An Algorithm for Simulation of Gingival Tissue Deformation Based on Mass-Spring Model

Li Jin-fang; Wei Guang-yang; He Han-wu; Cai Jia-hong; Chen Ji-rong

doi:10.12052/gdutxb.190142

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An Algorithm for Simulation of Gingival Tissue Deformation Based on Mass-Spring Model

更新时间：2026-05-27

- An Algorithm for Simulation of Gingival Tissue Deformation Based on Mass-Spring Model
- Vol. 37, Issue 3, Pages: 49-54(2020)
- 作者机构：
  
  1. 广东工业大学机电工程学院,广东,广州,510006
  2. 广东工贸职业技术学院机电工程学院,广东,广州,510510
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.190142
  CLC： TP391.9
- Online First：12 May 2020，
  
  Published：2020
- 稿件说明：
移动端阅览
李晋芳, 韦光扬, 何汉武, 蔡嘉鸿, 陈基荣. 一种基于质点弹簧模型的牙龈软组织形变仿真算法[J]. 广东工业大学学报, 2020, 37(3): 49-54.

Li Jin-fang, Wei Guang-yang, He Han-wu, et al. An Algorithm for Simulation of Gingival Tissue Deformation Based on Mass-Spring Model[J]. 2020, 37(3): 49-54.
李晋芳, 韦光扬, 何汉武, 蔡嘉鸿, 陈基荣. 一种基于质点弹簧模型的牙龈软组织形变仿真算法[J]. 广东工业大学学报, 2020, 37(3): 49-54. DOI： 10.12052/gdutxb.190142.

Li Jin-fang, Wei Guang-yang, He Han-wu, et al. An Algorithm for Simulation of Gingival Tissue Deformation Based on Mass-Spring Model[J]. 2020, 37(3): 49-54. DOI： 10.12052/gdutxb.190142.

摘要

在虚拟手术系统中

软组织形变仿真的好坏会直接影响其仿真的真实感。本文以口腔手术涉及的牙龈软组织为对象

应用质点弹簧模型建立其物理模型

提出一种适用于虚拟手术中牙龈形变仿真的中点平均算法。融合了中点法和平均法的优点

采用中点法对速度进行迭代求解

采用平均法对位移进行求解

能够有效减小误差及受步长的影响。通过与多种欧拉算法对比

进一步验证了中点平均算法求解精度更高、受步长的影响更小的优点。

Abstract

In the virtual surgery system

soft tissue deformation simulation will directly affect the reality of the simulation. In this research

a physical model of gingival tissue involved in oral surgery is established by means of mass-spring model. A midpoint-averaging algorithm is proposed for the simulation of gingival deformation in virtual surgery

which combines the advantages of the midpoint method and the average method

and uses the midpoint method to solve the speed and the average method to solve the displacement. It can effectively reduce the error and reduce the impact of step size. Compared with a variety of Explicit Euler algorithms

it is further verified that the midpoint-averaging algorithm has a higher solution precision and is less affected by the step size.

关键词

Keywords

references

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郭亚博. 虚拟手术中软组织建模与碰撞检测算法的研究[D]. 哈尔滨: 哈尔滨工程大学, 2015.

SUN X, YAN L, BU X G, et al . Research on soft tissue modeling in virtual surgery system [J ] . China Continuing Medical Education, 2019, 11(8): 65-67.

张建国. 虚拟手术中软组织形变建模方法的研究[D]. 哈尔滨: 哈尔滨工程大学, 2016.

XU L, LU Y H, LIU Q. Integrating viscoelastic mass spring dampers into position-based dynamics to simulate soft tissue deformation in real time [J]. Royal Society Open Science, 2018, 5(2): 171587.

LIU X M, WANG R Y, GUO S. Force feedback based on mass-spring volume model and improved euler algorithm [J]. Journal of System Simulation, 2013, 25(9): 2234-2238.

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