Curve Fitting Approach of Saddle-Shaped Curve for Automated Welding/Cutting
Curve fitting, or interpolation algorithm is core technology for Computer Numerical Control (CNC) systems. A saddle-shaped curve is formed by intersection of two tubes. The trajectory interpolation of saddle-shaped curve is usually carried out through approximating the curve as segments of straight line for automated CNC welding/cutting. This paper proposes a new saddle curve curve fitting algorithm for automated welding/cutting system with non-Cartesian coordinate system. Simulation of the direct curve fitting algorithm has demonstrated that the algorithm has high curve interpolation precision and high feedrate stability.
X. C. Tian and X. H. Deng, "Curve Fitting Approach of Saddle-Shaped Curve for Automated Welding/Cutting", Advanced Materials Research, Vols. 211-212, pp. 935-938, 2011