Deformation modeling based on mechanical properties of liver tissue for virtuanormal vectors of trianglesl surgical simulation

Int J Comput Assist Radiol Surg. 2021 Feb;16(2):253-267. doi: 10.1007/s11548-020-02297-7. Epub 2021 Jan 6.

Abstract

Purpose: In this paper, a method for rapidly constructing a virtual surgical simulation system is proposed. A deformation model based on the mechanical properties of the liver and a rapid collision detection between the surgical micro-instruments and the liver tissue are included in this method. The purpose of this work is to improve the accuracy and real time of particle model deformation interaction in virtual surgery system.

Methods: Firstly, a finite element model is established based on the constitutive model parameters of liver tissue. According to the simulation results, a mathematical model of node displacement is established. Secondly, the virtual liver is established based on the fast model reconstruction method, and the virtual manipulator is controlled by Geomagic Touch manipulator. Based on the hybrid bounding box, a rapid collision detection process between the instrument and liver is realized and the proposed deformation method is used to simulate the deformation of liver tissue.

Results: The simulation and experiment results show that the proposed deformation model can achieve high deformation interaction accuracy. The collision detection algorithm based on the hybrid bounding boxes can realize the collision between the liver and the instrument, and the established virtual surgical simulation system can simulate the liver tissue deformation in the case of small loading displacement.

Conclusions: The effectiveness of the collision detection algorithm and deformation model was verified by an established virtual surgery simulation system. The proposed rapid construction method of virtual surgical simulation is feasible.

Keywords: Collision detection; Deformation; Finite element model; Mechanical properties; Virtual surgical.

MeSH terms

  • Algorithms
  • Computer Simulation*
  • Finite Element Analysis
  • Humans
  • Liver / surgery*
  • Models, Biological
  • User-Computer Interface*