Finite series-expansion reconstruction methods

Optimization by Vector Space Methods

1970 • 6,346 citations

Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography

1970 • 2,583 citations

The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming

1967 • 2,568 citations

Image reconstruction from projections : the fundamentals of computerized tomography

1980 • 2,055 citations

Iterative methods for the three-dimensional reconstruction of an object from projections

1972 • 1,311 citations

Image reconstruction from incomplete and noisy data

1978 • 945 citations

Restoring with Maximum Likelihood and Maximum Entropy*

1972 • 634 citations

The Relaxation Method for Linear Inequalities

1954 • 562 citations

An iterative row-action method for interval convex programming

1981 • 487 citations

Row-Action Methods for Huge and Sparse Systems and Their Applications

1981 • 480 citations

The Relaxation Method for Linear Inequalities

1954 • 454 citations

Iterative reconstruction algorithms

1976 • 447 citations

Projection method for solving a singular system of linear equations and its applications

1971 • 445 citations

Three-Dimensional Reconstruction from Projections: A Review of Algorithms

1974 • 334 citations

ART: Mathematics and applications

1973 • 325 citations

Iterative algorithms for large partitioned linear systems, with applications to image reconstruction

1981 • 268 citations

An algorithm for finding the distribution of maximal entropy

1979 • 247 citations

Strong underrelaxation in Kaczmarz's method for inconsistent systems

1983 • 221 citations

MENT: A maximum entropy algorithm for reconstructing a source from projection data

1979 • 214 citations

Block-iterative methods for consistent and inconsistent linear equations

1980 • 212 citations

Image reconstruction from projections : implementation and applications

1979 • 177 citations

Bregman's balancing method

1981 • 148 citations

Relaxation methods for image reconstruction

1978 • 135 citations

A Natural Pixel Decomposition for Two-Dimensional Image Reconstruction

1981 • 126 citations

A relaxation method for reconstructing objects from noisy X-rays

1975 • 123 citations

A NEW APPROACH TO THE EMISSION COMPUTERIZED TOMOGRAPHY PROBLEM: SIMULTANEOUS CALCULATION OF ATTENUATION AND ACTIVITY COEFFICIENTS

1980 • 119 citations

Solving linear algebraic equations can be interesting

1953 • 106 citations

Iterative three-dimensional image reconstruction from tomographic projections

1977 • 91 citations

Extensions of Hildreth’s Row-Action Method for Quadratic Programming

1980 • 84 citations

Entropy in linear programs

1981 • 84 citations

Methods of least squares and SIRT in reconstruction

1979 • 77 citations

Quadratic optimization for image reconstruction. I

1976 • 74 citations

Computerized Tomography with Unknown Sources

1983 • 74 citations

Statistical models for the image restoration problem

1980 • 70 citations

Reconstruction Tomography in Diagnostic Radiology and Nuclear Medicine

1978 • 68 citations

On some methods for entropy maximization and matrix scaling

1980 • 67 citations

Three-dimensional visualization of the intact thorax and contents: A technique for cross-sectional reconstruction from multiplanar X-ray views

1974 • 65 citations

A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology

1978 • 65 citations

On the Bayesian approach to image reconstruction

1979 • 63 citations

A note on solution of large sparse maximum entropy problems with linear equality constraints

1980 • 57 citations

Image Analysis and Evaluation

1978 • 56 citations

A Storage-Efficient Algorithm for Finding the Regularized Solution of a Large, Inconsistent System of Equations

1980 • 50 citations

Demonstration of a software package for the reconstruction of the dynamically changing structure of the human heart from cone beam X-ray projections

1980 • 42 citations

Quantitative imaging of the structure and function of the heart, lungs, and circulation.

1978 • 37 citations

Maximum entropy reconstruction from cone-beam projection data

1979 • 37 citations

Quadratic optimization for image reconstruction, II

1979 • 37 citations

QUANTITATIVE IMAGING OF THE STRUCTURE AND FUNCTION OF THE HEART, LUNGS, AND CIRCULATION

1979 • 34 citations

Cerebral Computed Tomography: A Text-Atlas

1979 • 31 citations

Iterative Three-Dimensional Reconstruction from Twin-Cone Beam Projections

1978 • 29 citations

Object Reconstruction from Projections and Some Non-Linear Extensions

1978 • 19 citations

The reconstruction of objects from shadowgraphs with high contrasts

1975 • 18 citations

Reconstruction of random objects from noisy projections

1977 • 17 citations

Nonlinear Image Reconstruction from Projections of Ultrasonic Travel Times and Electric Current Densities

1981 • 15 citations

MATHEMATICAL ASPECTS OF IMAGE RECONSTRUCTION FROM PROJECTIONS

1981 • 11 citations

The Identification Problem in Emission Computed Tomography

1981 • 10 citations

Maximum entropy image reconstruction from projections

1981 • 9 citations

THE ATTENUATED RADON TRANSFORM: APPLICATION TO SINGLE-PHOTON EMISSION COMPUTED TOMOGRAPHY IN THE PRESENCE OF A VARIABLE ATTENUATING MEDIUM

2013 • 1 citations