A free‐form surface flattening algorithm that minimizes geometric deformation energy

Based on the analysis of advantages and disadvantages existing surface flattening algorithms, this paper proposes a free-form algorithm that minimizes geometric deformation by combining method mechanical energy to address problems many iterations, large changes in convergence, weak visualization deformation. The point cloud is meshed using triangular slice search method, 3D mesh wrapped around mapping relationships. initial correction ring flatten graphic are carried out according average error, global model established obtain energy-minimizing unfolding conditions optimize graph iterative optimization. verification shows general, has good robustness, high accuracy, visualizes suitable for some design occasions machining, such as calculation automobile outer cladding parts sheet metal parts. It especially ring-like parts, guide stamping process sheet-metal-like