Optimal transportation for electrical impedance tomography

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Optimal transportation (49Q22)

Cites Work

Unnamed Item
Unnamed Item
Numerical solution of the optimal transportation problem using the Monge-Ampère equation
Application of the Wasserstein metric to seismic signals
Tomographic reconstruction from a few views: a multi-marginal optimal transport approach
Boundary regularity of maps with convex potentials. II
Electrical impedance tomography using level set representation and total variational regularization
On the design of a reflector antenna. II
Transportation distances on the circle
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Solving electrical impedance tomography with deep learning
The quadratic Wasserstein metric for earthquake location
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
On an inverse boundary value problem
Automating the finite element method
Optimal mass transport for registration and warping
Mathematical Methods of Organizing and Planning Production
Convolutional wasserstein distances
An optimal transport approach for seismic tomography: application to 3D full waveform inversion
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization
Inverse scattering problems with multi-frequencies
Electrical impedance tomography and Calderón's problem
Polar factorization and monotone rearrangement of vector‐valued functions
A variational algorithm for electrical impedance tomography
Electrical Impedance Tomography
Enhanced Electrical Impedance Tomographyviathe Mumford–Shah Functional
Sparse Reconstruction by Separable Approximation
Electrical impedance tomography
The quadratic Wasserstein metric for inverse data matching
Wasserstein-Based Projections with Applications to Inverse Problems
Numerical solution of inverse problems by weak adversarial networks
A graph space optimal transport distance as a generalization of L ^p distances: application to a seismic imaging inverse problem
Comparison between W₂ distance and Ḣ⁻¹ norm, and Localization of Wasserstein distance
Fast Transport Optimization for Monge Costs on the Circle
Convex Analysis
Numerical implementation of a variational method for electrical impedance tomography
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping
Optimal Transport
Sobolev gradients and differential equations
Polar factorization of maps on Riemannian manifolds