Surface determination using outlines of multiple projections of an object

Abstract

An extension is given for general closed surfaces based on the earlier reconstruction method for a closed convex surface. It fits an object surface with a polyhedral model using outlines taken from multiple projections of the object. Initially, the model is defined as a tetrahedron, whose center of gravity is matched to that of the object. Next, it either moves each vertex of the model by calculating the most appropriate shift vector or adds a new vertex to the model. The two procedures are repeated till the number of vertices of polyhedral model reaches a given value. The result of experiments using photographs of an object shows a relative error of projection fitness of around 3%.