Tabulated Curve Fitting in Numerical Control Programming

Building on mathematical theories of calculation geometric and function approaching method, circular-arc spline fitting and biarc fitting are gived for tabulated curve, circular-arc spline fitting is invariant in geometry , it is simple and accurate than other kinds of spline curve in calculation. Biarc fitting adopts the whole system of coordinates,does not give up very useful derivative information , has improved the precision of fitting, overcomes difficulties of large deflection, high precision, huge programming, and avoids solving the nonlinear equation. Based on the fit programming for tabulated curve and the application of numerical control processing, circular-arc spline function fitting and biarc fitting are effective ways of solving the problem of tabulated curvefitting.