برای استفاده از امکانات سیستم، گزینه جاوا اسکریپت در مرورگر شما باید فعال باشد
صفحه
از
0
Image-based geometric modeling and mesh generation
اطلاعات کتابشناختی
Image-based geometric modeling and mesh generation
Author :
Publisher :
Springer Science+Business Media,
Pub. Year :
2013
Subjects :
Image processing -- Digital techniques. Finite element method -- Data processing. ...
Call Number :
TA 1637 .I4228 2013
جستجو در محتوا
ترتيب
شماره صفحه
امتياز صفحه
فهرست مطالب
Image-Based Geometric Modeling and Mesh Generation
(4)
Preface
(6)
Contents
(7)
Contributors
(9)
Challenges and Advances in Image-Based Geometric Modeling and Mesh Generation
(12)
1 Introduction
(13)
2 Meshing Pipelines
(15)
2.1 Meshing Pipelines Starting from Scanned Images
(15)
2.2 Meshing Pipelines Starting from Geometry or PDB Data
(16)
3 Piecewise-Linear Mesh Generation
(16)
Challenges
(18)
4 High-Order Element Construction
(18)
Challenges
(19)
5 Conclusion
(20)
References
(20)
3D Surface Realignment Tracking for Medical Imaging: A Phantom Study with PET Motion Correction
(22)
1 Introduction
(23)
2 Experiments and Methods
(23)
3 Results and Discussion
(26)
4 Summary and Conclusions
(28)
References
(29)
Flexible Multi-scale Image Alignment Using B-Spline Reparametrization
(31)
1 Introduction
(31)
2 Methodology
(33)
Problem Description
(33)
3 B-Spline Reparametrization by L2-Gradient Flow
(34)
4 Numerical Solutions
(35)
4.1 Spacial Discretization
(35)
4.2 Temporal Discretization
(37)
Compute taul
(37)
4.3 Calculation of Coefficient Matrix of (10) and Its Inverse
(39)
5 Alignment Based on Multi-resolution Representations
(41)
5.1 Multi-resolution Representations
(41)
The Outputs of the Algorithm
(42)
5.2 Gaussian Filter
(42)
5.3 Least Square Approximations
(43)
6 Regularity Analysis of Mapping x
(44)
7 Existence and Uniqueness of x
(46)
8 Existence and Uniqueness of ODE's Solution
(48)
Gronwall's Inequality (See [14])
(49)
9 Experiments
(55)
Regularity of Mapping x
(56)
Boundary Conditions
(56)
Regularization Term Omega (g-1)2
(57)
The Choice of the N-Sequence
(58)
Image Sampling
(59)
10 Conclusions
(62)
References
(62)
Shape Based Conditional Random Fields for Segmenting Intracranial Aneurysms
(64)
1 Introduction
(64)
2 Problem Formulation
(66)
2.1 Conditional Random Fields
(66)
3 Shape Descriptors
(67)
3.1 Local Descriptors
(68)
3.2 Regional Shape Descriptors
(68)
3.2.1 Wilmore Energy
(68)
3.2.2 Regional Attribute Weighted Geodesic Shape Contexts
(68)
Visibility from Reference Point
(69)
4 Potential Specification
(70)
4.1 Strong Unary Potentials
(70)
Vessel Prior
(70)
Aneurysm Prior
(71)
4.2 Weak Unary Potential
(72)
4.3 Pairwise Potential
(72)
5 Experiments
(72)
6 Conclusions
(74)
References
(75)
Tetrahedral Image-to-Mesh Conversion Approaches for Surgery Simulation and Navigation
(77)
1 Introduction
(78)
2 Background
(79)
2.1 Non-rigid Registration
(79)
2.2 Image-to-Mesh Conversion
(81)
3 Evaluation of Mesh Generation Techniques
(83)
3.1 Mesh Fitness Criteria
(83)
3.2 Mesh Generation Libraries
(84)
3.3 Evaluation Methodology
(84)
3.4 Results
(86)
4 Discussion
(89)
References
(90)
Surface Triangular Mesh and Volume Tetrahedral Mesh Generations for Biomolecular Modeling
(93)
1 Introduction
(93)
2 Method
(97)
2.1 Surface Triangular Mesh Generation
(97)
2.1.1 Computing the Points on the Gaussian Surface
(97)
2.1.2 Trace Step
(98)
2.1.3 Polygonization
(100)
2.2 Volume Tetrahedral Mesh Generation
(102)
3 Results
(103)
3.1 Performance
(103)
3.2 Applications
(109)
4 Conclusion
(110)
References
(112)
A Combined Level Set/Mesh Warping Algorithm for Tracking Brain and Cerebrospinal Fluid Evolution in Hydrocephalic Patients
(115)
1 Introduction
(115)
2 Generation of Dynamic Biomedical Computational Models and Simulations
(117)
2.1 Generation of Image-Based Computational Models
(117)
2.2 Image Segmentation
(117)
2.3 Mesh Generation
(118)
2.4 Moving Meshes
(119)
2.5 Motivation for Current Study
(119)
3 Introduction to the Level Set Method and FEMWARP
(119)
3.1 Level Set Methods
(119)
3.1.1 The Chan and Vese Level Set Method for Curve Evolution
(120)
3.2 Mesh Warping Methods
(121)
3.2.1 The Shontz and Vavasis Finite Element-Based Mesh Warping (FEMWARP) Algorithm
(121)
4 Ventricular Deformation for Boundaries Obtained from the Level Set Method and FEMWARP in Hydrocephalic Patients
(122)
4.1 Image Denoising
(123)
4.2 Image Segmentation
(123)
4.3 Obtaining Boundary Vertices
(124)
4.4 Mesh Generation
(124)
4.5 Mesh Deformation
(124)
4.6 Mesh Quality Improvement
(124)
5 Simulations of the Evolution of the Brain Ventricles in Hydrocephalic Patients
(125)
5.1 Simulation 1: Small Decrease in the Area of the Ventricles
(126)
5.2 Simulation 2: Asymmetric Ventricular Shape Change
(129)
5.3 Simulation 3: Ventricular Deformation with Boundaries Obtained via the Level Set Method
(136)
6 Conclusions and Future Work
(143)
References
(145)
An Optimization-Based Iterative Approach to Tetrahedral Mesh Smoothing
(150)
1 Introduction
(150)
2 Methods
(152)
2.1 Tetrahedral Mesh Generation Algorithm
(152)
2.2 ODT and B-ODT Algorithms
(153)
2.3 Edge-Based B-ODT Algorithm
(155)
3 Results
(156)
4 Conclusions
(162)
References
(162)
High-Quality Multi-tissue Mesh Generation for Finite Element Analysis
(165)
1 Introduction
(165)
1.1 Previous Work
(166)
1.2 Our Contribution
(167)
2 Background
(167)
3 Our Method
(168)
3.1 Mesh Conformity
(169)
3.2 Point Rejection Quality Improvement
(169)
4 Results
(171)
5 Conclusions and Future Work
(174)
References
(174)
Construction of Models and Meshes of Heterogeneous Material Microstructures from Image Data
(176)
1 Introduction
(176)
2 Image Data Input
(177)
2.1 3D Voxel Using XCMT
(177)
2.2 2D Slices Plus Statistical Processing
(180)
3 Construction of Geometric Model
(181)
3.1 Voxel Data Processing
(181)
3.2 Construction of Non-manifold Model Topology
(184)
3.3 Non-manifold Models for Periodic Representative Volumes
(185)
3.4 User Interface Functions to Support Image to Geometry Operations
(187)
4 Mesh Generation
(188)
5 Results
(191)
6 Closing Remarks
(196)
References
(197)
Quality Improvement of Segmented Hexahedral Meshes Using Geometric Flows
(199)
1 Introduction
(199)
2 Previous Work
(200)
Hexahedral Mesh Generation
(200)
Quality Improvement for Quadrilateral/Hexahedral Meshes
(201)
Surface Smoothing Using Geometric Flows
(201)
3 Problem Description and Preparation
(201)
3.1 Problem Description
(201)
3.2 Quality Metrics
(203)
4 Quality Improvement Algorithm and Implementation
(203)
4.1 The Pillowing Technique
(204)
4.2 Curve Smoothing Driven by Curve Diffusion Flow
(206)
4.3 Curve Regularization
(206)
4.4 Surface Smoothing Using Various Geometric Flows
(207)
Discretization of Geometric PDEs
(210)
4.5 Regularization of Boundary Quadrilateral Mesh
(211)
4.6 Hexahedral Mesh Optimization
(213)
4.6.1 Local Optimization
(213)
4.6.2 Global Optimization
(213)
4.6.3 Further Improvement
(215)
5 Application Examples and Discussion
(215)
5.1 Surface Smoothing Using Various Geometric Flows
(215)
5.2 Quality Improvement for Quadrilateral Meshes
(219)
5.3 Quality Improvement for Hexahedral Meshes
(221)
6 Conclusion
(222)
References
(224)
Patient-Specific Model Generation and Simulation for Pre-operative Surgical Guidance for Pulmonary Embolism Treatment
(226)
1 Introduction
(227)
2 Generation of Patient-Specific Meshes for CFD Simulations
(231)
2.1 Image Segmentation
(231)
2.2 Surface Mesh Generation
(232)
2.3 Volume Mesh Generation
(232)
2.4 Mesh Optimization
(233)
2.5 Motivation for Current Study
(233)
3 Patient-Specific Geometric Modeling of an IVC Filter Implanted in the IVC
(233)
4 A Combined CAD- and CT Image-Based Model Creation Technique for CFD Simulations of Blood Flow in Patient-Specific Models
(235)
4.1 Image Acquisition
(235)
4.2 Image Segmentation
(235)
4.2.1 Region Growing
(236)
4.2.2 Gradient-Based Region Growing
(236)
4.2.3 Intelligent Scissors
(236)
4.3 Surface Mesh Generation
(237)
4.3.1 Marching Cubes
(237)
4.3.2 Poisson Surface Reconstruction
(237)
4.3.3 Surface Mesh Smoothing
(238)
4.4 Generation of a Geometric Model of the IVC Filter
(238)
4.5 Virtual IVC Filter Placement
(239)
4.5.1 Superelasticity-Based Mesh Warping
(239)
4.5.2 Linear Elasticity-Based Mesh Warping
(240)
4.6 Volume Mesh Generation
(241)
4.6.1 Advancing Front Technique
(241)
4.7 Computational Fluid Dynamics
(241)
5 Results from Our Computational Pipeline
(242)
5.1 Image Segmentation
(242)
5.2 Surface Mesh Generation
(243)
5.3 Virtual IVC Filter Placement
(245)
5.4 Volume Mesh Generation
(245)
5.5 Computational Fluid Dynamics
(246)
6 Conclusions and Future Work
(247)
References
(249)
Computational Techniques for Analysis of Shape and Kinematics of Biological Structures
(253)
1 Introduction
(253)
2 Methods
(255)
2.1 Parameterization
(256)
2.1.1 Medial Representation
(257)
2.1.2 Harmonic Mapping
(259)
2.2 Decomposition
(262)
2.2.1 Proper Orthogonal Decomposition
(263)
2.2.2 Independent Component Analysis
(264)
3 Example
(265)
4 Future Directions
(269)
References
(270)
Finite Element Modeling of Biomolecular Systems in Ionic Solution
(272)
1 Introduction
(272)
2 PB Model
(274)
2.1 Regularization Schemes of the Poisson-Boltzmann Equation
(276)
2.2 Finite Element Methods
(278)
3 PNP Model
(280)
3.1 PNP Equations
(283)
3.2 Finite Element Algorithms
(284)
3.2.1 Steady-State Diffusion
(285)
3.2.2 Unsteady-State Diffusion
(286)
3.2.3 A Symmetric Transform of the Electro-Diffusion Equations
(287)
3.3 PB Model as a Special Case of PNP Model
(289)
4 Finite Element Implementation and Mesh Generation
(290)
5 Numerical Experiments and Biophysical Applications
(290)
5.1 Steady-State Diffusion: Numerical Accuracy
(291)
5.2 Accuracy for Solving the Unsteady-State Diffusion
(293)
5.3 Biophysical Applications: Diffusion-Reaction Study of AChE-ACh System
(294)
6 Conclusions
(297)
References
(298)