基于Newton插值法的X线百分深度剂量和深度关系研究

Application of Newton Interpolation on the Relationship Between X-ray Percentage Depth Dose and Depth

目的:应用Newton插值法拟合百分深度剂量PDD和深度的函数关系。方法:分析不同厂家直线加速器测量的PDD数据,计算同一深度PDD的平均值,分割区间,选取插值节点,拟合PDD和深度(h)的3次多项式。结果:Newton插值法拟合公式所得计算的值和测量值百分误差的平均值小于1%。结论:公式计算值可以用于临床常规放射治疗和理论研究工作。

Objective To fit the functional relation between Percentage Depth Dose and depth by Newton Interpolation. Methods After analyzing the data of Percentage Depth Dose from different manufacturers linear accelerators, the average of Percentage Depth Dose with same depth was calculated, and then the average data was determined. The interval was set and the interpolation node was selected for simulating the cubic polynomial with PDD and depth. Results Comparing the calculated values by the function with the measured ones, the error was less than 1%. Conclusion The function simulated with Newton Interpolation is applicable in routine clinical radiotherapy and research.