Application of conformal mapping in effect evaluation of data fitting

Data fitting is an effective method for engineering data analysis.However,if the relative coefficients of different fitting equations are not distinguished,it is difficult to determine a well fitting equation.In order to seek for a evaluation method that can assess fitting effect of various equations,we use fitting function equation to construct analytic function by conformal mapping,then the equation curves are mapped into unit circle,and measured data are mapped into a complex coordinate system for analysis and evaluation.The results show that it is feasible to evaluate fitting effect by conformal mapping method that can magnify slight differences to increase data resolution.Compared with figures of measured data fitting,the mapped figures are more intuitive to improve effect evaluation of data fitting.