3D Fourier based discrete Radon transform.

DOI10.1016/S1063-5203(03)00030-7zbMath1035.65158MaRDI QIDQ1406573

Yoel Shkolnisky, Amir Z. Averbuch

Publication date: 4 September 2003

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

zbMATH Keywords

Radon transformfast Fourier transformreconstruction algorithmsdiscrete Radon transformslice theorempseudo-polar Fourier transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for integral transforms (65R10)

Related Items

Fast and accurate polar Fourier transform, Fast Algorithms and Efficient GPU Implementations for the Radon Transform and the Back-Projection Operator Represented as Convolution Operators, 3-D symmetry detection and analysis using the pseudo-polar Fourier transform, Piecewise polynomial inversion of the Radon transform in three space dimensions via plane integration and applications in positron emission tomography, Smoothing of Radon projections type of data by bivariate polynomials, Reference free structure determination through eigenvectors of center of mass operators, 3D discrete X-ray transform, Direct Inversion of the Three-Dimensional Pseudo-polar Fourier Transform, Two simple shearlet-based inverses for the multidimensional Radon and John transforms

Cites Work

• Mathematical Methods in Image Reconstruction
• Fourier volume rendering
• The Fractional Fourier Transform and Applications
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