G~1-continuous Algorithms of Triangular Mesh Surface

A new G1-continuous algorithm of triangular mesh surface is proposed, which includes four steps:first, the topological structure of the triangular mesh surface is organized by the dynamic spatial index structure; second, triangular patches are obtained based on dynamic spatial index structure, and their geometric characteristics are analyzed; third, surface patches of five degrees are elevated by surface patches of three degrees that are reconstructed by the geometric characteristics of the triangular patches; fourth, Bezier surface is obtained through the G1-continuous of the surface patches of five degrees, and it is proved that it has adaptability and can obtain the G1-continuous Bezier surface fast and efficiently.