Abstract
Nowadays, when it comes to generation of patient-specific Finite Element model, there are two main alternatives. On the one hand, it is possible to generate geometrical models through segmentation, whereupon FE models would be obtained using standard mesh generators. On the other hand, we can create a Cartesian grid of uniform hexahedra in which the elements fit each pixel/voxel perfectly. In both cases, geometries will take part during the analysis either as complete models, in the first case, or as auxiliary entities, to apply boundary conditions properly for instance, in the second case. In any case, once the geometrical entities have been obtained from the medical image, the efficient generation of an accurate Finite Element model for numerical simulation in not trivial. The aim of this paper is to propose an efficient integration strategy, using Cartesian meshes, of 3D geometries defined by parametric surfaces, i.e. NURBS, obtained from medical images.
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References
Nadal, E., Ródenas, J.J., Albelda, J., Tur, M., Tarancón, J.E., Fuenmayor, F.J.: Efficient Finite Element Methodology based on Cartesian grids: Application to structural shape optimization. Abstract and Applied Analysis (2013)
Giovannelli, L., Marco, O., Navarro, J.M., Giner, E., Ródenas, J.J.: Direct Creation of Finite Element Models from Medical Images using Cartesian Grids. In: Proceedings of IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing, VipIMAGE (2013)
Cottrell, J.A., Hughes, T.J.R., Bazilevs, Y.: Isogeometric Analysis: Toward Integration of CAD and FEA Wiley (2009)
Sevilla, R., Fernández, S., Huerta, A.A.: NURBS-Enhanced Finite Element Method (NEFEM): a Seamless Bridge Between CAD and FEM. Archives of Computational Methods in Engineering 18(4), 441–484 (2011)
Ródenas, J.J., Giovannelli, L., Nadal, E., Navarro, J.M., Tur, M.: Creation of Patient Specific Finite Element Models of Bone-Prosthesis. Simulation of the Effect of Future Implants. In: Proceedings of IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing, VipIMAGE (2013)
Lorensen, W.E., Cline, H.E.: Marching Cubes: A High Resolution 3D Surface Construction Algorithm. Computer Graphics 21(4), 163–169 (1987)
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© 2014 Springer International Publishing Switzerland
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Marco, O., Sevilla, R., Ródenas, J.J., Tur, M. (2014). Numerical Simulation from Medical Images: Accurate Integration by Means of the Cartesian Grid Finite Element Method. In: Zhang, Y.J., Tavares, J.M.R.S. (eds) Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. CompIMAGE 2014. Lecture Notes in Computer Science, vol 8641. Springer, Cham. https://doi.org/10.1007/978-3-319-09994-1_24
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DOI: https://doi.org/10.1007/978-3-319-09994-1_24
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09993-4
Online ISBN: 978-3-319-09994-1
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