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Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors
| Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Microstructure - Mathematical models Microstructure - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8173-6
0-8218-4745-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Diffusion in cellular microdomains: Application to synapses""; ""Modeling and computation of the scattering by a nano optical medium""; ""Behaviour of periodic fast multipole boundary integral equation method for Maxwell's equations near Wood's anomalies""; ""An asymptotic factorization method for inverse electromagnetic scattering in layered media II: A numerical study""; ""Faults in elastic half space: Direct and inverse problem""
""Asymptotics in the presence of inclusions of small volume for a conduction equation: A case with a non-smooth reference potential""""Inverse Born series for diffuse waves""; ""On identification of doping profile in semiconductors""; ""Reconstruction algorithm for the linearized polarization tomography problem with incomplete data""; ""An effectivization of the global reconstruction in the Gel�fand-Calderón inverse problem in three dimensions""; ""The image system and Green's function for the ellipsoid"" |
| Record Nr. | UNINA-9910480165403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors
| Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Microstructure - Mathematical models Microstructure - Data processing |
| ISBN |
0-8218-8173-6
0-8218-4745-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Diffusion in cellular microdomains: Application to synapses -- Modeling and computation of the scattering by a nano optical medium -- Behaviour of periodic fast multipole boundary integral equation method for Maxwell's equations near Wood's anomalies -- An asymptotic factorization method for inverse electromagnetic scattering in layered media II: A numerical study -- Faults in elastic half space: Direct and inverse problem -- Asymptotics in the presence of inclusions of small volume for a conduction equation: A case with a non-smooth reference potential -- Inverse Born series for diffuse waves -- On identification of doping profile in semiconductors -- Reconstruction algorithm for the linearized polarization tomography problem with incomplete data -- An effectivization of the global reconstruction in the Gel’fand-Calderón inverse problem in three dimensions -- The image system and Green's function for the ellipsoid. |
| Record Nr. | UNINA-9910788798203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors
| Imaging microstructures : mathematical and computational challenges : proceedings of a research conference, June 18-20, 2008, Institut Henri Poincaré, Paris, France / / Habib Ammari, Hyeonbae Kang, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Microstructure - Mathematical models Microstructure - Data processing |
| ISBN |
0-8218-8173-6
0-8218-4745-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Diffusion in cellular microdomains: Application to synapses -- Modeling and computation of the scattering by a nano optical medium -- Behaviour of periodic fast multipole boundary integral equation method for Maxwell's equations near Wood's anomalies -- An asymptotic factorization method for inverse electromagnetic scattering in layered media II: A numerical study -- Faults in elastic half space: Direct and inverse problem -- Asymptotics in the presence of inclusions of small volume for a conduction equation: A case with a non-smooth reference potential -- Inverse Born series for diffuse waves -- On identification of doping profile in semiconductors -- Reconstruction algorithm for the linearized polarization tomography problem with incomplete data -- An effectivization of the global reconstruction in the Gel’fand-Calderón inverse problem in three dimensions -- The image system and Green's function for the ellipsoid. |
| Record Nr. | UNINA-9910822594803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inverse Problems and Imaging [[electronic resource] ] : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002 / / edited by Luis L. Bonilla
| Inverse Problems and Imaging [[electronic resource] ] : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002 / / edited by Luis L. Bonilla |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | xi, 192 p. : ill |
| Disciplina | 621.36/70151 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Mathematics
Mathematics, general |
| ISBN | 3-540-78547-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | to Image Reconstruction -- X-ray Tomography -- Adjoint Fields and Sensitivities for 3D Electromagnetic Imaging in Isotropic and Anisotropic Media -- Polarization-Based Optical Imaging -- Topological Derivatives for Shape Reconstruction -- Time-Reversal and the Adjoint Imaging Method with an Application in Telecommunication -- A Brief Review on Point Interactions. |
| Record Nr. | UNISA-996466759803316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Inverse problems and imaging : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002 / / Luis L. Bonilla (ed.) ; chapters by: A. Carpio ... [et al.]
| Inverse problems and imaging : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002 / / Luis L. Bonilla (ed.) ; chapters by: A. Carpio ... [et al.] |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2008 |
| Descrizione fisica | xi, 192 p. : ill |
| Disciplina | 621.36/70151 |
| Altri autori (Persone) |
BonillaL. L <1956-> (Luis López)
CarpioA (Ana) |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Tomography
Geometric tomography Inverse problems (Differential equations) |
| ISBN |
9783540785477
3540785477 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | to Image Reconstruction -- X-ray Tomography -- Adjoint Fields and Sensitivities for 3D Electromagnetic Imaging in Isotropic and Anisotropic Media -- Polarization-Based Optical Imaging -- Topological Derivatives for Shape Reconstruction -- Time-Reversal and the Adjoint Imaging Method with an Application in Telecommunication -- A Brief Review on Point Interactions. |
| Record Nr. | UNINA-9910483467403321 |
| Berlin, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors
| Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Electromagnetic theory - Mathematics Differential equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8227-9
0-8218-5289-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Use of random matrix theory for target detection, localization, and reconstruction""; ""Resolution limits in source localization and small inclusion imaging""; ""Transient wave imaging of anomalies: A numerical study""; ""Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data""; ""Reconstruction of the shape of an inclusion from elastic moment tensors""; ""Path integrals and optical tomography""; ""Denoising of Bz data for conductivity reconstruction in magnetic resonance electrical impedance tomography (MREIT)""
""Time reversal for inclusion detection in one dimensional randomly layered media""""Some anisotropic viscoelastic Green functions""; ""Time reversal in attenuating acoustic media"" |
| Record Nr. | UNINA-9910480583403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors
| Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Electromagnetic theory - Mathematics Differential equations |
| ISBN |
0-8218-8227-9
0-8218-5289-2 |
| Classificazione | 34A5535R3035A2035B4044A1278M0578M2578A45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Use of random matrix theory for target detection, localization, and reconstruction -- Resolution limits in source localization and small inclusion imaging -- Transient wave imaging of anomalies: A numerical study -- Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data -- Reconstruction of the shape of an inclusion from elastic moment tensors -- Path integrals and optical tomography -- Denoising of Bz data for conductivity reconstruction in magnetic resonance electrical impedance tomography (MREIT) -- Time reversal for inclusion detection in one dimensional randomly layered media -- Some anisotropic viscoelastic Green functions -- Time reversal in attenuating acoustic media. |
| Altri titoli varianti | Methods for imaging |
| Record Nr. | UNINA-9910788634503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors
| Mathematical and statistical methods for imaging : NIMS Thematic Workshop : mathematical and statistical methods for imaging, August 10-13, 2010, Inha University, Incheon, Korea / / Habib Ammari [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 621.36/70151 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Image processing - Mathematics
Electromagnetic theory - Mathematics Differential equations |
| ISBN |
0-8218-8227-9
0-8218-5289-2 |
| Classificazione | 34A5535R3035A2035B4044A1278M0578M2578A45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Use of random matrix theory for target detection, localization, and reconstruction -- Resolution limits in source localization and small inclusion imaging -- Transient wave imaging of anomalies: A numerical study -- Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data -- Reconstruction of the shape of an inclusion from elastic moment tensors -- Path integrals and optical tomography -- Denoising of Bz data for conductivity reconstruction in magnetic resonance electrical impedance tomography (MREIT) -- Time reversal for inclusion detection in one dimensional randomly layered media -- Some anisotropic viscoelastic Green functions -- Time reversal in attenuating acoustic media. |
| Altri titoli varianti | Methods for imaging |
| Record Nr. | UNINA-9910815371403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical morphology : from theory to applications / / edited by Laurent Najman, Hugues Talbot
| Mathematical morphology : from theory to applications / / edited by Laurent Najman, Hugues Talbot |
| Pubbl/distr/stampa | London, : ISTE |
| Descrizione fisica | 1 online resource (529 p.) |
| Disciplina | 621.36/70151 |
| Altri autori (Persone) |
NajmanLaurent
TalbotHugues |
| Collana | ISTE |
| Soggetto topico |
Image analysis
Image processing - Mathematics |
| ISBN |
9781118600788
1118600789 9781299146372 1299146376 9781118600900 1118600908 9781118600856 1118600851 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Foundations -- pt. 2. Evaluating and deciding -- pt. 3. Filtering and connectivity -- pt. 4. Links and extensions -- pt. 5. Applications. |
| Record Nr. | UNINA-9911020361603321 |
| London, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear inverse problems in imaging / / Jin Keun Seo, Eung Je Woo
| Nonlinear inverse problems in imaging / / Jin Keun Seo, Eung Je Woo |
| Autore | Seo Jin Keun |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2013 |
| Descrizione fisica | 1 online resource (375 p.) |
| Disciplina | 621.36/70151 |
| Altri autori (Persone) | WooE. J (Eung Je) |
| Soggetto topico |
Image processing - Mathematics
Cross-sectional imaging - Mathematics Inverse problems (Differential equations) Nonlinear theories |
| ISBN |
9781118478141
1118478142 9781283993845 1283993848 9781118478172 1118478177 9781118478158 1118478150 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Preface List of Abbreviations 1 Introduction 1.1 Forward Problem 1.2 Inverse Problem 1.3 Issues in Inverse Problem Solving 1.4 Linear, Nonlinear and Linearized Problems 2 Signal and System as Vectors 2.1 Vector Space 2.1.1 Vector Space and Subspace 2.1.2 Basis, Norm and Inner Product 2.1.3 Hilbert Space 2.2 Vector Calculus 2.2.1 Gradient 2.2.2 Divergence 2.2.3 Curl 2.2.4 Curve 2.2.5 Curvature 2.3 Taylor's Expansion 2.4 Linear System of Equations 2.4.1 Linear System and Transform 2.4.2 Vector Space of Matrix 2.4.3 Least Square Solution 2.4.4 Singular Value Decomposition (SVD) 2.4.5 Pseudo-inverse 2.5 Fourier Transform 2.5.1 Series Expansion 2.5.2 Fourier Transform 2.5.3 Discrete Fourier Transform (DFT) 2.5.4 Fast Fourier Transform (FFT) 2.5.5 Two-dimensional Fourier Transform References 3 Basics for Forward Problem 3.1 Understanding PDE using Images as Examples 3.2 Heat Equation 3.2.1 Formulation of Heat Equation 3.2.2 One-dimensional Heat Equation 3.2.3 Two-dimensional Heat Equation and Isotropic Diffusion 3.2.4 Boundary Conditions 3.3 Wave Equation 3.4 Laplace and Poisson Equations 3.4.1 Boundary Value Problem 3.4.2 Laplace Equation in a Circle 3.4.3 Laplace Equation in Three-dimensional Domain 3.4.4 Representation Formula for Poisson Equation References 4 Analysis for Inverse Problem 4.1 Examples of Inverse Problems in Medical Imaging 4.1.1 Electrical Property Imaging 4.1.2 Mechanical Property Imaging 4.1.3 Image Restoration 4.2 Basic Analysis 4.2.1 Sobolev Space 4.2.2 Some Important Estimates 4.2.3 Helmholtz Decomposition 4.3 Variational Problems 4.3.1 Lax-Milgram Theorem 4.3.2 Ritz Approach 4.3.3 Euler-Lagrange Equations 4.3.4 Regularity Theory and Asymptotic Analysis 4.4 Tikhonov Regularization and Spectral Analysis 4.4.1 Overview of Tikhonov Regularization 4.4.2 Bounded Linear Operators in Banach Space 4.4.3 Regularization in Hilbert Space or Banach Space 4.5 Basics of Real Analysis 4.5.1 Riemann Integrable 4.5.2 Measure Space 4.5.3 Lebesgue Measurable Function 4.5.4 Pointwise, Uniform, Norm Convergence and Convergence in Measure 4.5.5 Differentiation Theory References 5 Numerical Methods 5.1 Iterative Method for Nonlinear Problem 5.2 Numerical Computation of One-dimensional Heat equation 5.2.1 Explicit Scheme 5.2.2 Implicit Scheme 5.2.3 Crank-Nicolson Method 5.3 Numerical Solution of Linear System of Equations 5.3.1 Direct Method using LU Factorization 5.3.2 Iterative Method using Matrix Splitting 5.3.3 Iterative Method using Steepest Descent Minimization 5.3.4 Conjugate Gradient (CG) Method 5.4 Finite Difference Method (FDM) 5.4.1 Poisson Equation 5.4.2 Elliptic Equation 5.5 Finite Element Method (FEM) 5.5.1 One-dimensional Model 5.5.2 Two-dimensional Model 5.5.3 Numerical Examples References 6 CT, MRI and Image Processing Problems 6.1 X-ray CT 6.1.1 Inverse Problem 6.1.2 Basic Principle and Nonlinear Effects 6.1.3 Inverse Radon Transform 6.1.4 Artifacts in CT 6.2 MRI 6.2.1 Basic Principle 6.2.2 K-space Data 6.2.3 Image Reconstruction 6.3 Image Restoration 6.3.1 Role of p in (6.35) 6.3.2 Total Variation Restoration 6.3.3 Anisotropic Edge-preserving Diffusion 6.3.4 Sparse Sensing 6.4 Segmentation 6.4.1 Active Contour Method 6.4.2 Level Set Method 6.4.3 Motion Tracking for Echocardiography References 7 Electrical Impedance Tomography 7.1 Introduction 7.2 Measurement Method and Data 7.2.1 Conductivity and Resistance 7.2.2 Permittivity and Capacitance 7.2.3 Phasor and Impedance 7.2.4 Admittivity and Trans-impedance 7.2.5 Electrode Contact Impedance 7.2.6 EIT System 7.2.7 Data Collection Protocol and Data Set 7.2.8 Linearity between Current and Voltage 7.3 Representation of Physical Phenomena 7.3.1 Derivation of Elliptic PDE 7.3.2 Elliptic PDE for Four-electrode Method 7.3.3 Elliptic PDE for Two-electrode Method 7.3.4 Min-max Property of Complex Potential 7.4 Forward Problem and Model 7.4.1 Continuous Neumann-to-Dirichlet Data 7.4.2 Discrete Neumann-to-Dirichlet Data 7.4.3 Nonlinearity between Admittivity and Voltage 7.5 Uniqueness Theory and Direct Reconstruction Method 7.5.1 Calderon's Approach 7.5.2 Uniqueness and Three-dimensional Reconstruction: Infinite Measurements 7.5.3 Nachmann's D-bar Method in Two Dimension 7.6 Backprojection Algorithm 7.7 Sensitivity and Sensitivity Matrix 7.7.1 Perturbation and Sensitivity 7.7.2 Sensitivity Matrix 7.7.3 Linearization 7.7.4 Quality of Sensitivity Matrix 7.8 Inverse Problem of EIT 7.8.1 Inverse Problem of RC Circuit 7.8.2 Formulation of EIT Inverse Problem 7.8.3 Ill-posedness of EIT Inverse Problem 7.9 Static Imaging 7.9.1 Iterative Data Fitting Method 7.9.2 Static Imaging using 4-channel EIT System 7.9.3 Regularization 7.9.4 Technical Difficulty of Static Imaging 7.10 Time-difference Imaging 7.10.1 Data Sets for Time-difference Imaging 7.10.2 Equivalent Homogeneous Admittivity 7.10.3 Linear Time-difference Algorithm using Sensitivity Matrix 7.10.4 Interpretation of Time-difference Image 7.11 Frequency-difference Imaging 7.11.1 Data Sets for Frequency-difference Imaging 7.11.2 Simple Difference Ft,ω2− Ft,ω1 7.11.3 Weighted Difference Ft,ω2− [alpha] Ft,ω1 7.11.4 Linear Frequency-difference Algorithm using Sensitivity Matrix 7.11.5 Interpretation of Frequency-difference Image References 8 Anomaly Estimation and Layer Potential Techniques 8.1 Harmonic Analysis and Potential Theory 8.1.1 Layer Potentials and Boundary Value Problems for Laplace Equation 8.1.2 Regularity for Solution of Elliptic Equation along Boundary of Inhomogeneity 8.2 Anomaly Estimation using EIT 8.2.1 Size Estimation Method 8.2.2 Location Search Method 8.3 Anomaly Estimation using Planar Probe 8.3.1 Mathematical Formulation 8.3.2 Representation Formula References 9 Magnetic Resonance Electrical Impedance Tomography 9.1 Data Collection using MRI 9.1.1 Measurement of Bz 9.1.2 Noise in Measured Bz Data 9.1.3 Measurement of B = (Bx,By,Bz) 9.2 Forward Problem and Model Construction 9.2.1 Relation between J , Bz and σ 9.2.2 Three Key Observations 9.2.3 Data Bz Traces σ∇u © e z-directional Change of σ 9.2.4 Mathematical Analysis toward MREIT Model 9.3 Inverse Problem Formulation using B or J 9.4 Inverse Problem Formulation using Bz 9.4.1 Model with Two Linearly Independent Currents 9.4.2 Uniqueness 9.4.3 Defected Bz Data in a Local Region 9.5 Image Reconstruction Algorithm 9.5.1 J-substitution Algorithm 9.5.2 Harmonic Bz Algorithm 9.5.3 Gradient Bz Decomposition and Variational Bz Algorithm 9.5.4 Local Harmonic Bz Algorithm 9.5.5 Sensitivity Matrix Based Algorithm 9.5.6 Anisotropic Conductivity Reconstruction Algorithm 9.5.7 Other Algorithms 9.6 Validation and Interpretation 9.6.1 Image Reconstruction Procedure using Harmonic Bz Algorithm 9.6.2 Conductivity Phantom Imaging 9.6.3 Animal Imaging 9.6.4 Human Imaging 9.7 Applications References 10 Magnetic Resonance Elastography 10.1 Representation of Physical Phenomena 10.1.1 Overview of Hooke's Law 10.1.2 Strain Tensor in Lagrangian Coordinates 10.2 Forward Problem and Model 10.3 Inverse Problem in MRE 10.4 Reconstruction Algorithms 10.4.1 Reconstruction of [mu] with the Assumption of Local Homogeneity 10.4.2 Reconstruction of [mu] without the Assumption of Local Homogeneity 10.4.3 Anisotropic Elastic Moduli Reconstruction 10.5 Technical Issues in MRE References. |
| Record Nr. | UNINA-9911019449703321 |
Seo Jin Keun
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| Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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