Space-dependent Sobolev gradients as a regularization for inverse radiative transfer problems

DOI10.1155/2016/3543571zbMath1400.65065OpenAlexW2316901784WikidataQ59130882 ScholiaQ59130882MaRDI QIDQ1793010

D. R. Rousse, D. Le Hardy, F. Dubot, B. Rousseau, Yann Favennec

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3543571

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Numerical methods for inverse problems for integral equations (65R32)

Related Items (2)

Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method ⋮ Inner product preconditioned trust-region methods for frequency-domain full waveform inversion

Uses Software

• FreeFem++
• L-BFGS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optical tomography reconstruction algorithm with the finite element method: an optimal approach with regularization tools
• Image segmentation with a Sobolev gradient method
• Inverse reconstruction of initial and boundary conditions of a heat transfer problem with accurate final state
• Fast three-dimensional temperature reconstruction
• On the limited memory BFGS method for large scale optimization
• Adjoint-based optimization of PDE systems with alternative gradients
• Application of Sobolev gradient method to Poisson-Boltzmann system
• A computational framework for the regularization of adjoint analysis in multiscale PDE systems.
• Inversion study of vertical eddy viscosity coefficient based on an internal tidal model with the adjoint method
• Optimal algorithms and the BFGS updating techniques for solving unconstrained nonlinear minimization problems
• Aerodynamic optimal shape design based on body-fitted grid generation
• Statistical and computational inverse problems.
• A wavelet multi-scale method for the inverse problem of diffuse optical tomography
• A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation
• Practical Optimization
• A fully equivalent global pressure formulation for three-phases compressible flows
• Optical tomography in medical imaging
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Quasi-Newton methods in optical tomographic image reconstruction
• New development in freefem++
• Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Space-dependent Sobolev gradients as a regularization for inverse radiative transfer problems