Parametric morphing of subject-specific NURBS models for Human Proximal Femurs Subject to Femoral Functions

해부학적 기능을 고려한 환자맞춤형 근위대퇴골 모델의 파라메트릭 변형 방안

  • Received : 2011.07.25
  • Accepted : 2011.11.02
  • Published : 2011.12.01

Abstract

The morphology of a bone is closely associated with its biomechanical response. Thus, much research has been focused on analyzing the effects of variation of bone morphology with subject-specific models. Subject-specific models, which are generally achieved from 3D imaging devices like CT and MRI, incorporate more of the detailed information that makes a model unique. Hence, it may predict individual responses more accurately. Despite these powerful characteristics, specific models are not easily parameterized to the extent possible with statistical models because of their morphologic complexities. Thus, it is still proven challenging to analyze morphologic variations of subject-specific models across changes due to aging or disease. The aim of this article is to propose a generic and robust parametric morphing method for a subject-specific bone structure. We demonstrate this by using the proposed method on a model of a human proximal femur. Automatic segmentation algorithms are also presented to parameterize the specific model efficiently. A total of 48 femur models were evaluated for defining morphing vector fields. Also, several anatomical and mechanical functions of femur were considered as morphing constraints, and the NURBS interpolating technique was applied in the method to guarantee the generality of our morphed results.

Keywords

References

  1. Zhang, F., Tan, L. J., Lei, S. -F. and Deng, H. -W., "The differences of femoral neck geometric parameters: effects of age, gender and race," Osteoporos Int., Vol. 21 No. 7, pp. 1205-1214, 2010. https://doi.org/10.1007/s00198-009-1057-0
  2. Sigal, Ian A., Yang, H., Roberts, Michael D. and Crawford Downs J., "Morphing methods to parameterize specimen-specific finite element model geometries," J. Biomech, Vol. 43, No. 2, pp. 1-17, 2010. https://doi.org/10.1016/j.jbiomech.2009.09.001
  3. Koivumaki, J. E., Thevenot, J., Pulkkinen, P., Salmi, J. A., Kuhn, V., Lochmuller, E. M., Link, T. M., Eckstein, F. and Jamsa T., "Does femoral strain distribution coincide with the occurrence of cervical versus trochanteric hip fractures? An experimental finite element study," Medical & Biological engineering & Computing, Vol. 48, No. 7, pp. 711-717, 2010. https://doi.org/10.1007/s11517-010-0622-1
  4. Wirtz, D.C., Schiffers, N., Pandorf, T., Radermacher, K., Weichert, D. and Forst, R., "Critical Evaluation of Known Bone Material Properties to Realize Anisotropic FE-simulation of the Proximal Femur," Journal of Biomechanics, Vol.33, pp.1325-1330, 2000. https://doi.org/10.1016/S0021-9290(00)00069-5
  5. Bryan, R., Mohan, P. S., Hopkins, A., Galloway, F. Taylor, M. and Nair, P. B. "Statistical modelling of the whole human femur incorporating geometric and material properties," Medical Engineering & Physics, Vol. 32, pp. 57-65, 2010. https://doi.org/10.1016/j.medengphy.2009.10.008
  6. Schumann, S., Tannast, M., Nolte, L. -P. and Zheng, G., "Validation of statistical shape model based reconstruction of the proximal femur-A morphology study," Medical Engineering & Physics, Vol. 32, pp. 638-644, 2010. https://doi.org/10.1016/j.medengphy.2010.03.010
  7. Mahaisavariya, B., Sitthiseripratip, K., Tongdee, T., Bohez, L. J. E., Sloten, J. V. and Oris, P., "Morphological study of the proximal femur: a new method of geometrical assessment using 3-dimensional reverse engineering," Medical Engineering & Physics, Vol. 24, pp. 617-622, 2002. https://doi.org/10.1016/S1350-4533(02)00113-3
  8. Viceconti M., Davinelli M., Taddei F. and Cappello A., "Automatic generation of accurate subject-specific bone finite element models to be used in clinical studies," J Biomech, Vol. 37, No. 10, pp. 1597-605, 2004. https://doi.org/10.1016/j.jbiomech.2003.12.030
  9. Viceconti M. and Taddei F., "Automatic generation of finite element meshes from computed tomography data," Crit Rev Biomed Eng, Vol. 31, pp. 27-72. 2003. https://doi.org/10.1615/CritRevBiomedEng.v31.i12.20
  10. Stindel, E., Briard, J. L., Merloz, P., Plaweski, S., Dubrana, F., Lefevre, C. and Troccaz, J., "Bone morphing: 3D morphological data for total knee arthroplasty," Computer Aided Surgery, Vol. 7, pp. 156-168, 2002. https://doi.org/10.3109/10929080209146026
  11. Subburaj, K., Ravi, B. and Agarwal, M., "Automated identification of anatomical landmarks on 3D bone models reconstructed from CT scan images," Computerized Medical Imaging and Graphics, Vol. 33, pp. 359-368, 2009. https://doi.org/10.1016/j.compmedimag.2009.03.001
  12. Hu, S. -M., Li, Y. -F., Ju, T. and Zhu, X., "Modifying the shape of NURBS surfaces with geometric constraints," Computer-Aided Design, Vol. 33, pp. 903-912, 2001. https://doi.org/10.1016/S0010-4485(00)00115-9
  13. Jiang D. and Wang L., "An algorithm of NURBS surface fitting for reverse engineering," International Journal of Advance Manufac. Technol., Vol. 31, pp. 92-97, 2006. https://doi.org/10.1007/s00170-005-0161-3
  14. Shakarji, C. M., "Least-Squares Fitting Algorithms of the NIST Algorithm Testing System," Journal of Research of the National Institute of Standards and Technology, Vol. 103, No. 6, 11, 12, 1998.
  15. Schroeder, W., Martin, K. and Lorensen. B., "The Visualization Toolkit, An Object-Oriented Approach To 3D Graphics," Prentice Hall, 1996.
  16. Park, J. -M. and Im, G. -I., "The Correlations of the Radiological Parameters of Hip Dysplasia and Proximal Femoral Deformity in Clinically Normal Hips of a Korean Population," Clinics in Orthopedic Surgery, Vol. 3, pp. 121-127, 2011. https://doi.org/10.4055/cios.2011.3.2.121
  17. Donald, G. E., Joel, M. B., Victor, M. S., Karl, D. R., Michelle, M. B., Todd, H. B., David, R. and Stephen, H., "Three-Dimensional Morphology and Kinematics of the Distal Part of the Femur Viewed in Virtual Reality," J Bone Joint Surg Am, Vol. 85, pp. 97-104, 2003. https://doi.org/10.2106/00004623-200300004-00012
  18. Ying, M. Y. and Hewitt, W. T., "Point inversion and projection for NURBS curve and surface: Control polygon approach," Computer Aided Geometric Design, Vol. 20, pp. 79-99, 2003. https://doi.org/10.1016/S0167-8396(03)00021-9
  19. Piegl, L. "Modifying the shape of rational B-spline. Part 2: Surfaces," Computer Aided Design, Vol. 21, pp. 538-46, 1989. https://doi.org/10.1016/0010-4485(89)90014-6