Medical Image Analysis
Volume 14, Issue 3 , Pages 303-317 , June 2010

A fast and robust patient specific Finite Element mesh registration technique: Application to 60 clinical cases

  • Marek Bucki

      Affiliations

    • TIMC-IMAG Laboratory, UMR CNRS 5525, University Joseph Fourier, 38706 La Tronche, France
    • Corresponding Author InformationCorresponding author.
    • ,
  • Claudio Lobos

      Affiliations

    • Departamento de Informática, Universidad Técnica Federico Santa María, Av. Vicuña Mackenna 3939, Zip 8940897, San Joaquín, Santiago, Chile
    • ,
  • Yohan Payan

      Affiliations

    • TIMC-IMAG Laboratory, UMR CNRS 5525, University Joseph Fourier, 38706 La Tronche, France
    • PIMS-Europe, UMI CNRS 3069, 200-1933 West Mall, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Received 4 June 2009 ,Revised 3 February 2010 ,Accepted 4 February 2010.

References 

  1. Alliez P, Cohen-Steiner D, Yvinec M, Desbrun M. Variational tetrahedral meshing. ACM Transactions on Graphics. 2005;24:617–625
  2. Beg MF, Miller MI, Trouve A, Younes L. Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Internatioal Journal of Computer Vision. 2005;61:139–157
  3. Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Wiley; 2006;
  4. Benzley, S.E., Perry, E., Merkley, K., Clark, B., Sjaardema, G.D., 1995. A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In: Proceedings of the 4th International Meshing Roundtable, pp. 179–191.
  5. Besl PJ, McKay ND. A method for registration of 3d shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence. 1992;14:239–254
  6. Castellano-Smith A, Hartkens T, Schnabel J, Hose D, Liu H, Hall W, et al. Constructing patient specific models for correcting intraoperative brain deformation. Lecture Notes in Computer Science. 2001;2208:1091–1098
  7. Chabanas M, Payan Y. A 3d finite element model of the face for simulation in plastic and maxillo-facial surgery. Lecture Notes in Computer Science. 2000;1935:1068–1075
  8. Chabanas M, Marécaux C, Payan Y, Boutault F. Models for planning and simulation in computer assisted orthognatic surgery. Lecture Notes in Computer Science. 2002;2489:315–322
  9. Chabanas M, Luboz V, Payan Y. Patient specific finite element model of the face soft tissue for computer-assisted maxillofacial surgery. Medical Image Analysis. 2003;7:131–151
  10. Couteau B, Hobatho M, Darmana R, Brignola J, Arlaud J. Finite element modelling of the vibrational behaviour of the human femur using CT-based individualized geometrical and material properties. Journal of Biomechanics. 1998;31:383–386
  11. Couteau B, Payan Y, Lavallée S. The mesh-matching algorithm: an automatic 3d mesh generator for finite element structures. Journal of Biomechanics. 2000;33:1005–1009
  12. Field DA. Qualitative measures for initial meshes. International Journal for Numerical Methods in Engineering. 2000;47:887–906
  13. Frey P. Generation and adaptation of computational surface meshes from discrete anatomical data. International Journal for Numerical Methods in Engineering. 2004;60:1049–1074
  14. George PL, Borouchaki H, Laug PL. An efficient algorithm for 3d adaptive meshing. Advances in Engineering Software. 2002;33:377–387
  15. Gibson A, Riley J, Schweiger M, Hebden J, Arridge S, Delpy D. A method for generating patient-specific finite element meshes for head modelling. Physics in Medicine and Biology. 2003;48:481–495
  16. Grosland NM, Bafna R, Magnotta VA. Automated hexahedral meshing of anatomic structures using deformable registration. Computer Methods in Biomechanics and Biomedical Engineering. 2009;12:35–43
  17. Hughes T. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications; 1987;
  18. Huiskes H. Stress analyses of implanted orthopaedic joint prostheses for optimal design and fixation. Acta Orthopaedica Belgica. 1980;46:711–727
  19. Jaspers P, De Lange A, Huiskes H, Van Rens T. The mechanical function of the meniscus experiments on cadaveric pig knee-joint. Acta Orthopaedica Belgica. 1980;46:663–668
  20. Kelly, S., 1998. Element shape testing. In: Ansys Theory Reference, ninth ed. (Chapter 13).
  21. Knupp P. Achieving finite element mesh quality via optimization of the jacobian matrix norm and associated quantities. Part II – a framework for volume mesh optimization and the condition number of the jacobian matrix. International Journal for Numerical Methods in Engineering. 2000;48:1165–1185
  22. Kwok, W., Chen, Z., 2000. A simple and effective mesh quality metric for hexahedral and wedge elements. In: Proceedings of the 9th International Meshing Roundtable, pp. 325–333.
  23. Lengsfeld M, Burchard R, Gunther D, Pressel T, Schmitt J, Leppek R, et al. Femoral strain changes after total hip arthroplasty – patient-specific finite element analyses 12 years after operation. Medical Engineering and Physics. 2005;27:649–654
  24. Liao S, Tong R, Wang M, Dong J. Rapidly generate lumbar spine volume mesh. In: Ninth International Conference on Computer Aided Design and Computer Graphics. IEEE Computer Society; 2005;p. 345–350
  25. Luboz V, Pedrono A, Ambard D, Boutault F, Payan Y, Swider P. Prediction of tissue decompression in orbital surgery. Clinical Biomechanics. 2004;19:202–208
  26. Luboz V, Chabanas M, Swider P, Payan Y. Orbital and maxillofacial computer aided surgery: patient-specific finite element models to predict surgical outcomes. Computer Methods in Biomechanics and Biomedical Engineering. 2005;8:259–265
  27. Molino N, Bridson R, Teran J, Fedkiw R. A crystalline, red green strategy for meshing highly deformable objects with tetrahedra. In: Proceedings of the 12th International Meshing Roundtable, Sandia National Laboratories. Springer-Verlag; 2003;p. 103–114
  28. Nazari, M., Payan, Y., Perrier, P., Chabanas, M., Lobos, C., 2008. A continuous biomechanical model of the face: a study of muscle coordinations for speech lip gestures. In: Proceedings of the 8th International Seminar on Speech Production – ISSP’08, pp. 321–324.
  29. Press WH, Teukolsky SA, Vetterling WT, Flanery BP. Numerical Recipes in C. Cambridge University Press; 1992;
  30. Robinson J, Haggenmacher GW. Element warning diagnostics. Finite Element News. 1982;
  31. Rueckert D, Aljabar P, Heckemann RA, Hajnal JV, Hammers A. Diffeomorphic registration using b-splines. Medical Image Computing and Computer-Assisted Intervention MICCAI. 2006;702–709
  32. Saito T, Toriwaki J. New algorithms for euclidean distance transformations of an n-dimensional digitized picture with applications. Pattern Recognition. 1994;27:1551–1565
  33. Shewchuk J. What is a good linear element? Interpolation, conditioning, and quality measures. In: Proceedings of the 11 International Meshing Roundtable, Sandia National Laboratories. Springer-Verlag; 2002;p. 115–126
  34. Shim V, Pitto R, Streicher R, Hunter P, Anderson I. The use of sparse CT datasets for auto-generating accurate fe models of the femur and pelvis. Journal of Biomechanics. 2007;40:26–35
  35. Si, H., 2006. On refinement of constrained delaunay tetrahedralizations. In: Proceedings of the 15th International Meshing Roundtable, pp. 509–528.
  36. Si, H., Gaertner, K., 2005. Meshing piecewise linear complexes by constrained delaunay tetrahedralizations. In: Proceedings of the 14th International Meshing Roundtable, pp. 147–163.
  37. Sigal IA, Hardisty MR, Whyne CM. Mesh-morphing algorithms for specimen-specific finite element modelling. Journal of Biomechanics. 2008;41:1381–1389
  38. Taddei F, Pancanti A, Viceconti M. An improved method for the automatic mapping of computed tomography numbers onto finite element models. Medical Engineering and Physics. 2004;26:61–69
  39. Tilotta, F., 2008. Contribution à la reconstitution faciale en médecine légale: proposition d’une nouvelle méthode statistique. Ph.D. thesis, Université Paris Sud 11, France (2/7/08).
  40. Vercauteren T, Pennec X, Perchant A, Ayache N. Non-parametric diffeomorphic image registration with the demons algorithm. Proceedings of Medical Image Computing and Computer-Assisted Intervention MICCAI. 2007;4792:319–326
  41. Viceconti M, Davinelli M, Taddei F, Cappello A. Automatic generation of accurate subject-specific bone finite element models to be used in clinical studies. Journal of Biomechanics. 2004;37:1597–1605
  42. Wittek A, Miller K, Kikinis R, Warfield SK. Patient-specific model of brain deformation: application to medical image registration. Journal of Biomechanics. 2007;40:919–929
  43. Zalzal P, Papini M, Backstein D, Gross AE. Anterior femoral notching during total knee arthroplasty: a finite element analysis. Journal of Bone and Joint Surgery, British. 2008;90-B:

PII: S1361-8415(10)00018-6

doi: 10.1016/j.media.2010.02.003

Medical Image Analysis
Volume 14, Issue 3 , Pages 303-317 , June 2010

Article Tools

* Image Usage & Resolution