关键词: Doo-Sabin细分, 非均匀细分, 尖锐特征, 曲面造型

Abstract: To further promote the modeling ability of subdivision technology,a method for constructing sharp features of non-uniform Doo-Sabin subdivision surfaces was presented from the perspective of modifying subdivision rules.According to the curve interpolation theory based on non-uniform Doo-Sabin subdivision scheme,the subdivision geometric rules in the feature faces were derived and the continuities near the features were analyzed.If all knot spacings were greater than zero,the subdivision limit surface was of piecewise G1 smoothness when the edges of each face and the degree of each vertex were both less than eleven.The complicated surfaces of arbitrary topologies with various sharp features could be well represented,and the constructed boundaries and creases might be any generic quadric NURBS curves.In addition,some quadric surfaces such as spheres and cylinders could also be accurately represented with the weighted subdivision.

Key words: Doo-Sabin subdivision, non-uniform subdivision, sharp feature, surface modeling