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This chapter aims at introducing and discussing the techniques for the generation of 3D Finite Element Meshes of human organs. The field of computer assisted surgery is more specifically addressed.

医学物理 · 物理学 2009-11-20 Claudio Lobos , Yohan Payan , Nancy Hitschfeld

Finite Element mesh generation remains an important issue for patient specific biomechanical modeling. While some techniques make automatic mesh generation possible, in most cases, manual mesh generation is preferred for better control over…

医学物理 · 物理学 2010-07-28 Marek Bucki , Claudio Lobos , Yohan Payan

Finite Element mesh generation remains an important issue for patient specific biomechanical modeling. While some techniques make automatic mesh generation possible, in most cases, manual mesh generation is preferred for better control over…

医学物理 · 物理学 2010-05-31 Marek Bucki , Claudio Lobos , Yohan Payan

This paper addresses an important issue raised for the clinical relevance of Computer-Assisted Surgical applications, namely the methodology used to automatically build patient-specific Finite Element (FE) models of anatomical structures.…

医学物理 · 物理学 2007-05-23 Vincent Luboz , Matthieu Chabanas , Pascal Swider , Yohan Payan

In this paper, we address the problem of automatic mesh generation for finite elements modeling of anatomical organs for which a volumetric data set is available. In the first step a set of characteristic outlines of the organ is defined…

医学物理 · 物理学 2007-05-23 Marek Bucki , Yohan Payan

We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

计算几何 · 计算机科学 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever

In stress field analysis, the finite element analysis is a crucial approach, in which the mesh-density has a significant impact on the results. High mesh density usually contributes authentic to simulation results but costs more computing…

计算工程、金融与科学 · 计算机科学 2021-04-20 Qingfeng Xu , Zhenguo Nie , Handing Xu , Haosu Zhou , Xinjun Liu

The presented article contains a 3D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes of a prescribed volume V_0 of elements. The finite volume meshes are used with the Finite Element…

计算几何 · 计算机科学 2011-03-31 Ilona D. Kosinska

The Finite Element Method (FEM) is a powerful computational tool for solving partial differential equations (PDEs). Although commercial and open-source FEM software packages are widely available, an independent implementation of FEM…

数值分析 · 数学 2025-02-06 Victor Dominguez , Alejandro Duque

The presented article contains a 2D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes with a prescribed size h of elements. These finite element meshes can serve as standard discrete…

数值分析 · 数学 2024-10-21 Ilona Dominika Kosinska

This paper introduces the methodology proposed by our group to model the biological soft tissues deformations and to couple these models with Computer-Assisted Surgical (CAS) applications. After designing CAS protocols that mainly focused…

This paper introduces a highly adaptive and automated approach for generating Finite Element (FE) discretization for a given realistic multi-compartment human head model obtained through magnetic resonance imaging (MRI) dataset. We aim at…

偏微分方程分析 · 数学 2023-07-17 Fernando Galaz Prieto , Joonas Lahtinen , Maryam Samavaki , Sampsa Pursiainen

We introduce a novel approach to automatic unstructured mesh generation using machine learning to predict an optimal finite element mesh for a previously unseen problem. The framework that we have developed is based around training an…

数值分析 · 数学 2020-04-16 Zheyan Zhang , Yongxing Wang , Peter K. Jimack , He Wang

The cost and accuracy of simulating complex physical systems using the Finite Element Method (FEM) scales with the resolution of the underlying mesh. Adaptive meshes improve computational efficiency by refining resolution in critical…

In this work, we propose an automatic mesh generation algorithm, FlowMesher, which can be used to generate unstructured meshes for mesh domains in any shape with minimum (or even no) user intervention. The approach can generate high-quality…

图形学 · 计算机科学 2021-03-11 Zhujiang Wang , Arun R. Srinivasa , J. N. Reddy , Adam Dubrowski

Many engineering systems require accurate simulations of complex physical systems. Yet, analytical solutions are only available for simple problems, necessitating numerical approximations such as the Finite Element Method (FEM). The cost…

Computational simulations using methods such as the finite element (FE) method rely on high-quality meshes for achieving accurate results. This study introduces a method for creating a high-quality hexahedral mesh using the Open Anatomy…

计算工程、金融与科学 · 计算机科学 2024-02-23 Andy Trung Huynh , Benjamin Zwick , Michael Halle , Adam Wittek , Karol Miller

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

计算工程、金融与科学 · 计算机科学 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements…

信号处理 · 电气工程与系统科学 2022-09-22 Apostolos Spanakis-Misirlis

This paper introduces a new Finite Element biomechanical model of the human face, which has been developed to be integrated into a simulator for plastic and maxillo-facial surgery. The idea is to be able to predict, from an aesthetic and…

医学物理 · 物理学 2007-05-23 Matthieu Chabanas , Yohan Payan
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