CAJ | 학술논문

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M?bius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。
침대우격위령적류형삼각망격모형，제출일충기우특정변계적조합보각구면삼수화방법。해방법채용평균치좌표계산출원시삼각망격모형각정점간상관적권수，연후용저개권수거수정구면역상적정점좌표득도신적구유보각성질적정점좌표，재이용M?bius변환파신생성적구면역질심전화위구심，사기면적적변형정도강저，최후득도일개정도경고적초시구면역。실험결과표명해방법시유효적，차구유변형소、효솔고적특점。
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 o -riginal triangular mesh model , and then uses the weights to amend the vertices on the spherical domain to get new vertex coordi -nates which are of conformal character , and then transforms the new generated spherical domain barycenter to the center of sphere by M?bius transformation , after that the areal distortion degree can be reduced , finally we can get a higher accuracy initial spheri-cal domain.Experimental results show that this method is stable and efficient with minor distortion .