Radon transform inversion using the shearlet representation

DOI10.1016/j.acha.2009.10.005zbMath1196.65206OpenAlexW2038589876MaRDI QIDQ982557

Kanghui Guo, Demetrio Labate, Flavia Colonna, Glenn R. Easley

Publication date: 7 July 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2009.10.005

zbMATH Keywords

inverse problemsimage reconstructionfractional derivativedirectional waveletsinversion of Radon transformwavelets representation

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

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Uses Software

• ShearLab

Cites Work

• Unnamed Item
• Sparse directional image representations using the discrete shearlet transform
• The Radon transform
• Wavelet filtering of filtered backprojection in computed tomography
• Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Mathematical Methods in Image Reconstruction
• Ideal spatial adaptation by wavelet shrinkage
• A Wavelet Shrinkage Approach to Tomographic Image Reconstruction
• Wavelet methods for inverting the Radon transform with noisy data
• Wavelets with composite dilations
• Shearlet-Based Total Variation Diffusion for Denoising
• Shearlet-Based Deconvolution
• Optimally Sparse Multidimensional Representation Using Shearlets
• Representation of a Function by Its Line Integrals, with Some Radiological Applications
• Representation of a Function by Its Line Integrals, with Some Radiological Applications. II
• Fast Discrete Curvelet Transforms
• An introduction to frames and Riesz bases

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