Mesh parameterization for an open connected surface without partition

A novel mesh parametrization method for an open connected surface is presented. The parametrization method is based on Hessian-based locally linear embedding (HLLE). Our method operates directly on the surface without using any partition technique and can preserve the local and global structure, while partition-based methods often produce high distortion and discontinuity nearby partition boundaries. In addition, some examples about texture mapping show the efficiency of our method.