Index
Bz image
Bz-based MREIT
J-substitution algorithm
k-space
k-space data
Absolute continuity
Active contour method
Additivity
Admittivity
Algebraic inversion method
Ampère's law
Animal imaging
Anisotropic conductivity reconstruction algorithm
Anisotropic conductivity tensor
Anisotropic diffusion model
Anisotropic elastic moduli reconstruction
Asymptotic analysis
Attenuation coefficient
Back-projection
Back-projection algorithm
Baire category
Banach space
Basis
Beam hardening
Beer–Lambert law
Bichromatic
Bilinear map
Biot–Savart law
Bipolar method
Bloch equation
Block matching
Boundary conditions in EIT
Boundary geometry error
Boundary voltage data
Bregman distance
Calderón's approach
Cantor function
Caratheodory
Cauchy's infinitesimal strain tensor
Chan–Vese model
Characteristic coordinates
Characteristic function
Classical derivative
Compact operator
Complete electrode model
Complex MR image
Complex potential
Compression
Condition number
Conductivity
Conductivity phantom
Conductivity reconstructor using harmonic algorithms (CoReHA)
Conjugate gradient method
Conservation of mass
Consistency
Contact impedance
Continuity
Continuity equation
Contraction mapping
Convergence
Convergence behavior
Convolution
Coulomb's law
Crank–Nicolson method
Crank–Nicolson scheme
Cross-correlation
Curl
Current density
Current density streamline
Current injection MRI
Current injection time
Current source
Curvature
Curve
D-bar algorithm
Damped Jacobi method
Data subtraction method
Defected data in MREIT
Delta function
Denoising
Direct reconstruction technique
Dirichlet boundary condition
Dirichlet functional
Discrete Fourier transform (DFT)
Discrete Fourier transformation
Discretization
Displacement
Divergence
Divergence theorem
Double-layer potential
Echocardiography
Egorov's theorem
EIT
EIT inverse problem
EIT system
Elastic deformation
Elasticity
Elastography
Electrical impedance tomography
Electrode positioning error
Equation of motion
Equipotential line
Equivalent homogeneous admittivity
Error amplification
Euler's equation
Euler–Lagrange equation
Eulerian description
Existence
Explicit scheme
External measurement
Faraday's law
Fast Fourier transform (FFT)
Fatou's lemma
Filtered back-projection
Finite difference method
Finite element method
Forward problem
Forward problem in MRE
Forward problem in MREIT
Forward problem of EIT
Four-electrode method
Fourier inversion formula
Fourier slice theorem
Fourier transform
Fréchet derivative
Frequency-difference EIT (fdEIT)
Frequency-difference image
Frequency-difference imaging in EIT
Frequency-difference TAS
G-norm
G-space
Galerkin's method
Gauss's law
Gauss-Seidel method
Gaussian filter
Gaussian function
Gaussian kernel
Generalized derivative
Generalized system
Gradient
Gradient Bz decomposition algorithm
Gradient descent
Gradient vector flow
Gram–Schmidt process
Green's function
Gyromagnetic ratio
Hahn-Banach
Hardy-Littlewood-Sobolev inequality
Harmonic Bz algorithm
Harmonic function
Harmonic inpainting
Heat equation
Heat kernel
Helmholtz decomposition
Helmholtz–Hodge decomposition
Hilbert space
Hilbert transform
Homogeneity
Hooke's law
Hopf's lemma
Human imaging
Ill-posedness
Ill-posedness of EIT
Image restoration
Impedance
Implicit scheme
Injection current
Injection current nonlinear encoding (ICNE)
Inner product
Input identification
Internal measurement
Inverse problem
Inverse problem in MRE
Inverse problem in MREIT
Inverse problem of RC circuit
Inverse Radon transform
Inversion process
Isotropic diffusion
Iterative data fitting method
Iterative method in MRE
Jacobi method
Lagrangian coordinate
Lamé coefficients
Laplace equation
Lax equivalence theorem
Lax–Milgram theorem
Least-squares solution
Lebesgue dominated convergence theorem (LDCT)
Lebesgue integral
Lebesgue measure
Level set method
Linear frequency-difference algorithm
Linear momentum
Linear system
Linear system of equations
Linear time-difference algorithm
Linear transform
Linearity
Linearity between current and voltage
Linearization
Linearization in EIT
Linearized EIT problem
Linearly independent
Local harmonic Bz algorithm
Local homogeneity assumption
Location search method
Lucas–Kanade method
Magnetic flux density
Magnetic permeability
Magnetic resonance elastography (MRE)
Magnetic resonance electrical impedance tomography (MREIT)
Mathematical model of MREIT
Maximum principle
Maxwell's equations
Mean value property
Measurable
Measure space
Mechanical vibration
Minimal surface problem
Minimization problem
Minimization problem in static EIT imaging
Minimum-norm solution
Mixed boundary condition
Mixed boundary value problem
Mixing process
Modeling error
Monochromatic
Monotone convergence theorem
MR magnitude image
MR phase image
MRI
MRI scanner
Multi-frequency time-difference EIT (mftdEIT)
Negative Sobolev space
Neighboring data collection protocol
Neumann boundary condition
Neumann data
Neumann function
Neumann-to-Dirichlet (NtD) data
Newton's second law
Newton–Raphson algorithm
Newton–Raphson method
Noise in Bz
Noise standard deviation
Nonlinear system
Nonlinearity between admittivity and voltage
Norm
Normal equation
Normed linear space
Normed vector space
Nuclear magnetic resonance
Null space
Nyquist criterion
Orthogonal complement
Orthogonal term in fdEIT
Orthonormal basis
Oscillating magnetic field gradients
Outer measure
Outer product
Parallel MRI
Pattern matching
Permittivity
Perona–Malik model
Phase accumulation
Phase change
Phase encoding
Phase wrapping
Phasor
Poincaré inequality
Poisson equation
Poisson kernel
Poisson summation formula
Poisson's equation
Poisson's ratio
Preconditioned conjugate gradient algorithm
Preconditioner
Projection map
Projection matrix
Projection term in fdEIT
Projection theorem
Pseudo-inverse
Pseudo-inverse matrix
Pulse sequence
Radon transform
Radon–Nikodym
Radon–Nikodym derivative
Range space
Rank
Rayleigh distribution
Reciprocity error
Reciprocity property
Reciprocity theorem
Regularity theory
Regularization in EIT
Restricted isometry property
Riemann integral
Riesz representation theorem
Robin boundary condition
ROF model
Sampling theorem
Scaling uncertainty
Segmentation
Sensitivity analysis
Sensitivity in EIT
Sensitivity matrix
Sensitivity matrix based algorithm
Sensitivity problem
Series expansion
Shear modulus
Shear modulus image reconstruction
Shear stress
Signal-to-noise ratio (SNR)
Simple function
Simple voltage difference
Single-layer potential
Single-step local harmonic Bz algorithm
Singular value
Singular value decomposition (SVD)
Smoothness assumption of σ
Snake
Sobolev space
Sobolev's inequality
Span
Spark
Sparse sensing
Spatial resolution in EIT
Stability
Static imaging in EIT
Steepest descent minimization
Stiffness
Stiffness tensor
Stokes's theorem
Strain
Strain tensor
Stress
Stress tensor
Strong maximum principle
Subspace
Successive over-relaxation (SOR) method
System identification
System input
System output
System parameter
Systematic phase artifact
Taylor's approximation
Taylor's expansion
Tension
Tetrapolar method
Tikhonov regularization
Time-difference EIT (tdEIT)
Time-difference image
Time-difference imaging in EIT
Time-harmonic displacement
Time-harmonic voltage
Total variation
Total variation minimization problem
Trace formula
Trace inequality
Trace operator
Trans-admittance scanner
Trans-impedance
Transversely isotropic model
Truncated singular value decomposition (TSVD)
Truncation error
Two linearly independent currents
Two-electrode method
Ultrasound
Under-determined linear problem
Uniform boundedness principle
Uniqueness
Uniqueness in EIT
Uniqueness in MREIT
Variational Bz algorithm
Vector space
Vector space of matrix
Voigt notation
Von Neumann stability criterion
Wave equation
Weighted admittivity difference
Weighted voltage difference
Well-posedness
X-ray computed tomography
Young's modulus
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