The object 's surface often possesses some particular geometric continuities such as the continuity of position, of the tangent plane and even of curvature.

实体的表面一般都具有一定的光滑性，比如位置连续、切平面连续甚至曲率连续。

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We deduce the eigenvalues of 2-neighbors subdivision matrix of the scheme, and prove that the subdivision surface is convergent, and has property of tangent plane continuity.

通过对细分矩阵特征值的理论分析，证明了文中方法的细分极限曲面收敛且切平面连续。

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