Abstract: 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, Bézier 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 Bézier surface fast and efficiently.

Key words: Dynamic spacial index structure, G1-continuous, Triangular Bézier surface, Triangular mesh surface