RECONSTRUCTION OF A BOUNDARY REPRESENTATION MODEL FROM THREE ORTHOGRAPHIC PROJECTIONS: A GEOMETRICAL APPROACH

Abstract

A method is presented for creating a boundary representation model from engineering projections. Although the topic of this reconstruction method has been studied for a few years the fundamentals of reconstruction are rather scanty. In this paper we provide a combined geometrical and topological approach to reconstruction. All considerations are restricted to polyhedral objects that consist of only one shell and edges belonging to exactly two faces. The reconstruction problem is mathematically described by introducing dome definitions, and criteria are derived that allow to solve the reconstruction problem for the restricted class of objects provided that the three given projections define a three-dimensional object unambiguously.