Constrained finite element method for runtime modeling of soft tissue deformation

Hujin Xie; Jialu Song; Yongmin Zhong; Chengfan Gu; Kup Sze Choi

doi:10.1016/j.apm.2022.05.020

Constrained finite element method for runtime modeling of soft tissue deformation

Hujin Xie, Jialu Song, Yongmin Zhong, Chengfan Gu, Kup Sze Choi

Research output: Journal article publication › Journal article › Academic research › peer-review

10 Citations (Scopus)

Abstract

This paper presents a new constrained FEM (finite element method) for accurate and runtime modeling of soft tissue's mechanical deformation from measurement of local surface displacement. This method turns the modeling problem of tissue deformation with unknown loading input into a constrained estimation problem to online estimate physical tissue deformation. Based on linear FEM discretization, a constrained estimation algorithm is developed to optimally estimate unknown loading input and online calculate deformation from measurement of local surface displacement. Results of simulation and experimentation exhibit that the proposed method significantly promotes the FEM computational performance but still inherits the FEM advantage of physical accuracy.

Original language	English
Pages (from-to)	599-612
Number of pages	14
Journal	Applied Mathematical Modelling
Volume	109
DOIs	https://doi.org/10.1016/j.apm.2022.05.020
Publication status	Published - Sept 2022

Keywords

And constrained estimation
Finite element method
Loading input
Physical tissue deformation

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

More information

10.1016/j.apm.2022.05.020

Cite this

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title = "Constrained finite element method for runtime modeling of soft tissue deformation",

abstract = "This paper presents a new constrained FEM (finite element method) for accurate and runtime modeling of soft tissue's mechanical deformation from measurement of local surface displacement. This method turns the modeling problem of tissue deformation with unknown loading input into a constrained estimation problem to online estimate physical tissue deformation. Based on linear FEM discretization, a constrained estimation algorithm is developed to optimally estimate unknown loading input and online calculate deformation from measurement of local surface displacement. Results of simulation and experimentation exhibit that the proposed method significantly promotes the FEM computational performance but still inherits the FEM advantage of physical accuracy.",

keywords = "And constrained estimation, Finite element method, Loading input, Physical tissue deformation",

author = "Hujin Xie and Jialu Song and Yongmin Zhong and Chengfan Gu and Choi, {Kup Sze}",

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year = "2022",

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doi = "10.1016/j.apm.2022.05.020",

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TY - JOUR

T1 - Constrained finite element method for runtime modeling of soft tissue deformation

AU - Xie, Hujin

AU - Song, Jialu

AU - Zhong, Yongmin

AU - Gu, Chengfan

AU - Choi, Kup Sze

PY - 2022/9

Y1 - 2022/9

N2 - This paper presents a new constrained FEM (finite element method) for accurate and runtime modeling of soft tissue's mechanical deformation from measurement of local surface displacement. This method turns the modeling problem of tissue deformation with unknown loading input into a constrained estimation problem to online estimate physical tissue deformation. Based on linear FEM discretization, a constrained estimation algorithm is developed to optimally estimate unknown loading input and online calculate deformation from measurement of local surface displacement. Results of simulation and experimentation exhibit that the proposed method significantly promotes the FEM computational performance but still inherits the FEM advantage of physical accuracy.

AB - This paper presents a new constrained FEM (finite element method) for accurate and runtime modeling of soft tissue's mechanical deformation from measurement of local surface displacement. This method turns the modeling problem of tissue deformation with unknown loading input into a constrained estimation problem to online estimate physical tissue deformation. Based on linear FEM discretization, a constrained estimation algorithm is developed to optimally estimate unknown loading input and online calculate deformation from measurement of local surface displacement. Results of simulation and experimentation exhibit that the proposed method significantly promotes the FEM computational performance but still inherits the FEM advantage of physical accuracy.

KW - And constrained estimation

KW - Finite element method

KW - Loading input

KW - Physical tissue deformation

UR - http://www.scopus.com/inward/record.url?scp=85130270028&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2022.05.020

DO - 10.1016/j.apm.2022.05.020

M3 - Journal article

AN - SCOPUS:85130270028

SN - 0307-904X

VL - 109

SP - 599

EP - 612

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Constrained finite element method for runtime modeling of soft tissue deformation

Abstract

Keywords

ASJC Scopus subject areas

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