Abstract: Aiming at the difficult problem of design reuse of complex pattern feature on triangular mesh, a two-step strategy of reuse feature is proposed. Based on the theory of surface space vector translation, the position of the pattern feature is determined, and the correlation between the pattern instances is constructed by the two parameters of angle and geodesic distance. A localized parametric method based on the dual mesh is proposed, which makes the parametric result not affected by the method of evaluation vertex normal vector, which is insensitive to the noise and sharp features. On this basis, the shape control of the pattern instances is realized by Laplacian mesh deformation method, so that it fits the local surface shape. Finally, these specific algorithms to achieve patterns of circular rotation, along the curve and the directions are given in this paper. The experimental results show that the proposed method is robust and effective, and can be used in real-time interactive design of complex pattern features.

Key words: differential coordinates, parameterization, pattern, reuse, triangular mesh