3D XFEM-based modeling of retraction for preoperative image update

References

• Nabavi A, Black PM, Gering DT, Westin CF, Mehta V, Pergolizzi RS, Ferrant M, Warfield SK, Hata N, Schwartz RB, et al. Serial intraoperative magnetic resonance imaging of brain shift. Neurosurgery 2001; 48(4)787–798
   PubMed Web of Science ®Google Scholar
• Nimsky C, Ganslandt O, Hastreiter P, Fahlbusch R. Intraoperative compensation for brain shift. Surgical Neurol 2001; 56(6)357–365
   PubMed Web of Science ®Google Scholar
• Paulsen KD, Miga MI, Kennedy FE, Hoopens PJ, Hartov A, Roberts DW. A computational model for tracking subsurface tissue deformation during stereotactic neurosurgery. IEEE Trans Biomed Eng 1999; 46(2)213–225
   PubMed Web of Science ®Google Scholar
• Miga MI, Paulsen KD, Hoopes PJ, Kennedy FE, Hartov A, Roberts DW. In vivo quantification of a homogeneous brain deformation model for updating preoperative images during surgery. IEEE Trans Biomed Eng 2000; 47(2)266–273
   PubMed Web of Science ®Google Scholar
• Hagemann A, Rohr K, Stiehl HS. Coupling of fluid and elastic models for biomechanical simulations of brain deformations using FEM. Med Image Anal 2002; 6(4)375–388
   PubMed Web of Science ®Google Scholar
• Skrinjar O, Nabavi A, Duncan J. Model-driven brain shift compensation. Med Image Anal 2002; 6(4)361–373
   PubMed Web of Science ®Google Scholar
• Ferrant M, Nabavi A, Macq B, Kikinis R, Warfield SK. Serial registration of intra-operative MR images of the brain. Med Image Anal 2002; 6(4)337–359
   PubMed Web of Science ®Google Scholar
• Lunn KE, Paulsen KD, Roberts DW, Kennedy FE, Hartov A, West JD. Displacement estimation with co-registered ultrasound for image guided neurosurgery: A quantitative in vivo porcine study. IEEE Trans Med Imaging 2003; 22(11)1358–1368
   PubMed Web of Science ®Google Scholar
• Warfield SK, Haker SJ, Talos IF, Kemper CA, Weisenfeld N, Mewes AU, Goldberg-Zimring D, Zou KH, Westin CF, Wells WM, et al. Capturing intraoperative deformations: research experience at Brigham and Women's Hospital. Med Image Anal 2005; 9(2)145–162
   PubMed Web of Science ®Google Scholar
• Clatz O, Delingette H, Talos I-F, Golby AJ, Kikinis R, Jolesz FA, Ayache N, Warfield SK. Robust non-rigid registration to capture brain shift from intra-operative MRI. IEEE Trans Med Imaging 2005; 24(11)1417–1427
   PubMed Web of Science ®Google Scholar
• Wittek A, Miller K, Kikinis R, Warfield SK. Patient-specific model of brain deformation: Application to medical image registration. J Biomechanics 2007; 40(4)919–929
   PubMed Web of Science ®Google Scholar
• Songbai J, Hartov A, Robert D, Paulsen K. Data assimilation using a gradient descent method for estimation of intraoperative brain deformation. Med Image Anal 2009; 13(5)744–756
   PubMed Web of Science ®Google Scholar
• Kyriacou SK, Mohamed A, Miller K, Neff S. Brain mechanics for neurosurgery: Modeling issues. Biomechanics and Modeling in Mechanobiology 2002; 1(2)151–164
   PubMed Web of Science ®Google Scholar
• Cohen-Adad J, Paul P, Morandi X, Jannin P. Knowledge modeling in image guided neurosurgery: application in understanding intra-operative brain shift. In: Cleary KR, Galloway RL Jr. Proceedings of SPIE Medical Imaging 2006: Visualization, Image-Guided Procedures and Display, San Diego, CA, February 2006. Proc SPIE 2006;6141:709–716
   Google Scholar
• Miller K, Wittek A, Joldes G, Horton A, Dutta-Roy T, Berger J, Morriss L. Modelling brain deformations for computer-integrated neurosurgery. Int J Numer Methods Biomed Eng 2009; 26(1)117–138
   Web of Science ®Google Scholar
• Nienhuys HW, van der Stappen FA. A surgery simulation supporting cuts and finite element deformation. In: Niessen WJ, Viergever MA, editors. Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2001), Utrecht, The Netherlands, October 2001. Lecture Notes in Computer Science 2208. Berlin: Springer; 2001. pp 153–160
   Google Scholar
• Serby D, Harders M, Székely G. A new approach to cutting into finite element models. In: Niessen WJ and Viergever MA, editors. Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2001), Utrecht, The Netherlands, October 2001. Lecture Notes in Computer Science 2208. Berlin: Springer; 2001. pp 425–433
   Google Scholar
• Steinemann D, Harders MA, Gross M, Székely G. Hybrid cutting of deformable solids. In: Proceedings of the IEEE Computer Society Conference on Virtual Reality. Alexandria, VA, March 2006. pp 35–42
   Google Scholar
• Mor A, Kanade T. Modifying soft tissue models: Progressive cutting with minimal new element creation. In: Delp S, DiGioia AM, Jaramaz B, editors. Proceedings of the 3rd International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2000), Pittsburgh, PA, October 2000. Lecture Notes in Computer Science 1935. Berlin: Springer; 2000. pp 598–607
   Google Scholar
• Ganovelli F, Cignoni P, Montani C, Scopigno R. A multiresolution model for soft objects supporting interactive cuts and lacerations. Computer Graphics Forum 2000; 19(3)271–282
   Google Scholar
• Nienhuys HW. Cutting in deformable objects. PhD thesis, Institute for Information and Computing Sciences, University of Utrecht, The Netherlands, 2003
   Google Scholar
• Bielser D, Glardon P, Teschner M, Gross MH. A state machine for real-time cutting of tetrahedral meshes. Graphical Models 2004; 66(6)398–417
   Web of Science ®Google Scholar
• Duflot M, Nguyen-Dang H. A meshless method with enriched weight functions for fatigue crack growth. Int J Numer Methods Eng 2004; 59: 1945–1961
   Web of Science ®Google Scholar
• Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. Int J Numer Methods Eng 1999; 46: 131–150
   Web of Science ®Google Scholar
• Abdelaziz Y, Hamouine A. A survey of the extended finite element. Computers and Structures 2008; 86(11–12)1141–1151
   Google Scholar
• Vigneron LM, Duflot MP, Robe PA, Warfield SK, Verly JG. 2D XFEM-based modeling of retraction and successive resections for preoperative image update. Comput Aided Surg 2009; 14(1–3)1–20
   PubMed Web of Science ®Google Scholar
• Miga MI, Roberts DW, Kennedy FE, Platenik LA, Hartov A, Lunn KE, Paulsen KD. Modeling of retraction and resection for intraoperative updating of images. Neurosurgery 2001; 49(1)75–84
   PubMed Web of Science ®Google Scholar
• Platenik LA, Miga MI, Roberts DW, Lunn KE, Kennedy FE, Hartov A, Paulsen KD. In vivo quantification of retraction deformation modeling for update image-guidance during neurosurgery. IEEE Trans Biomed Eng 2002; 49(8)823–835
   PubMed Web of Science ®Google Scholar
• Platenik LA, Miga MI, Roberts DW, Kennedy FE, Hartov A, Lunn KE, Paulsen KD. Comparison of an incremental versus single-step retraction model for intraoperative compensation. Proceedings of SPIE Medical Imaging 2001: Visualization, Image-Guided Procedures and Display, San Diego, CA, February 2001. Proc SPIE 2001;4319:358–365
   Google Scholar
• Lamprich BK, Miga MI. Analysis of model-updated MR images to correct for brain deformation due to tissue retraction. Proceedings SPIE Medical Imaging 2003: Visualization, Image-Guided Procedures and Display, San Diego, CA, February 2003. Proc SPIE 2003;5029:552–560
   Google Scholar
• Lunn KE, Paulsen KD, Roberts DW, Kennedy FE, Hartov A, Platenik LA. Nonrigid brain registration: synthesizing full volume deformation fields from model basis solutions constrained by partial volume intraoperative data. Computer Vision and Image Understanding 2003; 89: 299–317
   Web of Science ®Google Scholar
• Sun H, Kennedy FE, Carlson EJ, Hartov A, Roberts DW, Paulsen KD. Modeling of brain tissue retraction using intraoperative data. In: Barillot C, Haynor DR, Hellier P, editors. Proceedings of the 7th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2004), Saint-Malo, France, September 2004. Part I. Lecture Notes in Computer Science 3216. Berlin: Springer; 2004. pp 225–233
   Google Scholar
• Jerabkova L, Kuhlen T. Stable cutting of deformable objects in virtual environments using xfem. IEEE Computer Graphics and Applications 2009; 29(2)61–71
   PubMed Web of Science ®Google Scholar
• Zienkiewicz OC, Taylor RL. The Finite Element Method. Butterworth-Heinemann, Oxford 2000
   Google Scholar
• Sukumar N, Prévost JH. Modeling quasi-static crack growth with the extended finite element method. Part I: Computer implementation. Int J Solids Structures 2003; 40(26)7513–7537
   Web of Science ®Google Scholar
• Dolbow JE. An extended finite element method with discontinuous enrichment for applied mechanics. PhD thesis, Northwestern University, Evanston, IL; 1999
   Google Scholar
• Sukumar N, Moës N, Belytschko T, Moran B. Extended finite element method for three-dimensional crack modelling. Int J Numer Methods Eng 2000; 48(11)1549–1570
   Web of Science ®Google Scholar
• Felippa CA. Introduction to Finite Element Method, http://www.colorado.edu/engineering/cas/courses.d/IFEM.d/
   Google Scholar
• Vigneron LM, Boman RC, Ponthot J-P, Robe PA, Warfield SK, Verly JG. Enhanced FEM-based modeling of brain shift deformation in image-guided neurosurgery. J Comput Appl Math 2010; 234: 2046–2053
   Web of Science ®Google Scholar
• Geuzaine C, Remacle J-F. Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int J Numer Methods Eng 2009; 79(11)1309–1331
   Web of Science ®Google Scholar
• Miller K, Wittek A. Neuroimage registration as displacement – zero traction problem of solid mechanics. Presentation at Workshop on Computational Biomechanics for Medicine at the 9th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2006), Copenhagen, Denmark, October 2006
   Google Scholar
• Kass M, Witkin A, Terzopoulos D. Snakes: Active contour models. Int J Comput Vision 1988; 1(4)321–331
   Web of Science ®Google Scholar
• Xu C, Pham DL, Prince JL. Medical image segmentation using deformable models. In: Sonka M, Fitzpatrick JM, editors. SPIE Handbook of Medical Imaging. Vol 2: Medical Image Processing and Analysis. SPIE; 2000. pp 129–174
   Google Scholar
• Ferrant M. Physics-based deformable modeling of volumes and surfaces for medical image registration, segmentation and visualization. PhD thesis, Université catholique de Louvain, Louvain-la-Neuve, Belgium; 2001
   Google Scholar
• Warfield SK, Talos F, Kemper C, Cosman E, Tei A, Ferrant M, Macq B, Wells WM, Black PM, Jolesz FA, Kikinis R. Augmenting intraoperative MRI with preoperative fMRI and DTI by biomechanical simulation of brain deformation. Proceedings of SPIE Medical Imaging 2003: Visualization, Image-Guided Procedures and Display, San Diego, CA, February 2003. Proc SPIE 2003;5029:79–86
   Google Scholar
• Dubuisson M-P, Jain AK. A modified Hausdorff distance for object matching. In: Proceedings of the 12th IAPR International Conference on Pattern Recognition, Jerusalem, Israel, October 1994. pp. 566–568
   Google Scholar