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A NOTE ON TRANSMISSION EIGENVALUES IN

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This short note was motivated by our efforts to investigate whether there exists a half plane free of transmission eigenvalues for Maxwell's equations......

CAUCHY PROBLEM OF NON-HOMOGENOUS STOCHASTIC HEAT EQUATION AND APPLICATION TO INVERSE RANDOM SOURCE PROBLEM

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (4)

In this paper, a Cauchy problem of non-homogenous stochastic heat equation is considered together with its inverse source problem, where the source te......

INBETWEENING AUTO-ANIMATION VIA FOKKER-PLANCK DYNAMICS AND THRESHOLDING

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

We propose an equilibrium-driven deformation algorithm (EDDA) to simulate the inbetweening transformations starting from an initial image to an equili......

AN EFFICIENT MULTI-GRID METHOD FOR TV MINIMIZATION PROBLEMS

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

We propose an efficient multi-grid domain decomposition method for solving the total variation (TV) minimization problems. Our multi-grid scheme is de......

EDGE DETECTION WITH MIXED NOISE BASED ON MAXIMUM A POSTERIORI APPROACH

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

Edge detection is an important problem in image processing, especially for mixed noise. In this work, we propose a variational edge detection model wi......

VELOCITY MODELING BASED ON RAYLEIGH WAVE DISPERSION CURVE AND SPARSE OPTIMIZATION INVERSION

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This paper studies the S wave velocity modeling based on the Rayleigh wave dispersion curve inversion. We first discuss the forward simulation, and pr......

NEAR-FIELD IMAGING FOR AN OBSTACLE ABOVE ROUGH SURFACES WITH LIMITED APERTURE DATA

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This paper is concerned with the scattering and inverse scattering problems for a point source incident wave by an obstacle embedded in a two-layered ......

A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be ......

CONVERGENCE RATES OF TIKHONOV REGULARIZATION FOR RECOVERING GROWTH RATES IN A LOTKA-VOLTERRA COMPETITION MODEL WITH DIFFUSION

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

In this paper, we shall study the convergence rates of Tikhonov regularizations for the recovery of the growth rates in a Lotka-Volterra com-petition ......

LARGE REGION INPAINTING BY RE-WEIGHTED REGULARIZED METHODS

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

In the development of imaging science and image processing request in our daily life, inpainting large regions always plays an important role. However......

INVERSE OBSTACLE SCATTERING FOR ACOUSTIC WAVES IN THE TIME DOMAIN

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This paper concerns an inverse acoustic scattering problem which is to determine the location and shape of a rigid obstacle from time domain scattered......

PRECONDITIONED DOUGLAS-RACHFORD TYPE PRIMAL-DUAL METHOD FOR SOLVING COMPOSITE MONOTONE INCLUSION PROBLEMS WITH APPLICATIONS

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (4)

This paper is concerned with the monotone inclusion involving the sum of a finite number of maximally monotone operators and the parallel sum of two m......

PHASE RETRIEVAL FROM FOURIER MEASUREMENTS WITH MASKS

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

This paper concerns the problem of phase retrieval from Fourier measurements with random masks. Here we focus on researching two kinds of random masks......

A SAMPLING TYPE METHOD IN AN ELECTROMAGNETIC WAVEGUIDE

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (4)

We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on ......

A BAYESIAN LEVEL SET METHOD FOR AN INVERSE MEDIUM SCATTERING PROBLEM IN ACOUSTICS

期刊: INVERSE PROBLEMS AND IMAGING, 2021; 15 (5)

In this work, we are interested in the determination of the shape of the scatterer for the two dimensional time harmonic inverse medium scattering pro......

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