Fitting a Woven Fabric Model onto a Surface Based on Energy Minimization

Surface flattening is applied in many applications, such as in the aircraft, shoe, and garment industries. In this paper, a surface flattening algorithm based on the energy-minimization on the 3D surface is presented, which calculates the optimal 2D pattern that folds to the 3D surface with minimum deformation. Both isotropic and woven-like anisotropic materials are supported by the algorithm. Darts insertion is also incorporated in the algorithm to further enhance the flattening result