基于改进遗传算法的曲面拟合参数辨识
Parameter Identification of Surface Fitting Based on Improved Genetic Algorithm
空间曲面拟合是一个难以解决的复杂强非线性问题。已有的曲面拟合方法在求解明确的曲面表达式方面尚显难有作为。从参数辨识的角度来看,曲面拟合需要求解出坐标平移、旋转以及标准曲面方程参数。利用遗传算法在该领域的优势,并且针对经典简单遗传算法的缺陷进行了一系列改进。用MATLAB语言实现了改进算法的程序包。在钢结构马鞍面工业部件以及雷达天线椭圆抛物面表面检测两个工程实例中分别采用文章中的改进遗传算法和简单遗传算法进行了多次运算,并且对结果进行了比较。应用和比较结果表明,遗传算法能够较好地应用于空间曲面拟合,并且本文的改进算法更具优势。
Spatial surface fitting is a complex highly nonlinear problem which is hard to solve. Existing surface fitting methods can barely figure out explicit curved surface expression. Viewing from the aspect of parameter identification, the parameters of coordinate translation, rotation and the standard curved surface equation are to be estimated. Genetic algorithm has particular advantages in this field. A series of modifications are made aiming at several defects of the classic simple genetic algorithm, and the improved algorithm is realized using MATLAB language. Both algorithms are used many times in double engineering examples, and the calculation results are compared. Applications and compares show that genetic algorithm can be well used in the field of spatial surface fitting, and the improved algorithm is better.
潘国荣、谷川、陈兴权
工程基础科学计算技术、计算机技术
曲面拟合,参数辨识,遗传算法,改进,坐标转换,马鞍面(双曲抛物面),椭圆抛物面
Surface fitting parameter identification genetic algorithm improvement coordinate transformation hyperbolic paraboloid elliptic paraboloid
潘国荣,谷川,陈兴权.基于改进遗传算法的曲面拟合参数辨识[EB/OL].(2008-07-14)[2025-08-04].http://www.paper.edu.cn/releasepaper/content/200807-268.点此复制
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