211
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Shape parametrization of bio-mechanical finite element models based on medical images

ORCID Icon, , , , , & show all
Pages 480-489 | Received 15 Dec 2017, Accepted 28 Feb 2018, Published online: 22 Mar 2018

References

  • Alliez P, Cohen-Steiner D, Yvinec M, Desbrun M. 2005. Variational tetrahedral meshing. In: ACM Transactions on Graphics (TOG). Vol. 24. New York (NY): ACM; p. 617–625.
  • Alpert N, Bradshaw J, Kennedy D, Correia J. 1990. The principal axes transformation -- a method for image registration. J Nucl Med. 31(10):1717–1722.
  • Baker TJ. 2002. Mesh movement and metamorphosis. Eng Comput. 18(3):188–198.
  • Beillas P, Berthet F. 2017. An investigation of human body model morphing for the assessment of abdomen responses to impact against a population of test subjects. Traffic Inj Prev. 18(1):142–147.
  • Belongie S, Malik J, Puzicha J. 2002. Shape matching and object recognition using shape contexts. IEEE Trans Pattern Anal Mach Intell. 24(4):509–522.
  • Besl PJ, McKay ND. 1992. A method for registration of 3-d shapes. IEEE Trans Pattern Anal Mach Intell. 14(2):239–256.
  • Boltcheva D, Bechmann D, Thery S. 2007. Discrete delaunay: boundary extraction from voxel objects. In: Sixth International Conference on 3-D Digital Imaging and Modeling, 2007.3DIM’07. Montreal, Quebec: IEEE; p. 209–216.
  • Bookstein FL. 1989. Principal warps: thin-plate splines and the decomposition of deformations. IEEE Trans Pattern Anal Mach Intell. 11(6):567–585.
  • Borzacchiello D, Aguado JV, Chinesta F. 2017. Non-intrusive sparse subspace learning for parametrized problems. Arch Comput Methods Eng:1–24.
  • Botev Z. 2017. The normal law under linear restrictions: simulation and estimation via minimax tilting. J R Stat Soc Ser B Stat Methodol. 79(1):125–148.
  • Bucki M, Lobos C, Payan Y. 2010. A fast and robust patient specific finite element mesh registration technique: application to 60 clinical cases. Med Image Anal. 14(3):303–317.
  • Bucki M, Lobos C, Payan Y, Hitschfeld N. 2011. Jacobian-based repair method for finite element meshes after registration. Eng Comput. 27(3):285–297.
  • Castellano-Smith AD, Hartkens T, Schnabel J, Hose DR, Liu H, Hall WA, Truwit CL, Hawkes DJ, Hill DL. 2001. Constructing patient specific models for correcting intraoperative brain deformation. In: International Conference on Medical Image Computing and Computer-Assisted Intervention. Utrecht, Netherlands: Springer; p. 1091–1098.
  • Chen Y, Medioni G. 1992. Object modelling by registration of multiple range images. Image Vis Comput. 10(3):145–155.
  • Chi Y, Liu J, Venkatesh SK, Huang S, Zhou J, Tian Q, Nowinski WL. 2011. Segmentation of liver vasculature from contrast enhanced CT images using context-based voting. IEEE Trans Biomed Eng. 58(8):2144–2153.
  • Couteau B, Payan Y, Lavallée S. 2000. The mesh-matching algorithm: an automatic 3d mesh generator for finite element structures. J Biomech. 33(8):1005–1009.
  • Dalal P, Munsell BC, Wang S, Tang J, Oliver K, Ninomiya H, Zhou X, Fujita H. 2007. A fast 3d correspondence method for statistical shape modeling. In: IEEE Conference on Computer Vision and Pattern Recognition, 2007. CVPR’07. Minneapolis: IEEE; p. 1–8.
  • Davies RH. 2002. Learning shape: optimal models for analysing natural variability [dissertation].
  • Dokládal P, Lohou C, Perroton L, Bertrand G. 1999. Liver blood vessels extraction by a 3-d topological approach. In: Medical Image Computing and Computer-Assisted Intervention-MICCAI’99. Cambridge: Springer; p. 98–105.
  • Frericks BB, Caldarone FC, Nashan B, Savellano DH, Stamm G, Kirchhoff TD, Shin HO, Schenk A, Selle D, Spindler W, et al. 2004. 3D CT modeling of hepatic vessel architecture and volume calculation in living donated liver transplantation. Eur Radiol. 14(2):326–333.
  • Geuzaine C, Remacle JF. 2009. Gmsh: A 3-d finite element mesh generator with built-in pre-and post-processing facilities. Int J Numer Methods Eng. 79(11):1309–1331.
  • Grosland NM, Bafna R, Magnotta VA. 2009. Automated hexahedral meshing of anatomic structures using deformable registration. Comput Methods Biomech Biomed Eng. 12(1):35–43.
  • Hazrati-Marangalou J. 2013. Database of femur samples. Available from: https://data.4tu.nl/repository/uuid:4ae59365-92f0-480b-a899-ade34bc84a00.
  • Heimann T, Meinzer HP. 2009. Statistical shape models for 3d medical image segmentation: a review. Med Image Anal. 13(4):543–563.
  • Hu J. 2018. Parametric human modeling. In: Yang K, editor. Basic finite element method as applied to injury biomechanics. Detroit (MI): Elsevier; p. 417–445.
  • Jolliffe IT. 2002. Principal component analysis. 2nd ed. New York (NY): Springer.
  • Kjer HM, Wilm J. 2010. Evaluation of surface registration algorithms for pet motion correction [dissertation]. Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark.
  • Lu YC, Kemper AR, Gayzik S, Untaroiu CD, Beillas P. 2013. Statistical modeling of human liver incorporating the variations in shape, size, and material properties. Stapp Car Crash J. 57:285–311.
  • Lu YC, Untaroiu CD. 2013. Statistical shape analysis of clavicular cortical bone with applications to the development of mean and boundary shape models. Comput Methods Prog Biomed. 111(3):613–628.
  • Lu YC, Untaroiu CD. 2014. A statistical geometrical description of the human liver for probabilistic occupant models. J Biomech. 47(15):3681–3688.
  • Malandain G, Bertrand G, Ayache N. 1993. Topological segmentation of discrete surfaces. Int J Comput Vis. 10(2):183–197.
  • Maurer CR, Fitzpatrick JM. 1993. A review of medical image registration. In: Maciunas RJ, editor. Interactive image-guided neurosurgery. Park ridge (IL): American Association of Neurological Surgeons; p. 17–44.
  • Shontz SM, Vavasis SA. 2003. A mesh warping algorithm based on weighted laplacian smoothing. In: Proceedings of 12th International Meshing Roundtable. Santa Fe, NM; p. 147–158.
  • Shontz SM, Vavasis SA. 2010. Analysis of and workarounds for element reversal for a finite element-based algorithm for warping triangular and tetrahedral meshes. BIT Numer Math. 50(4):863–884.
  • Shontz SM, Vavasis SA. 2012. A robust solution procedure for hyperelastic solids with large boundary deformation. Eng Comput. 28(2):135–147.
  • Sigal IA, Hardisty MR, Whyne CM. 2008. Mesh-morphing algorithms for specimen-specific finite element modeling. J Biomech. 41(7):1381–1389.
  • van de Giessen M, Foumani M, Streekstra GJ, Strackee SD, Maas M, van Vliet LJ, Grimbergen KA, Vos FM. 2010. Statistical descriptions of scaphoid and lunate bone shapes. J Biomech. 43(8):1463–1469.
  • Van De Giessen M, Smitsman N, Strackee SD, Van Vliet LJ, Grimbergen KA, Streekstra GJ, Vos FM. 2009. A statistical description of the articulating ulna surface for prosthesis design. In: IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2009. ISBI’09. Boston (MA): IEEE; p. 678–681.
  • Wang Y, Cao L, Bai Z, Reed MP, Rupp JD, Hoff CN, Hu J. 2016. A parametric ribcage geometry model accounting for variations among the adult population. J Biomechan. 49(13):2791–2798.
  • Weaver AA, Schoell SL, Stitzel JD. 2014. Morphometric analysis of variation in the ribs with age and sex. J Anat. 225(2):246–261.
  • Xu R, Zhou X, Hirano Y, Tachibana R, Hara T, Kido S, Fujita H. 2013. Particle system based adaptive sampling on spherical parameter space to improve the mdl method for construction of statistical shape models. Comput Math Methods Med. 2013:1–9.
  • Zhang K, Cao L, Fanta A, Reed MP, Neal M, Wang JT, Lin CH, Hu J. 2017. An automated method to morph finite element whole-body human models with a wide range of stature and body shape for both men and women. J Biomech. 60:253–260.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.