T-spline surface smoothing based on 1-ring neighborhood space angle

Abstract

Abstract The prominent properties owned by T-spline, such as flexibility, continuity, local refinement, water tightness, make it extensively applied in Computer Aided Design (CAD)- and Computer Aided Engineering (CAE)-integrating scenarios. But the local fairness may dissatisfy in damaged areas or even on the entire surface of industry applications. Under these circumstances, local protrusion and sharp features appeared seriously affect the fairness of T-spline surfaces. Derived from the geometric properties of T-spline control points, we propose a smoothing algorithm based on the 1-ring neighborhood space angle to deal with local abruptions of T-spline surfaces. We also demonstrate the availability of the proposed algorithm through several experiments. Results show that this method is suitable for removing sharp features and smoothing unstructured T-spline surfaces.