Find in Library

Internal energy minimization has been used to select the two free parameters of the planar cubic Hermite curve. In this paper, we consider to combine the three well known internal energies and select the two free parameters of the planar cubic Hermite curve by minimizing the combined internal energy. The proposed minimization is a generalization of the single internal energy minimizations. Some numerical examples show that the proposed method can synchronously make the three internal energies of the curve as small as possible.