Back to search

Reconstruction algorithms: Transform methods

Data up to Jan 2025

Published1983
Citations386
References79

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

Cited By (0)

Loading...
Reconstruction algorithms: Transform methods (1983) – Proceedings of the IEEE | Metascience Observatory Explorer