Algorithm and Realization of Single and Double Arc Mixed Approximating Curve in MATLAB

This paper discusses the features of single and double arc approximating,and combines the merits of two kinds of fitting. By the algorithm of approximating curve in optimizing three-point arc and mixing single and double arc in permission tolerance,smooth link of whole approximating arc with inflexion points and extreme value points is attained in theory,and the minimal number of arc approximating segments is ensured. Joining optimization with scale and linear search,the nodes are solved by programming in MATLAB software,the algorithm is more simple and reliable,thus the program runs more rapidly and efficiently. This algorithm provides reference for processing complex curve in numerical control and CAD system.