Open Access

ARTICLE

Soft Tissue Deformation Model Based on Marquardt Algorithm and Enrichment Function

Xiaorui Zhang^1,2,*, Xuefeng Yu¹, Wei Sun², Aiguo Song³
1 Jiangsu Engineering Center of Network Monitoring, Engineering Research Center of Digital Forensics, Ministry of Education, School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing, 210044, China
2 Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing University of Information Science & Technology, Nanjing, 210044, China
3 State Key Laboratory of Bioelectronics, Jiangsu Key Lab of Remote Measurement and Control, School of Instrument Science and Engineering, Southeast University, Nanjing, 210096, China
* Corresponding Author: Xiaorui Zhang. Email:
(This article belongs to this Special Issue: Computer Methods in Bio-mechanics and Biomedical Engineering)

Computer Modeling in Engineering & Sciences 2020, 124(3), 1131-1147. https://doi.org/10.32604/cmes.2020.09735

Received 16 January 2020; Accepted 25 May 2020; Issue published 21 August 2020

Abstract

In order to solve the problem of high computing cost and low simulation accuracy caused by discontinuity of incision in traditional meshless model, this paper proposes a soft tissue deformation model based on the Marquardt algorithm and enrichment function. The model is based on the element-free Galerkin method, in which Kelvin viscoelastic model and adjustment function are integrated. Marquardt algorithm is applied to fit the relation between force and displacement caused by surface deformation, and the enrichment function is applied to deal with the discontinuity in the meshless method. To verify the validity of the model, the Sensable Phantom Omni force tactile interactive device is used to simulate the deformations of stomach and heart. Experimental results show that the proposed model improves the real-time performance and accuracy of soft tissue deformation simulation, which provides a new perspective for the application of the meshless method in virtual surgery.

---

Keywords

Virtual surgery; meshless model; Marquardt algorithm; enrichment function; soft tissue simulation

---