Abstract: In the computer aided design，curves fitting problems with an area constraint are often dealt with.But in practice，except a few cases with simple calculation，the area is obtained by using polynomials interpolation.Using the methods of numerical integration，a quasi-preserved area fitting by n degree parametric curves is given.The method can fitting 2n points，and is fairness over small interval.The finally numerical experiment shows it’s effective.

摘要： 在计算机辅助设计中，要经常处理带有面积约束的参数曲线的拟合问题。但是在实际应用中，对于面积的计算除了少数简单的情况外，一般都采用传统的多项式函数插值方法实现数值解。利用数值积分这一方法，给出了一种近似保积形式的n次参数曲线拟合方法，该方法可以插值拟合于2n个点，并且在小的闭区间上具有局部光顺性质；最后的数值实验表明这种方法行之有效，具有误差小等优点。