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Journal ArticleDOI

The Reconstruction of Three-Dimensional Objects from Two Orthogonal Projections and its Application to Cardiac Cineangiography

Shi-Kuo Chang, +1 more
- 01 Jan 1973 - 
- Vol. 22, Iss: 1, pp 18-28
TLDR
A method is developed for the reconstruction of a two-dimensional convex symmetric object from two orthogonal projections and application of this technique to cardiac cineangiography is discussed.
Abstract
A method is developed for the reconstruction of a two-dimensional convex symmetric object from two orthogonal projections. To reconstruct a three-dimensional object, the object is divided into thin slices and the slices are individually reconstructed. An experimental result of the reconstruction of a clay model from its X-ray pictures is described. Applicability of this technique to cardiac cineangiography is discussed.

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Citations
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Journal ArticleDOI

Mathematical model of geometry and fibrous structure of the heart.

TL;DR: These methods provide a compact and accurate anatomic description of the ventricles suitable for use in finite element stress analysis, simulation of cardiac electrical activation, and other cardiac field modeling problems.
Journal ArticleDOI

Digital reconstruction of multidimensional signals from their projections

TL;DR: A tutorial review of the reconstruction problem and some of the algorithms which have been proposed for its solution, and a number of new algorithms that appear to have some advantages over previous algorithms are presented.
Book ChapterDOI

Three-dimensional reconstruction from projections: a review of algorithms.

TL;DR: This chapter provides an overview of three-dimensional reconstruction from projections and reviews the algorithms that have been proposed to solve the reconstruction problem.
Journal ArticleDOI

Reconstructing convex polyominoes from horizontal and vertical projections

TL;DR: Some operations for recontructing convex polyominoes by means of vectors H's and V's partial sums allows a new algorithm to be defined whose complexity is less than O(n2m2).
References
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Journal ArticleDOI

The Estimation of the Parameters of a Linear Regression System Obeying Two Separate Regimes

TL;DR: In this article, the authors proposed a maximum likelihood estimating procedure based on a direct examination of the likelihood function, and used a small sample test to test the hypothesis that no switch occurred against the single alternative that one switch took place.
Journal ArticleDOI

The Reconstruction of a Three-Dimensional Structure from Projections and its Application to Electron Microscopy

TL;DR: In this paper, the Fourier transform is used to combine data from a number of different views of a transmission electron micrograph to reconstruct a 3D image of a given particle to a given degree of resolution.

Picture processing by computer

TL;DR: The field of picture processing by computer is reviewed from a technique-oriented standpoint and the processing of given pictures (as opposed to computer-synthesized pictures) is considered.
Journal ArticleDOI

Three dimensional reconstructions of spherical viruses by fourier synthesis from electron micrographs.

TL;DR: Methods are developed for computing three dimensional density maps from transmission electron micrographs using Fourier transforms, which gives clear reconstructions of their surface structures when applied to negatively stained spherical viruses.
Journal ArticleDOI

Reconstruction of pictures from their projections

TL;DR: Three algorithms are described (all using Monte Carlo methods) which were designed to solve the problem of estimating gray levels of a digital picture at the individual points from the sums of the gray levels along straight lines (projections) at a few angles.
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