An Energy-Minimizing Mesh Parameterization

In this paper, we propose a new energy-minimizing mesh parameterization method, which linearly combines two new energies E_Q and E_M. It not only avoids triangles overlap in the parameter domain, but also is invariant under rotation, translation and scale transformations. We first parameterize the original 3D mesh to the parameter plane by using the energy-minimizing parameterization, and get the optimal effect by optimizing the weights w_ij gradually. Experimental results indicate that this optimized energy-minimizing method has low distortion and good stability.