Advertisement

Geometric Modelling of Patient-Specific Hepatic Structures Using Cubic Hermite Elements

  • Harvey Ho
  • Adam Bartlett
  • Peter Hunter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7029)

Abstract

In this paper we use cubic Hermite elements to represent hepatic structures that are digitised from a computed tomography angiography (CTA) image. 1D, 2D and 3D linear elements are first created for hepatic vasculature, surface and parenchyma, respectively. Cubic Hermite elements are then generated by evaluating and updating the nodal derivatives of the corresponding linear elements. We show that the main features of the liver can be captured by a very small number of cubic Hermite elements (e.g., 55 elements for the liver volume), and propose potential applications of these elements in biomechanical modelling of the liver.

Keywords

Hepatic Artery Liver Surface Hermite Element Hepatic Vasculature Main Geometric Feature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Mutter, D., Dallemagne, B., Bailey, C., Soler, L., Marescaux, J.: 3D virtual reality and selective vascular control for laparoscopic left hepatic lobectomy. Surgical Endoscopy 23(2), 432–435 (2008)CrossRefGoogle Scholar
  2. 2.
    Marescaux, J., Rubino, F., Arenas, M., Mutter, D., Soler, L.: Augmented-Reality-Assisted laparoscopic adrenalectomy. Journal of the American Medical Association 292(18), 2214–2215 (2004)CrossRefGoogle Scholar
  3. 3.
    Hansen, C., Wieferich, J., Ritter, F., Rieder, C., Peitgen, H.: Illustrative visualization of 3D planning models for augmented reality in liver surgery. International Journal of Computer Assisted Radiology and Surgery 5(2), 133–141 (2010)CrossRefGoogle Scholar
  4. 4.
    Marescaux, J., Clément, J.M., Tassetti, V., Koehl, C., Cotin, S., Russier, Y., Mutter, D., Delingette, H., Ayache, N.: Virtual reality applied to hepatic surgery simulation: the next revolution. Annals of Surgery 228(5), 627–634 (1998)CrossRefGoogle Scholar
  5. 5.
    Esneault, S., Lafon, C., Dillenseger, J.: Liver vessels segmentation using a hybrid geometrical moments/graph cuts method. IEEE Transactions on Bio-Medical Engineering 57(2), 276–283 (2010)CrossRefGoogle Scholar
  6. 6.
    Cotin, S., Delingette, H., Ayache, N.: A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation. The Visual Computer 16(8), 437–452 (2000)zbMATHCrossRefGoogle Scholar
  7. 7.
    Bradley, C., Pullan, A., Hunter, P.: Geometric modeling of the human torso using cubic hermite elements. Annals of Biomedical Engineering 25(1), 96–111 (1997)CrossRefGoogle Scholar
  8. 8.
    Tank, P.W.: Grant’s Dissector. Lippincott Williams & Wilkins (2008)Google Scholar
  9. 9.
    Nash, M., Hunter, P.: Computational mechanics of the heart. Journal of Elasticity 61, 113–141 (2000)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Harvey Ho
    • 1
  • Adam Bartlett
    • 2
  • Peter Hunter
    • 1
  1. 1.Bioengineering InstituteUniversity of AucklandAucklandNew Zealand
  2. 2.Department of SurgeryUniversity of AucklandAucklandNew Zealand

Personalised recommendations