The spherical mean value operator with centers on a sphere

From MaRDI portal
Publication:5434113

DOI10.1088/0266-5611/23/6/S04zbMath1136.44001MaRDI QIDQ5434113

No author found.

Publication date: 3 January 2008

Published in: Inverse Problems (Search for Journal in Brave)




Related Items (24)

Range description for a spherical mean transform on spaces of constant curvatureDiagonal spherical meansLeon Ehrenpreis, Recollections from the Recent DecadesMathematics of Hybrid Imaging: A Brief ReviewMethod of analytic continuation for the inverse spherical mean transform in constant curvature spacesApproximate image reconstruction in landscape reflection imagingImage reconstruction from radially incomplete spherical Radon dataPhotoacoustic inversion formulas using mixed data on finite time intervals*Mathematics of thermoacoustic tomographyExplicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann TracesRange conditions for a spherical mean transform and global extendibility of solutions of the Darboux equationAnalysis of the Linearized Problem of Quantitative Photoacoustic TomographyEncoding the electrodynamics in spatiotemporal boundariesExterior/interior problem for the circular means transform with applications to intravascular imagingApproximate marginalization of unknown scattering in quantitative photoacoustic tomographyOn steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equationsNumerical inversion and uniqueness of a spherical Radon transform restricted with a fixed angular spanMathematics of Photoacoustic and Thermoacoustic TomographyFREQUENCY DOMAIN RECONSTRUCTION FOR PHOTO- AND THERMOACOUSTIC TOMOGRAPHY WITH LINE DETECTORSPhotoacoustic tomography with direction dependent data: an exact series reconstruction approachAn inverse source problem connected with thermoacoustic imaging in multi-layer planar mediumMultiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic TomographyAn efficient numerical algorithm for the inversion of an integral transform arising in ultrasound imagingOn the exactness of the universal backprojection formula for the spherical means Radon transform




This page was built for publication: The spherical mean value operator with centers on a sphere