Today, it has become more frequent and relatively easy to digitize the surface of 3D objects and then to reconstruct a boundary representation (B-Rep). However, the obtained results suffer from various inaccuracies, mainly caused by noisy data. In this paper, we present an efficient method to detect and rectify many regularities approximately present in an object. We propose to extract global parallelism and orthogonality constraints, then locally and independently adjust the geometric primitives (planes, cylinders, spheres, cones). We first retrieve orientations from primitives (normals, axes), then compute an orthonormal coordinate system. Finally, we adjust each primitive orientation according to spherical coordinates. Our objective is to design a fast and automatic method, which is seldom seen in reverse engineering. Experimental results applied on reverse engineered 3D meshes show the efficiency and the robustness of our proposed method.