关键词: 细分, 插值, 逼近, 形状参数

Abstract: A class of interpolation and approximation blending binary 6-point subdivision scheme was presented. The smoothness of the scheme was analyzed by the Laurent polynomial method. The limit curve can reach C⁴ continuous. The Holder exponent of the limit curves was also calculated. Compared with the existing binary 6-point subdivision schemes, the proposed scheme achieves higher continuity and better approximating results. Furthermore, the uniform subdivision scheme is extended to the non-uniform subdivision scheme. Experimental results illustrate the effectiveness of the subdivision scheme and the role of the shape parameters.

Key words: subdivision, interpolation, approximation, shape parameter