Reconstruction algorithms: Transform methods
Data up to Jan 2025
Total Citations Per Year
Abstract
References (79)
Handbook of Mathematical Functions.
1966 • 8,183 citations
The Fourier reconstruction of a head section
1974 • 2,119 citations
Image reconstruction from projections : the fundamentals of computerized tomography
1980 • 2,055 citations
Theory and application of digital signal processing
1975 • 1,975 citations
Digital signal processing
1976 • 1,798 citations
Representation of a Function by Its Line Integrals, with Some Radiological Applications
1963 • 1,358 citations
The Fourier transform and its applications
1980 • 1,225 citations
Three-dimensional Reconstruction from Radiographs and Electron Micrographs: Application of Convolutions instead of Fourier Transforms
1971 • 955 citations
The reconstruction of a three-dimensional structure from projections and its application to electron microscopy
1970 • 941 citations
Principles of computer assisted tomography (CAT) in radiographic and radioisotopic imaging
1976 • 719 citations
Strip Integration in Radio Astronomy
1956 • 667 citations
Radiology of the Skull and Brain
1979 • 618 citations
Inversion of Fan-Beam Scans in Radio Astronomy
1967 • 614 citations
Representation of a Function by Its Line Integrals, with Some Radiological Applications. II
1964 • 558 citations
Optimal short scan convolution reconstruction for fan beam CT
1982 • 509 citations
Iterative reconstruction algorithms
1976 • 447 citations
Digital reconstruction of multidimensional signals from their projections
1974 • 437 citations
The radon transform on euclidean space
1966 • 398 citations
On bandwidth
1976 • 394 citations
On bandwidth
1976 • 391 citations
Reconstructive tomography and applications to ultrasonics
1979 • 385 citations
Practical and mathematical aspects of the problem of reconstructing objects from radiographs
1977 • 353 citations
The Radon Transform
1980 • 342 citations
Three-Dimensional Reconstruction from Projections: A Review of Algorithms
1974 • 334 citations
Computerized tomography with X-ray, emission, and ultrasound sources
1979 • 268 citations
The reconstruction of three-dimensional structure from projections and its application to electron microscopy II. Direct methods
1972 • 244 citations
Computerized Tomography: The New Medical X-Ray Technology
1978 • 195 citations
The Fast Fourier Transform
1975 • 183 citations
Introduction to computer aided tomography
1978 • 182 citations
Direct Fourier reconstruction in computer tomography
1981 • 180 citations
Reconstruction of Three-Dimensional Refractive Index Fields from Multidirectional Interferometric Data
1973 • 177 citations
Sampling the 2-D Radon transform
1981 • 160 citations
Computer implementation of image reconstruction formulas
1979 • 153 citations
Image reconstruction from finite numbers of projections
1973 • 146 citations
Tomographical imaging with limited-angle input
1981 • 144 citations
Computerized Tomography: The New Medical X-Ray Technology
1978 • 138 citations
On the reconstruction of a function on a circular domain from a sampling of its line integrals
1974 • 132 citations
The angles between the null spaces of X rays
1978 • 122 citations
An iterative method for the extrapolation of band-limited functions
1981 • 122 citations
Convolution reconstruction techniques for divergent beams
1976 • 118 citations
Fan-beam reconstruction methods
1979 • 110 citations
The exponential edge-gradient effect in X-ray computed tomography
1981 • 105 citations
Processing of incomplete measurement data in computed tomography
1979 • 97 citations
Density reconstruction using arbitrary ray-sampling schemes
1978 • 92 citations
Overview of computerized tomography with emphasis on future developments
1983 • 87 citations
Interpolation and Fourier transformation of fringe visibilities
1974 • 86 citations
IMAGE RECONSTRUCTION FROM PROJECTIONS: III. PROJECTION COMPLETION METHODS (THEORY).
1978 • 85 citations
The reconstruction of fan-beam data by filtering the back-projection
1979 • 77 citations
Three methods for reconstructing objects from x rays: A comparative study
1973 • 77 citations
Picture reconstruction from projections in restricted range
1980 • 73 citations
A New Approach to Interpolation in Computed Tomography
1978 • 69 citations
Computed Tomography with Fan Beam Geometry
1977 • 67 citations
Direct fourier transform techniques in 3-D image reconstruction
1976 • 61 citations
Aliasing
1979 • 58 citations
A one-parameter circular aperture distribution with narrow beamwidth and low sidelobes
1976 • 51 citations
Theory of circular harmonic image reconstruction
1981 • 51 citations
Image reconstruction in radio astronomy
1979 • 43 citations
The Inverse Discrete Radon Transform with Applications to Tomographic Imaging Using Projection Data
1981 • 38 citations
The use of phantom views to reduce CT streaks due to insufficient angular sampling
1982 • 35 citations
Convolution Algorithms for Arbitrary Projection Angles
1979 • 32 citations
The effects of sampling on CT images
1980 • 30 citations
Short-Scan Fan-Beam Algorithms for Cr
1980 • 29 citations
Circular harmonic image reconstruction: experiments
1981 • 28 citations
The accurate calculation of fourier integrals by the Fast Fourier Transform technique
1973 • 21 citations
The shadow transform: An approach to cross sectional imaging
1974 • 20 citations
Spatial Filtering to Improve Transverse Tomography
1974 • 19 citations
A Simulation Study of Aliasing in Computed Tomography
1979 • 18 citations
Introduction to computerized tomography
1976 • 17 citations
Circular and extended circular harmonic transforms and their relevance to image reconstruction from line integrals
1981 • 16 citations
<title>Image Reconstruction With Limited View Angle Projections</title>
1982 • 14 citations
Tomographic image reconstruction from limited projections using coherent optical feedback
1981 • 13 citations
MATHEMATICAL ASPECTS OF IMAGE RECONSTRUCTION FROM PROJECTIONS
1981 • 11 citations
Incoherent optical processor for x-ray transaxial tomography
1981 • 10 citations
Digital reconstruction of images from their projections in polar coordinates
1981 • 7 citations
Computer generated holograms for processing radiographic data
1972 • 7 citations
Use of richardson extrapolation for the numerical calculation of fourier transforms
1976 • 6 citations
The accuracy of finite fourier transforms
1975 • 6 citations
THE NONLINEAR PARTIAL VOLUME ARTIFACT
1979 • 5 citations
Reconstructing a Function by Circular Harmonic Analysis of Its Radon Transform
1985 • 2 citations