Abstract: 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.

Key words: triangular mesh model, conformal spherical parameterization, mean value coordinates, Möbius transformation, specific boundary