Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles
DOI10.1016/j.acha.2011.01.005zbMath1227.42033OpenAlexW2008257615WikidataQ58038900 ScholiaQ58038900MaRDI QIDQ643636
Milton Ferreira, Gerd Teschke, Paula Cerejeiras, Uwe Kaehler
Publication date: 2 November 2011
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2011.01.005
Radon transformatomic decompositionsframesGabor framesrotation groupsparse recoverycoorbit theorycrystallographic recovery problemcrystallographic texture analysisGabor atoms
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Radon transform (44A12) General harmonic expansions, frames (42C15) Numerical methods for inverse problems for integral equations (65R32)
Related Items (3)
Cites Work
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- Position-frequency analysis for signals defined on spheres
- Accelerated projected gradient method for linear inverse problems with sparsity constraints
- Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
- Multi-frame representations in linear inverse problems with mixed multi-constraints
- Subdivision schemes for the fair discretization of the spherical motion group
- Iteratively solving linear inverse problems under general convex constraints
- Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases
- On efficient computation of multidimensional oscillatory integrals with local Fourier bases.
- Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere
- Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising
- Weighted coorbit spaces and Banach frames on homogeneous spaces
- Optimized local trigonometric bases
- A compressive Landweber iteration for solving ill-posed inverse problems
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- The spherical X‐ray transform
- Characteristics of the ultrahyperbolic differential equation governing pole density functions
- Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints
- The Radon transform on SO(3): a Fourier slice theorem and numerical inversion
- A one-dimensional Radon transform onSO(3) and its application to texture goniometry
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