Study on the Data Sampling with Arc Interpolation Algorithm Based on Parameter Equation

Great improvement in the data sampling with are interpolation algorithm has been achieved,however,most of them are complex with large amount of programming calculation and lack of formulary consistency.Problems are encountered when dealing with special circular interpolation.A new algorithm using step angle as the intermediate variable was presented in this paper based on the arc parameter equation.The interpolation simulations compared with the traditional algorithm were carried out under the LabVIEW environment.Integrating with the computer digital operation characteristic,an improved distance method using the distance between the next point and the end point as the distinguish basis was put forward to implement correct end point discrimination for special arcs.Experiments show that by using the above mentioned algorithm,full circle interpolation was obtained,and moreover,it was compact for programming and can be used for arbitrary arc interpolation without error accumulations.In this paper,the calculation errors can be reduced to 0.11%,and the interpolation speed increased by 33% of that made by using original algorithm.