Reverse engineering of 3D industrial objects such as automobiles and electric appliances is
typically performed by fitting B-spline surfaces to scanned point cloud data with a fairing term
to ensure smoothness, which often smooths out sharp features. This paper proposes a
radically different approach to constructing fair B-spline surfaces, which consists of fitting a
surface without a fairing term to capture sharp edges, smoothing the normal field of the
constructed surface with feature preservation, and reconstructing the B-spline surface from …