90 citations · 201 across the 12 of their papers we have counts for
12 papers
Flow Measurement: An Inverse Problem Formulation
Jiwei Li, Lingyun Qiu, Zhongjing Wang +1
This paper proposes a new mathematical formulation for flow measurement based on the inverse source problem for wave equations with partial boundary measurement. Inspired by the de…
Few-shot Non-line-of-sight Imaging with Signal-surface Collaborative Regularization
Xintong Liu, Jianyu Wang, Leping Xiao +3
The non-line-of-sight imaging technique aims to reconstruct targets from multiply reflected light. For most existing methods, dense points on the relay surface are raster scanned t…
Non-line-of-sight imaging with arbitrary illumination and detection pattern
Xintong Liu, Jianyu Wang, Leping Xiao +3
Non-line-of-sight (NLOS) imaging aims at reconstructing targets obscured from the direct line of sight. Existing NLOS imaging algorithms require dense measurements at rectangular g…
Analysis of Seismic Inversion with Optimal Transportation and Softplus Encoding
Lingyun Qiu
This paper is devoted to theoretical and numerical investigation of the local minimum issue in seismic full waveform inversion (FWI). This paper provides a mathematical analysis of…
Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction
Habib Ammari, Lingyun Qiu, Fadil Santosa +1
In this paper we present a mathematical and numerical framework for a procedure of imaging anisotropic electrical conductivity tensor by integrating magneto-acoutic tomography with…
Applications of CGO Solutions on Coupled-Physics Inverse Problems
Ilker Kocyigit, Ru-Yu Lai, Lingyun Qiu +2
This paper surveys inverse problems arising in several coupled-physics imaging modalities for both medical and geophysical purposes. These include Photo-acoustic Tomography (PAT),…
Analysis of the Magneto-acoustic Tomography with Magnetic Induction (MAT-MI)
Lingyun Qiu, Fadil Santosa
Magnetoacoustic tomography with magnetic induction (MAT-MI) is a coupled-physics medical imaging modality for determining conductivity distribution in biological tissue. The capabi…
Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
Roman Andreev, Peter Elbau, Maarten V. de Hoop +2
In recent years, a series of convergence rates conditions for regularization methods has been developed. Mainly, the motivations for developing novel conditions came from the desir…
Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…
Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu
In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is comm…
Local Analysis of Inverse Problems: Hölder Stability and Iterative Reconstruction
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a…