关键词: 高斯曲率, 曲面分片, 曲面反算拟合

Abstract: A surface partition algorithm is presented in this paper.The partition coefficient for a surface partition is defined as the ratio of the integration of the absolute value of Gaussian curvature of the surface to its area.The controlling value for the surface partition is defined by the summation of the partition coefficient of the accumulated surface elements.A doubly curved surface is divided into several patches through discretizing，re-fitting and surface element accumulating with the controlling value of surface partition is given.The partitioned surface patch can be approximately developed by controlling the summating value of the accumulated surface elements within certain controlling value.An example is given to show the effectiveness of the algorithm.

Key words: Gaussian curvature, surface partition, surface re-fitting