A local high-resolution deformation model of soft tissue based on element-free Galerkin method
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摘要
In order to solve the problem that the existing meshless models are of high computational complexity and are difficult to express the biomechanical characteristics of real soft tissue, a local high-resolution deformation model of soft tissue based on element-free Galerkin method is proposed. The proposed model applies an element-free Galerkin method to establish the model, and integrates Kelvin viscoelastic model and adjustment function to simulate nonlinear viscoelasticity of soft tissue. Meanwhile, a local high-resolution algorithm is applied to sample and render the deformed region of the model to reduce the computational complexity. To verify the effectiveness of the model,liver and brain tumor deformation simulation experiments are carried out. The experimental results show that compared with the existing meshless models, the proposed model well reflects the biomechanical characteristics of soft tissue, and is of high authenticity, which can provide better visual feedback to users while reducing computational cost.
In order to solve the problem that the existing meshless models are of high computational complexity and are difficult to express the biomechanical characteristics of real soft tissue, a local high-resolution deformation model of soft tissue based on element-free Galerkin method is proposed. The proposed model applies an element-free Galerkin method to establish the model, and integrates Kelvin viscoelastic model and adjustment function to simulate nonlinear viscoelasticity of soft tissue. Meanwhile, a local high-resolution algorithm is applied to sample and render the deformed region of the model to reduce the computational complexity. To verify the effectiveness of the model,liver and brain tumor deformation simulation experiments are carried out. The experimental results show that compared with the existing meshless models, the proposed model well reflects the biomechanical characteristics of soft tissue, and is of high authenticity, which can provide better visual feedback to users while reducing computational cost.
In order to solve the problem that the existing meshless models are of high computational complexity and are difficult to express the biomechanical characteristics of real soft tissue, a local high-resolution deformation model of soft tissue based on element-free Galerkin method is proposed. The proposed model applies an element-free Galerkin method to establish the model, and integrates Kelvin viscoelastic model and adjustment function to simulate nonlinear viscoelasticity of soft tissue. Meanwhile, a local high-resolution algorithm is applied to sample and render the deformed region of the model to reduce the computational complexity. To verify the effectiveness of the model,liver and brain tumor deformation simulation experiments are carried out. The experimental results show that compared with the existing meshless models, the proposed model well reflects the biomechanical characteristics of soft tissue, and is of high authenticity, which can provide better visual feedback to users while reducing computational cost.
引文
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[15] Zou Y N,Liu P X,Cheng Q Q,et al.A new deformation model of biological tissue for surgery simulation[J].IEEE Transactions on Cybernetics,2017,47(11):3494-3503
[16] Cheng M M,Mitra N J,Huang X,et al.Global contrast based salient region detection[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2014,37(3):569-582
[17] Kerdok A E,Ottensmeyer M P,Howe R D.Effects of perfusion on the viscoelastic characteristics of liver[J].Journal of Biomechanics,2006,39(12):2221-2231
[18] Dehghan M,Narimani N.An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue[J].Applied Mathematical Modelling,2018,59:500-513
[19] Shivanian E,Jafarabadi A.Capillary formation in tumor angiogenesis through meshless weak and strong local radial point interpolation[J].Engineering with Computers,2018,34(3):603-619
[2] Zou Y N,Liu P X.A new deformation simulation algorithm for elastic-plastic objects based on splat primitives[J].Computers in Biology & Medicine,2017,83:84-93
[3] Cheng Q Q,Liu P X,Lai P H,et al.An interactive meshless cutting model for nonlinear viscoelastic soft tissue in surgical simulators[J].IEEE Access,2017,5:16359-16371
[4] Zou Y N,Liu P X.A high-resolution model for soft tissue deformation based on point primitives[J].Computer Methods & Programs in Biomedicine,2017,148:113-121
[5] Zhang X R,Duan J L,Zhu L F,et al.A virtual puncture surgery system based on multi-layer soft tissue and force mesh[J].Computers Materials & Continua,2018,57(3):505-519
[6] Li C,Ding J,Hong Z,et al.A surface mass-spring model with new flexion springs and collision detection algorithms based on volume structure for real-time soft-tissue deformation interaction[J].IEEE Access,2018,6:75572-75597
[7] Zhang X R,Wang P P,Sun W,et al.The torsion model of soft tissue in virtual surgery[J].High Technology Letters,2018,24(2):169-179
[8] Liu X,Yao J.Modelling and simulation of vascular tissue based on finite element method[C].In:2018 5th International Conference on Information Science and Control Engineering,Zhengzhou,China,2018.336-340
[9] No?l C.A three-dimensional visco-hyperelastic FE model for simulating the mechanical dynamic response of preloaded phalanges[J].Medical Engineering & Physics,2018,61:41-50
[10] Yin S F,Xue S L,Li B,et al.Bio-chemo-mechanical modeling of growing biological tissues:finite element method[J].International Journal of Non-Linear Mechanics,2019,108:46-54
[11] Dong Y,Liu X,Li H,et al.A nonlinear viscoelastic meshless model for soft tissue deformation[C].In:2016 International Conference on Virtual Reality and Visualization,Hangzhou,China,2016.204-211
[12] Cheng Q Q,Liu P X,Lai P H,et al.A novel haptic interactive approach to simulation of surgery cutting based on mesh and meshless models[J].Journal of Healthcare Engineering,2018,2018:1-16
[13] Zhou J,Liu X,Li C.A meshless deformation simulation method for virtual surgery[J].International Journal of Robotics and Automation,2018,33(2):118-126
[14] Zhou J,Luo Z,Li C,et al.Real-time deformation of human soft tissues:aradial basis meshless 3D model based on Marquardt's algorithm[J].Computer Methods and Programs in Biomedicine,2018,153:237-252
[15] Zou Y N,Liu P X,Cheng Q Q,et al.A new deformation model of biological tissue for surgery simulation[J].IEEE Transactions on Cybernetics,2017,47(11):3494-3503
[16] Cheng M M,Mitra N J,Huang X,et al.Global contrast based salient region detection[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2014,37(3):569-582
[17] Kerdok A E,Ottensmeyer M P,Howe R D.Effects of perfusion on the viscoelastic characteristics of liver[J].Journal of Biomechanics,2006,39(12):2221-2231
[18] Dehghan M,Narimani N.An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue[J].Applied Mathematical Modelling,2018,59:500-513
[19] Shivanian E,Jafarabadi A.Capillary formation in tumor angiogenesis through meshless weak and strong local radial point interpolation[J].Engineering with Computers,2018,34(3):603-619