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)


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.


Hepatic Artery Liver Surface Hermite Element Hepatic Vasculature Main Geometric Feature 
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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

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