【摘要】 文章论述了分形、分数维的基本概念,以及分数布朗运动的数学模型。结合实际又推导了地形分数维和方差值的求解方法。提出了航线规划选取流程,着重研究了用分数维地形分析方法进行超低空无人机航线规划的算法流程,对两幅地形图进行了实验分析。分数维数表征了局部地形粗糙的程度;方差值表征了地形起伏的程度;信息熵表征了在某一具体方向上的地形变化情况。更多还原

【Abstract】 The conceptions of fractal,fractal dimension and the mathematical model of fractional Brownian motion are discussed in this paper. The paper also deduces the methods of getting the values of fractal dimension D and variance ,and Then it puts forward the flow of trajectory planning, mainly studying the arithmetic flow of the exceeding low altitude trajectory planning for unmanned air vehicles with fractal dimension terrain analysis.At last,two relief maps are analyzed by experimentations. Fractal dimension D tokens the degree of roughness of part terrain,;Variance shows the degree of terrain gurgitation,;Information entropy indicates the terrain variety in a certain direction.更多还原