Stability of the interior problem with polynomial attenuation in the region of interest
In many practical applications, it is desirable to solve the interior problem of tomography
without requiring knowledge of the attenuation function fa on an open set within the region of …
without requiring knowledge of the attenuation function fa on an open set within the region of …
Solving the interior problem of computed tomography using a priori knowledge
A case of incomplete tomographic data for a compactly supported attenuation function is
studied. When the attenuation function is a priori known in a subregion, we show that a …
studied. When the attenuation function is a priori known in a subregion, we show that a …
High-order total variation minimization for interior tomography
Recently, an accurate solution to the interior problem was proposed based on the total
variation (TV) minimization, assuming that a region of interest (ROI) is piecewise constant. In …
variation (TV) minimization, assuming that a region of interest (ROI) is piecewise constant. In …
Interior tomography using 1D generalized total variation. Part I: Mathematical foundation
Motivated by the interior tomography problem, we propose a method for exact reconstruction
of a region of interest of a function from its local Radon transform in any number of …
of a region of interest of a function from its local Radon transform in any number of …
[引用][C] Stability of the inverse problem in scattering theory
VA Marčenko - Mathematics of the USSR-Sbornik, 1968 - iopscience.iop.org
STABILITY OF THE INVERSE PROBLEM IN SCATTERING THEORY Page 1 Mathematics of the
USSR-Sbornik STABILITY OF THE INVERSE PROBLEM IN SCATTERING THEORY To cite this …
USSR-Sbornik STABILITY OF THE INVERSE PROBLEM IN SCATTERING THEORY To cite this …
Stability estimate for a semilinear elliptic inverse problem
M Choulli, G Hu, M Yamamoto - Nonlinear Differential Equations and …, 2021 - Springer
We establish a logarithmic stability estimate for the inverse problem of determining the
nonlinear term, appearing in a semilinear boundary value problem, from the corresponding …
nonlinear term, appearing in a semilinear boundary value problem, from the corresponding …
Tomography with a finite set of projections: singular value decomposition and resolution
A Caponnetto, M Bertero - Inverse problems, 1997 - iopscience.iop.org
The problem of tomography with a finite set of projections has been the object of many
investigations. In particular the formulae for the generalized solution and the singular values …
investigations. In particular the formulae for the generalized solution and the singular values …
On a local solvability and stability of the inverse transmission eigenvalue problem
N Bondarenko, S Buterin - Inverse Problems, 2017 - iopscience.iop.org
On a local solvability and stability of the inverse transmission eigenvalue problem -
IOPscience Skip to content IOP Science home Accessibility Help Search Journals Journals …
IOPscience Skip to content IOP Science home Accessibility Help Search Journals Journals …
[PDF][PDF] Stability result for the inverse transmissivity problem
H Bellout - Journal of mathematical analysis and applications, 1992 - core.ac.uk
Stability Result for the Inverse Transmissivity Problem ur = (aj%,).x, in QT, (0.1) 4x, t) =f'(x, t)
on rT, 4x9 0) =ql(x) Page 1 JOURNAL OF MATHEMATICAL ANALYSIS AND …
on rT, 4x9 0) =ql(x) Page 1 JOURNAL OF MATHEMATICAL ANALYSIS AND …
A uniqueness theorem for a boundary inverse problem
AG Ramm - Inverse Problems, 1988 - iopscience.iop.org
Let D contained in/implied by R 3 be a bounded domain with a smooth boundary Gamma,-
Delta u+ q (x) u= 0 in D u= f, u N= h on Gamma and q (x) in L infinity (D). From knowledge of …
Delta u+ q (x) u= 0 in D u= f, u N= h on Gamma and q (x) in L infinity (D). From knowledge of …