Parameter Optimization for Bezier Curve Fitting Based on Genetic Algorithm

Fitting is one of the most important methods for free curve and surface modeling. This paper constructs the least squares fitting mathematical model for Bezier curve to fit the given data points on two-dimensional space. The genetic algorithm is applied to optimize the parameters of Bernstein basis function. The chromosomes are coded using real numbers. The fitness function is the reverse of the sum of the squared error. The simulation results show the feasibility and efficiency of the proposed method.