Abstract: In this article, we present a new technique for the reconstruction of 3D object models from its range data that obtained from an active 3D range finder based on object rotating. Our technique is to transform range data into Bezier control net points, then we use rational Bezier surfaces as approximation surfaces. In order to use this method, we discuss the problems of geometric continuity for rational Bezier surfaces. This problem is an open problems of CAGD. Concise conditions of first order and second order geometric continuity for rational triangular Bezier surfaces and between rational triangular Bezier patches and rational rectangular Bezier pat- ches are given. Meanwhile, the transformation formula between rational triangular patches and rational rectangular patchesare is obtained.