基于特定边界的组合保角球面参数化

针对亏格为零的流形三角网格模型，提出一种基于特定边界的组合保角球面参数化方法。该方法采用平均值坐标计算出原始三角网格模型各顶点间相关的权数，然后用这个权数去修正球面域上的顶点坐标得到新的具有保角性质的顶点坐标，再利用Möbius变换把新生成的球面域质心转化为球心，使其面积的变形程度降低，最后得到一个精度更高的初始球面域。实验结果表明该方法是有效的，且具有变形小、效率高的特点。

Combination Conformal Spherical Parameterization Method Based on Specific Boundary

This paper proposes a combination conformal spherical parameterization method based on the specific boundaries for 0-genus manifold triangular mesh model. The method uses mean value coordinates to calculate each vertex related weight on the original triangular mesh model, and then uses the weights to amend the vertices on the spherical domain to get new vertex coordinates which are of conformal character, and then transforms the new generated spherical domain barycenter to the center of sphere by Möbius transformation, after that the areal distortion degree can be reduced, finally we can get a higher accuracy initial spherical domain. Experimental results show that this method is stable and efficient with minor distortion.