一种自适应渐进插值的Loop细分方法

An adaptive Loop subdivision scheme based on progressive interpolation

提出了一种自适应插值Loop细分方法,利用Loop细分方法的极限点公式,采用迭代方法反复增加网格的顶点来构建Loop插值曲面.新生成的顶点只与其邻域的顶点有关联.在细分的过程中,以二面角为细分准则来实现Loop曲面的自适应细分.该方法是一种局部方法,即计算简单、易于实现,又能在保证曲面特征的情况下减少Loop细分产生的大量数据、节省存储空间,适用于曲面模型的网络传输.

An adaptive method for interpolating the Loop surface was proposed,which uses the limit point formula of Loop subdivision,and repeatedly constructs loop interpolation surface by iterating the vertices of the mesh.The newly generated vertices are only related to the vertices of the neighborhood.It implements adaptive subdivision of Loop surface with dihedral angle as subdivision criterion.Featured with locality,simple calculation and easy implementation,this method can not only reduce the amount of data generated by Loop subdivision and save storage space,but also retain the detailed features of the surface.It is suitable for the network transmission of the curved surface model.