一种NURBS插补算法的优化

摘要

I put forward a new interpolation called Adams-Bashforth interpolation of NURBS curve in order to realize higher precision under the condition of satisfying the speed demand. IN this method, I calculated next parameter point by Adams-Bashforth equation and I used difference equation instead of derivation. I simplified and approximated the interpolation algorithm so that the speed and precision of interpolation could be ensured. Finally, we conducted simulations on this interpolation based on MATLAB and compared it with Taylor expansion algorithm so that we could prove its feasibility and correctness. We can conclude that it has a higher precision.%为在满足速度要求的前提下，实现更高精度的数控插补，提出了一种基于亚当斯-巴什福思的NURBS曲线插补方法。该方法通过亚当斯-巴什福思计算下一个参数点，并且用差分方程代替求导的方法，对算法进行了简化与近似，保证了插补速度与精度。并与泰勒展开法进行对比，证明它的高精度。经过MATLAB对插补轨迹的仿真，证明了该算法的可行性与有效性。