Abstract
The Extended Finite Element Method (XFEM) is a technique used in fracture mechanics to predict how objects deform as cracks form and propagate through them. Here, we propose the use of XFEM to model the deformations resulting from cutting through organ tissues. We show that XFEM has the potential for being the technique of choice for modelling tissue retraction and resection during surgery. Candidates applications are surgical simulators and image-guided surgery. A key feature of XFEM is that material discontinuities through FEM meshes can be handled without mesh adaptation or remeshing, as would be required in regular FEM. As a preliminary illustration, we show the result of XFEM calculation for a simple 2D shape in which a linear cut was made.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Balakrishnam, A., Kacher, D.F., Slocum, A., Kemper, C., Warfield, S.K.: Smart retractor for use in image guided neurosurgery. In: 2003 Summer Bioengineering Conference, Sonesta Beach Resort in Key Biscayne, Florida, June 25-29 (2003)
Bielser, D., Gross, M.H.: Interactive simulation of surgical cuts. In: Pacific Graphics 2000 IEEE Computer Society Press (ed.) Proceedings of Pacific Graphics 2000, Hong Kong, China, October 2-5, pp. 116–125 (2000)
Cotin, S., Delingette, H., Ayache, N.: A hybrid elastic model allowing real-time cutting, deformations and force-feedback for surgery training and simulation. The Visual Computer 16(8), 437–452 (2000)
Dolbow, J.E.: An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics, PhD Dissertation, Northwestern University (1999)
Ferrant, M.: Physics-based Deformable Modeling of Volumes and Surfaces for Medical Image Registration, Segmentation and Visualization. PhD thesis, Uni-versité catholique of Louvain, Telecommunications Laboratory, Louvain-la-Neuve, Belgium (April 2001)
Ferrant, G.M., Nabavi, A., Macq, B., Jolesz, F.A., Kikinis, R., Warfield, S.K.: Registration of 3D intraoperative MR images of the brain using a finite element biomechanical model. IEEE Trans. Medical Imaging 20(12), 1384–1397 (2001)
Ferrant, M., Nabavi, A., Macq, B., Kikinis, R., Warfield, S.: Serial registration of intra-operative MR images of the brain. Medical Image Analysis 6, 337–359 (2002)
Forest, C., Delingette, H., Ayache, N.: Cutting simulation of manifold volumetric meshes. In: Dohi, T., Kikinis, R. (eds.) MICCAI 2002. LNCS, vol. 2489, pp. 235–244. Springer, Heidelberg (2002)
Ganovelli, F., Cignoni, P., Montani, C., Scopigno, R.: A multiresolution model for soft objects supporting interactive cuts and lacerations. Computer Graphics Forum 19(3), 271–282 (2000)
Lamprich, B.K., Miga, M.I.: Analysis of model-updated MR images to correct for brain deformation due to tissue retraction. In: Medical Imaging 2003: Visualization, Image-guided Procedures and Display: Proc. of the SPIE, vol. 5029, pp. 552–560 (2003)
Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 46, 131–150 (1999)
Mor, A., Kanade, T.: Modifying soft tissue models: Progressive cutting with minimal new element creation. In: Delp, S.L., DiGoia, A.M., Jaramaz, B. (eds.) MICCAI 2000. LNCS, vol. 1935, pp. 598–607. Springer, Heidelberg (2000)
Nieuhuys, H.-W.: Cutting in deformable objects. PhD thesis, Institute for Information and Computing Sciences, Utrecht University (2003)
Nienhuys, H.-W., van der Stappen, A.F.: A surgery simulation supporting cuts and finite element deformation. In: Niessen, W.J., Viergever, M.A. (eds.) MICCAI 2001. LNCS, vol. 2208, pp. 153–160. Springer, Heidelberg (2001)
Serby, D., Harders, M., Székely, G.: A new approach to cutting into finite element models. In: Niessen, W.J., Viergever, M.A. (eds.) MICCAI 2001. LNCS, vol. 2208, pp. 425–433. Springer, Heidelberg (2001)
Sukumar, N., Moës, N., Belytschko, T., Moran, B.: Extended Finite Element Method for three-dimensional crack modelling. International Journal for Numerical Methods in Engineering 48(11), 1549–1570 (2000)
Sukumar, N., Prévost, J.-H.: Modeling Quasi-Static Crack Growth with the Extended Finite Element Method. Part I: Computer Implementation. International Journal of Sohds and Structures 40(26), 7513–7537 (2003)
Verly, J.G., Vigneron, L., Petitjean, N., Martin, C., Guran, R., Robe, P.: 3D nonrigid registration and multimodality fusion for image-guided neurosurgery. In: Fusion 2003, Proceedings of the 6th International Conference on Information Fusion, Cairns, Australia (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vigneron, L.M., Verly, J.G., Warfield, S.K. (2004). On Extended Finite Element Method (XFEM) for Modelling of Organ Deformations Associated with Surgical Cuts. In: Cotin, S., Metaxas, D. (eds) Medical Simulation. ISMS 2004. Lecture Notes in Computer Science, vol 3078. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25968-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-540-25968-8_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22186-9
Online ISBN: 978-3-540-25968-8
eBook Packages: Springer Book Archive