An SVD in Spherical Surface Wave Tomography
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Publication:4554176
DOI10.1007/978-3-319-70824-9_7zbMath1400.94020arXiv1706.05284OpenAlexW2624923093MaRDI QIDQ4554176
Daniel Potts, Ralf Hielscher, Michael Quellmalz
Publication date: 13 November 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.05284
Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Related Items (5)
Approximation properties of the double Fourier sphere method ⋮ The cone-beam transform and spherical convolution operators ⋮ A double Fourier sphere method for \(d\)-dimensional manifolds ⋮ Sliced optimal transport on the sphere ⋮ Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis
Uses Software
Cites Work
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- An inversion formula for the spherical transform in \(S^{2}\) for a special family of circles of integration
- Reconstructing a function on the sphere from its means along vertical slices
- Remarks on Stirling's formula and on approximations for the double factorial.
- A fast algorithm for nonequispaced Fourier transforms on the rotation group
- \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
- On a spherical integral transformation and sections of star bodies
- Spherical deconvolution
- Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples
- Lectures on constructive approximation. Fourier, spline, and wavelet methods on the real line, the sphere, and the ball
- Efficient reconstruction of functions on the sphere from scattered data
- Average section functions for star-shaped sets
- Functions on a sphere with vanishing integrals over certain subspheres
- Un théorème de support pour une transformation de Radon sur la sphère
- Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows
- A generalization of the Funk–Radon transform
- Integral Geometry and Radon Transforms
- Sampling Sets and Quadrature Formulae on the Rotation Group
- A mollifier method for linear operator equations of the first kind
- Optimal mollifiers for spherical deconvolution
- Reconstruction from Integral Data
- Sur la transformation de Radon de la sphère $S\sp d$
- Reconstruction from cone integral transforms
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry
- ON THE DETERMINATION OF STAR BODIES FROM THEIR HALF‐SECTIONS
- Fast evaluation of quadrature formulae on the sphere
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