X-ray Tomography of One-forms with Partial Data
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Publication:4990078
DOI10.1137/20M1344779zbMath1477.46047arXiv2006.05790OpenAlexW3163765311WikidataQ109746413 ScholiaQ109746413MaRDI QIDQ4990078
Joonas Ilmavirta, Keijo Mönkkönen
Publication date: 28 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.05790
Integral transforms in distribution spaces (46F12) Radon transform (44A12) Differential forms in global analysis (58A10)
Related Items (2)
Partial data problems and unique continuation in scalar and vector field tomography ⋮ Unique continuation results for certain generalized ray transforms of symmetric tensor fields
Cites Work
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- The attenuated ray transform on simple surfaces
- Tensor tomography: progress and challenges
- Application of Sharafutdinov's ray transform in integrated photoelasticity
- Elliptic partial differential equations of second order
- The X-ray transform on a general family of curves on Finsler surfaces
- Inverting the local geodesic X-ray transform on tensors
- Microlocal analaysis of the Doppler transform on \(\mathbb{R}^3\)
- Integral geometry for tensor fields. Transl. from the Russian
- Support theorems for the transverse ray transform of tensor fields of rank \(m\)
- The Calderón problem for the fractional Schrödinger equation
- The Mathematics of Computerized Tomography
- Mathematical Methods in Image Reconstruction
- Stability of the interior problem with polynomial attenuation in the region of interest
- Integral Geometry and Radon Transforms
- 4. Integral geometry on manifolds with boundary and applications
- 9. The importance of the Radon transform in vector field tomography
- Tomographic reconstruction of vector fields
- Solving the interior problem of computed tomography usinga prioriknowledge
- High-order total variation minimization for interior tomography
- The 3D Doppler transform: elementary properties and computation of reconstruction kernels
- Integral geometry problems for symmetric tensor fields with incomplete data
- Doppler tomography for vector fields
- Generalized V-line transforms in 2D vector tomography
- Unique continuation of the normal operator of the x-ray transform and applications in geophysics
- Wavelet methods for a weighted sparsity penalty for region of interest tomography
- Mixed ray transform on simple 2-dimensional Riemannian manifolds
- Diffraction tomography of strain
- Inversion of the x-ray transform for 3D symmetric tensor fields with sources on a curve
- Slice-by-slice reconstruction algorithm for vector tomography with incomplete data
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