这里介绍一种多项式趋势面分析的新方法——正交多项式趋势面分析。它采用正交函数拟合这样一种数学方法,即把一系列正交多项式(或正交多项式之积)的线性组合所构成的广义多项式作为数学模型,对空间变量进行拟合。在计算过程中,利用函数的正交性质,从而把正规方程组简化成为m个一元方程组,避开了解一个高阶线性代数方程组的计算过程,从而可以克服目前所采用的一般多项式趋势面分析方法的许多重要缺陷。 Here is a new method of polynomial trend surface analysis - orthogonal polynomial trend surface analysis. It employs an orthogonal function to fit a mathematical method in which the generalized polynomials formed by the linear combination of a series of orthogonal polynomials (or products of orthogonal polynomials) are used as mathematical models to fit spatial variables. In the process of calculation, by using the orthogonality of the function, the normal equations can be simplified into m unary equations, avoiding the calculation process of a high-order linear algebraic equations, which can overcome the current general polynomial trend surface Analyze many of the major drawbacks of the method.