Journal ArticleDOI
Discrete Radon transform in a continuous space
TLDR
A discrete Radon transform in a continuous space is discussed in order to establish an analytically exact method to synthesize projections from discretely sampled data.Abstract:
We discuss a discrete Radon transform in a continuous space in order to establish an analytically exact method to synthesize projections from discretely sampled data. The method shown is based on sampling theory and assumes that an object is band limited. Comparisons with conventional projection methods, namely, linear interpolation and pixel projection, are shown together with a computer simulation.read more
Citations
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Practical considerations for 3-D image reconstruction using spherically symmetric volume elements
Samuel Matej,Robert M. Lewitt +1 more
TL;DR: Experiments show that using blobs in iterative reconstruction methods leads to substantial improvement in the reconstruction performance, based on visual quality and on quantitative measures, in comparison with the voxel case.
Journal ArticleDOI
Three-dimensional computed tomography for optical microscopes
TL;DR: In this paper, a 3D optical imaging method based on computed tomography techniques is presented, which has a higher band spherically, since 3D reconstructed images are composed only of the in-focused information of objects.
Iterative Filtered Backprojection Methods for Helical Cone-Beam CT
TL;DR: State-of-the-art reconstruction algorithms for medical helical cone-beam Computed Tomography (CT) are of type non-exact Filtered Backprojection (FBP) because of their simpliciticity.
Journal ArticleDOI
Radial Imaging With Multipolar Magnetic Encoding Fields
Gerrit Schultz,Hans Weber,Daniel Gallichan,Walter R Witschey,Anna Welz,Chris A. Cocosco,Jürgen Hennig,Maxim Zaitsev +7 more
TL;DR: Reconstruction methods for radial magnetic resonance imaging (MRI) data which were spatially encoded using a pair of orthogonal multipolar magnetic fields for in-plane encoding and parallel imaging are presented and it is shown that a direct method exists in addition to iterative reconstruction.
Combining analytical and iterative reconstruction in helical cone-beam CT
TL;DR: Contemporary algorithms employed for reconstruction of 3D volumes from helical cone beam projections are so called non-exact algorithms, which means that the reconstructed volumes contain artifacts that are not identical to the original ones.
References
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Journal ArticleDOI
The Fourier reconstruction of a head section
L. A. Shepp,B. F. Logan +1 more
TL;DR: The authors compare the Fourier algorithm and a search algorithm using a simulated phantom to speed the search algorithm by using fewer interactions leaves decreased resolution in the region just inside the skull which could mask a subdural hematoma.
Journal ArticleDOI
Three-dimensional Reconstruction from Radiographs and Electron Micrographs: Application of Convolutions instead of Fourier Transforms
TL;DR: Tests of the convolution method with computer-simulated shadowgraphs show that it is also more accurate than the Fourier transform method, and has good potentialities for application in electron microscopy and x-radiography.
Journal ArticleDOI
Tomographic Image Reconstruction from Incomplete View Data by Convex Projections and Direct Fourier Inversion
M. Ibrahim Sezan,Henry Stark +1 more
TL;DR: An algorithm is designed and applied which interpolates/extrapolates the missing Fourier domain information by POCS and reconstructs an image by DFM and a simulated human thorax cross section is restored and reconstructed.
Journal ArticleDOI
A Natural Pixel Decomposition for Two-Dimensional Image Reconstruction
TL;DR: In two-dimensional image reconstruction from line integrals using maximum likelihood, Bayesian, or minimum variance algorithms, the x-y plane on which the object estimate is defined is decomposed into nonoverlapping regions, or "pixels".
Journal ArticleDOI
Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces
TL;DR: The results of computer simulations show clearly how the process of forcing the image to conform to a priori object data reduces artifacts arising from limited data available in the Fourier domain.