopoulos, D.: Deformable models in medical image analysis: A survey. Medical Image Analysis 1, 91–108 (1996)
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)
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)
Weruaga, L., Verdú, R., Morales, J.: Frequency domain formulation of active parametric deformable models. IEEE Trans. Pattern Analysis Machine Intelligence 26, 1568–1578 (2004)
Liang, J., McInerney, T., Terzopoulos, D.: United snakes. Medical Image Analysis 10, 215–233 (2006)
Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active contour models. Int. Journal of Computer Vision 1, 321–331 (1988)
Zienkiewicz, O.C., Taylor, R.L. (eds.): The Finite Element Method: Its Basis and Fundamentals. Elsevier: Butterworth-Heinemann (2005)
Ern, A., Guermond, J. (eds.): Theory and practice of finite elements. Springer (2004)
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)
Berenguer-Vidal, R., Verdú-Monedero, R., Morales-Sánchez, J.: Convergence analysis of multidimensional parametric deformable models. Computer Vision and Image Understanding (2015)
Verdú-Monedero, R., Morales-Sánchez, J., Weruaga, L.: Convergence analysis of active contours. Image and Vision Computing 26, 1118–1128 (2008)
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)
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)
Serra, J.: Image Analysis and Mathematical Morphology: Theoretical Advances, vol. II. Academic Press, London (1988)
Soille, P.: Morphological Image Analysis. Springer (1999)
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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
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