中文说明： 用平面波展开法计算二维声子晶体带隙,用MATLAB编写的遗传算法路径规划，完整的图像处理课设，包含所有源代码，汽车图像，应用小区域方差对比，程序简单，多元数据分析的主分量分析投影，使用拉亚普诺夫指数的公式。
English Description：
Using the plane wave expansion method calculation of two-dimensional phononic crystal band gap, the use of Matlab genetic algorithm for path planning, complete image processing courses, contains all the source code, image, the application of small regional variance contrast, the program is simple and multivariate data analysis principal component analysis of projection, the use La Jaap Andrianof index formula.