Shape and location recovery of laser excitation sources in photoacoustic imaging using topological gradient optimization
DOI10.1016/J.CAM.2024.116047zbMATH Open1544.35203MaRDI QIDQ6582006
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
fractional derivativesinverse problemstopological derivative methodphotoacoustic imaginglaser excitation
Biomedical imaging and signal processing (92C55) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Sensitivity analysis for optimization problems on manifolds (49Q12) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A topological derivative method for topology optimization
- An inverse problem for a nonlinear diffusion equation with time-fractional derivative
- High-order finite element methods for time-fractional partial differential equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Image restoration and edge detection by topological asymptotic expansion
- Control of a mechanical aeration process via topological sensitivity analysis
- Topological optimization method for a geometric control problem in Stokes flow
- On the existence of a solution in a domain identification problem
- The fundamental solutions for the fractional diffusion-wave equation
- Incorporating topological derivatives into level set methods.
- The shape and topological optimizations' connection
- Global uniqueness in an inverse problem for time fractional diffusion equations
- Shape variation and optimization. A geometrical analysis
- Applications of the topological derivative method
- Topological sensitivity analysis based method for solving a geometry reconstruction problem
- An inverse problem study related to a fractional diffusion equation
- Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
- Maximum principle for the generalized time-fractional diffusion equation
- Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach
- Determination of the initial density in nonlocal diffusion from final time measurements
- Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation
- Regularization Methods for Ill-Posed Problems
- An inverse problem for a one-dimensional time-fractional diffusion problem
- A new non-iterative reconstruction method for the electrical impedance tomography problem
- A new one‐shot pointwise source reconstruction method
- Localization of small obstacles in Stokes flow
- Level set methods for geometric inverse problems in linear elasticity
- Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
- Topological asymptotic expansions for the generalized Poisson problem with small inclusions and applications in lubrication
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- Lagrange Multiplier Approach to Variational Problems and Applications
- On the Topological Derivative in Shape Optimization
- A Fast Local Level Set Method for Inverse Gravimetry
- Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source *
- Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations
- Inverse source problem for a diffusion equation involving the fractional spectral Laplacian
- On Geometric Inverse Problems in Time-Fractional Subdiffusion
- Time-Fractional Differential Equations
- A tutorial on inverse problems for anomalous diffusion processes
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- A noniterative reconstruction method for the inverse potential problem with partial boundary measurements
- The topological asymptotic expansion for the Quasi-Stokes problem
- Determination of source or initial values for acoustic equations with a time-fractional attenuation
This page was built for publication: Shape and location recovery of laser excitation sources in photoacoustic imaging using topological gradient optimization
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6582006)