G2 Connection of Bézier Patches around a Common Corner

In computer aided geometric design Bezier patches are usually used to approximate practical surfaces. In this paper, we divide the conditions of curvature continuity connection for Bezier surfaces into three groups and analyze them respectively. Through the analysis two methods for curvature continuity connection of Bezier surfaces around a common corner are presented on the conditions that all the beta
_i
ne 0 and only two beta
_i
= 0 respectively.