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It is important to computing curve and surface fitting in many graphics and image processing applications. In this area the computation of control parameters about NURBS (non uniform rational B-spline) has a serious impact on the result of fitted shape. In order to optimize the weight and knot an evolutionary programming algorithm is presented to minimize the sum square error between the fitted and target curve and surface. The test case results show that the optimization algorithm attains a better performance when a good initial location of vector is selected.