3-D Object Reconstruction Method by Bézier Patches using a Subdivision Scheme

Abstract

A method of 3-D object reconstruction using Bézier patches with a subdivision scheme for recursive refinement of curved surface is described. The subdivision scheme is based first on using Bézier curves to approximate the boundaries of a surface patch, then on using Bézier patches to recursively approximate the curved surface. The advantage is that this method avoids the problem of ensuring the continuity of Bézier patches at the patch boundaries. A volume-approximation error metric is used to measure closeness of fit. The results of applying this method to shape 3-D object data from a slit-ray projection range system are presented. The advantage over the approximation method, which uses only planary patches, is demonstrated.