Sonic Imaging
DOI10.1007/978-1-4939-0790-8_37zbMath1334.35361OpenAlexW4241294012MaRDI QIDQ2789823
Publication date: 2 March 2016
Published in: Handbook of Mathematical Methods in Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0790-8_37
frequency domainwave equationinverse problemtime domainHelmholtz equationKaczmarz methodBorn approximationultrasound tomography
Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Reflectors in wave equation imaging
- Inverse scattering as nonlinear tomography
- Iterative time-reversal control for inverse problems
- Reconstructions from boundary measurements
- A modified gradient method for two-dimensional problems in tomography
- Stability in diffraction tomography and a nonlinear ``basic theorem
- Marching schemes for inverse acoustic scattering problems
- Mathematical Methods in Image Reconstruction
- On the numerical solution of a three-dimensional inverse medium scattering problem
- Supercomputer technologies in inverse problems of ultrasound tomography
- Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
- AN ALGORITHM FOR THE FULLY NONLINEAR INVERSE SCATTERING PROBLEM AT FIXED FREQUENCY
- Reflection imaging without low frequencies
- Fréchet Derivatives for Some Bilinear Inverse Problems
- General Solution of the Luneberg Lens Problem
- Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media
- Dynamical variant of the BC-method: theory and numerical testing
- Iterative method for multi-dimensional inverse scattering problems at fixed frequencies
- Inverse scattering via Heisenberg's uncertainty principle
- Theory and applications of time reversal and interferometric imaging
- Phase contrast tomography using holographic measurements
- Time reversal techniques in ultrasonic nondestructive testing of scattering media
- An error bound for the Born approximation
- A propagation-backpropagation method for ultrasound tomography
- Reflection imaging of layered media without using low frequencies
- Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
- The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
- Level set methods for inverse scattering
- Inverse acoustic and electromagnetic scattering theory