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This paper presents curve approximation problem using Particle Swarm Optimization (PSO). The proposed algorithm will be used to develop a skinning surface with PSO to keep the number of surface control points minimum. The experiments are conducted on various parameterization methods for approximating the curves. By implementing PSO on NURBS curve approximation, the weights of the curve can be adjusted accordingly. From the results, it can be concluded that the proposed method is promising in approximating NURBS curves using PSO.