To overcome the shortcomings of traditional distortion correction algorithms, an image distortion correction algorithm based on quadrilateral fractal approach controlling points is proposed.

This thesis studies modeling and the simple application of the fractal approximation of curves and surfaces.

A PSO algorithm for polygonal approximation of digital curves restricted by solution of reference;

Based on polygonal approximation,the recursion formula to calculate a stepping motor s winding current to achieve a constant torque over all positions is deduced,which is used in a real time calculating application,then the control design is given.

The contour tracing algorithm which can recognize those points on the left side and the right side of the contour is presented,and the polygonal approximation algorithm and the quadratic Bezier curve approximation algorithm are described,which utilize the direction of chain codes.

This paper puts forward a new method for calculating anomaly area—the polygonous approximation method,and gives corresponding algorithm and precision controlling technique.