Inversion of circular means and the wave equation on convex planar domains

From MaRDI portal
Publication:2376754

DOI10.1016/j.camwa.2013.01.036zbMath1266.65160arXiv1206.1246OpenAlexW2031422162MaRDI QIDQ2376754

Markus Haltmeier

Publication date: 24 June 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1246




Related Items (25)

Theoretically exact photoacoustic reconstruction from spatially and temporally reduced dataPhotoacoustic inversion formulas using mixed data on finite time intervals*The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary dataExplicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann TracesIterative methods for photoacoustic tomography in attenuating acoustic mediaA Galerkin Least Squares Approach for Photoacoustic TomographyEfficient regularization with wavelet sparsity constraints in photoacoustic tomographyMicrolocal analysis for spherical Radon transform: two nonstandard problemsAn inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensionsRecovering functions from the spherical mean transform with data on an ellipse using eigenfunction expansion in elliptical coordinatesRecovering finite parametric distributions and functions using the spherical mean transformThe quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equationsOperator learning approach for the limited view problem in photoacoustic tomographyRecovering the Initial Data of the Wave Equation from Neumann TracesPhotoacoustic tomography with direction dependent data: an exact series reconstruction approachReconstruction algorithms for photoacoustic tomography in heterogeneous damping mediaDeep learning for photoacoustic tomography from sparse dataRecovering a Function from Circular Means or Wave Data on the Boundary of Parabolic DomainsThe universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfacesAn algorithm for total variation regularized photoacoustic imagingMotion Estimation and Correction in Photoacoustic Tomographic ReconstructionAnalysis of Iterative Methods in Photoacoustic Tomography with Variable Sound SpeedA parametrix method in integral geometryOn the exactness of the universal backprojection formula for the spherical means Radon transformCarleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations




This page was built for publication: Inversion of circular means and the wave equation on convex planar domains