A high contrast and resolution reconstruction algorithm in quantitative photoacoustic tomography
DOI10.1016/j.cam.2024.116065zbMATH Open1544.35206MaRDI QIDQ6582019
Souvik Roy, Alfio Borzì, Anwesa Dey
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Pontryagin maximum principlequantitative photoacoustic tomographysequential quadratic Hamiltonian algorithmnonsmooth PDE optimization
Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
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- Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- A multigrid method for distributed parameter estimation problems
- Estimation techniques for distributed parameter systems
- A sequential quadratic Hamiltonian scheme for solving non-smooth quantum control problems with sparsity
- Regularity and geometric estimates for minima of discontinuous functionals
- Global gradient estimates in elliptic problems under minimal data and domain regularity
- Linear and quasilinear elliptic equations
- Direct Reconstruction Methods in Optical Tomography
- Quantitative Photoacoustic Tomography
- A gradient-based method for quantitative photoacoustic tomography using the radiative transfer equation
- A Hybrid Reconstruction Method for Quantitative PAT
- Multi-source quantitative photoacoustic tomography in a diffusive regime
- Reconstruction of the Optical Absorption Coefficient of a Small Absorber from the Absorbed Energy Density
- Computational Optimization of Systems Governed by Partial Differential Equations
- Stabilizing inverse problems by internal data
- Reconstructing absorption and scattering distributions in quantitative photoacoustic tomography
- On multi-spectral quantitative photoacoustic tomography in diffusive regime
- Inverse diffusion theory of photoacoustics
- Optimization and nonsmooth analysis
- Method of successive approximations for solution of optimal control problems
- On global convergence of an algorithm for optimal control
- Optical tomography in medical imaging
- A fully non-linear optimization approach to acousto-electric tomography
- Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
- A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography
- Limited-view multi-source quantitative photoacoustic tomography
- Inverse transport theory of photoacoustics
- On the SQH Scheme to Solve Nonsmooth PDE Optimal Control Problems
- Optical tomography as a PDE-constrained optimization problem
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