Fast tetrahedral mesh generation and segmentation of an atlas-based heart model using a periodic uniform grid

References

[1] H. J. Arevalo, P. M. Boyle and N. A. Trayanova, Computational rabbit models to investigate the initiation, perpetuation, and termination of ventricular arrhythmia. Progress Biophys. Molecul. Biology 112 (2016), No. 2, 185-194.10.1016/j.pbiomolbio.2016.06.004Suche in Google Scholar

[2] O. V. Aslanidi, T. Nikolaidou, J. Zhao, B. H. Smaill, S. H. Gilbert, A. V. Holden, T. Lowe, P. J. Withers, R. S. Stephenson, J. C. Jarvis, J. C. Hancox, M. R. Boyett, and H. Zhang, Application of micro-computed tomography with iodine staining to cardiac imaging, segmentation, and computational model development. IEEE Trans. Medical Imaging 32 (2013), No. 1, 8-17.10.1109/TMI.2012.2209183Suche in Google Scholar

[3] R. Bordas, K. Gillow, Q. Lou, I. R. Efimov, D. Gavaghan, P. Kohl, V. Grau, and B. Rodriguez, Rabbit-specific ventricular model of cardiac electrophysiological function including specialized conduction system. Progress Biophys. Molecul. Biology 107 (2011), No. 1, 90-100.10.1016/j.pbiomolbio.2011.05.002Suche in Google Scholar

[4] D. Deng, P. Jiao, X. Ye, and L. Xia, An image-based model of the whole human heart with detailed anatomical structure and fiber orientation. Comp. Math. Methods Medicine (2012). Article ID 891070, 16p.10.1155/2012/891070Suche in Google Scholar

[5] P. C. Franzone, L. Guerri, M. Pennacchio, and B. Taccardi, Spread of excitation in 3D models of the anisotropic cardiac tissue. II. Effects of fiber architecture and ventricular geometry. Math. Biosciences 147 (1998), No. 2, 131-71.10.1016/S0025-5564(97)00093-XSuche in Google Scholar

[6] P. J. Frey and P.-L. George, Mesh Generation: Applications to Finite Elements. Hermes Science Publishing, Oxford-Paris, 2000.Suche in Google Scholar

[7] M. Kremer, D. Bommes, and L. Kobbelt, OpenVolumeMesh-a versatile index-based data structure for 3D polytopal complexes. Proc. 21st Int. Meshing Roundtable (2013), 531-548.10.1007/978-3-642-33573-0_31Suche in Google Scholar

[8] P. Lamata, M. Sinclair, E. Kerfoot, A. Lee, A. Crozier, B. Blazevic, S. Land, A. J. Lewandowski, D. Barber, S. Niederer, and N. Smith, An automatic service for the personalization of ventricular cardiac meshes. J. Royal Society Interface 91(2013), No. 11, 62-72.10.1098/rsif.2013.1023Suche in Google Scholar PubMed PubMed Central

[9] A. Lopez-Perez, R. Sebastian, and J. M. Ferrero, Three-dimensional cardiac computational modelling: methods, features and applications. Biomed. Engrg. Online 14 (2015), Art. 35.10.1186/s12938-015-0033-5Suche in Google Scholar PubMed PubMed Central

[10] M. Plotkowiak, B. Rodriguez, G. Plank, J. E. Schneider, D. Gavaghan, P. Kohl, and V. Grau, High performance computer simulations of cardiac electrical function based on high resolution MRI datasets. Computational Science – ICCS 2008. pp. 571-580.10.1007/978-3-540-69384-0_62Suche in Google Scholar

[11] J. Schöberl, NETGEN—an advancing front 2D/3D-mesh generator based on abstract rules. Comput. Visualiz. Science 1997, 41-52.10.1007/s007910050004Suche in Google Scholar

[12] M. Sermesant, P. Moireau, O. Camara, J. Sainte-Marie, R. Andriantsimiavona, R. Cimrman, D. L. Hill, D. Chapelle, and R. Razavi, Cardiac function estimation from MRI using a heart model and data assimilation: advances and difficulties. Medical Image Analysis 10 (2006), No. 4, 642-656.10.1016/j.media.2006.04.002Suche in Google Scholar PubMed

[13] H. Si, TetGen, a Delaunay-based quality tetrahedral mesh generator. ACM Trans. Math. Software 41 (2015), No. 2, Article 11, 36 p.10.1145/2629697Suche in Google Scholar

[14] C. Simpson, C. D. Ernst, P. Knupp, P. P. Pe´bay, and D. C. Thompson, The Verdict Library Reference Manual. Sandia National Laboratories, April 2007.Suche in Google Scholar

[15] F. A. Syomin and A. K. Tsaturyan, Mechanical model of the left ventricle of the heart approximated by axisymmetric geometry. Russ. J. Numer. Anal. Math. Modelling 32 (2017), No. 5, 275-291.10.1515/rnam-2017-0031Suche in Google Scholar

[16] Yu. V. Vassilevski and K. N. Lipnikov, An adaptive algorithm for quasioptimal mesh generation. Comput. Math. Math. Phys. 39 (1999), No. 9, 1468-1486.Suche in Google Scholar

[17] P. S. Vassilevski, Sparse matrix element topology with application to AMG(e) and preconditioning. Numer. Linear Algebra Appl. (2002), No. 9, 429-444.10.1002/nla.300Suche in Google Scholar

[18] H. N. G. Wadley, Multifunctional periodic cellular metals. Phil. Trans. R. Soc. A 364 (2005), 31-68.10.1098/rsta.2005.1697Suche in Google Scholar PubMed

[19] Y. Zhang, Tetrahedral/hexahedral finite element meshing from volumetric imaging data: proposal for a dissertation. Inst. Comput. Engrg Sci. The Univ. Texas at Austin (USA), 2003. Suche in Google Scholar

[20] Y. Zhang and C. Bajaj, Adaptive and quality quadrilateral/hexahedral meshing from volumetric data. Computer Methods Appl. Mech. Engrg. (CMAME) 195 (2006), No. 9-12, 942-960.10.1016/j.cma.2005.02.016Suche in Google Scholar PubMed PubMed Central