Soft Tissue Deformation Model Based on Marquardt Algorithm and Enrichment Function
- Xiaorui Zhang1,2,*, 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)
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)
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
Cite This Article
Zhang, X., Yu, X., Sun, W., Song, A. (2020). Soft Tissue Deformation Model Based on Marquardt Algorithm and Enrichment Function. CMES-Computer Modeling in Engineering & Sciences, 124(3), 1131–1147.
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