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

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. I. INTRODUCTION S UPPOSE THAT WE are given a three-dimensional object which is represented by a function of three variables that only takes on the value 0 or 1. Imagine that a set of parallel straight lines is drawn through the three-dimensional object. A projection of the object is a two-dimensional picture which is obtained by integrating over the value of the function along these parallel lines. Our goal is to reconstruct an object from its orthogonal biplane projections. Researchers on three-dimensional object reconstruction have used such techniques as Fourier synthesis