A fast parametric modelling algorithm with the Powell method
A fast parametric modelling algorithm with the Powell method
复制标题
鲍威尔法快速参数化建模算法
DOI：
10.1088/0967-3334/16/3a/004
复制
发表时间：
1995
影响因子：
3.2
通讯作者：
A. Leathard
中科院分区：
文献类型：
--
作者：
L. Lu;B. Brown;D. Barber;A. Leathard
本文提出了一个模型，只包括两个参数（R/S，fr）和应用程序的三个函数最小化算法（单纯形，鲍威尔和修改鲍威尔），这个模型，以获得参数图像。在效率和可靠性方面的三种算法进行了比较。结果表明，通过考虑模型数据的形状，采用适当的初始化，极小化函数可以用极小点附近的二次函数逼近，从而使修正Powell法的迭代次数最小化。结果表明，在参数成像中，修正的Powell方法可以大大减少计算时间。这使得可以在1秒内获得16*16的参数图像。
This paper presents a model that comprises only two parameters (R/S, fr) and the application of three function minimization algorithms (simplex, Powell and modified Powell) to this model to obtain parametric images. Comparisons among the three algorithms in terms of efficiency and reliability were carried out. It was found that, with proper initialization by taking the shape of the modelled data into consideration, the minimization function can be approximated by a quadratic function near the minimum point, therefore the iteration times can be minimized in the modified Powell method. The results show that with the modified Powell method a substantial reduction of computation time can be achieved in the parametric imaging. This makes it possible to obtain a 16*16 parametric image in 1 s.