| 引用本文: | 张国忠,沈林成,常文森.基于等方性系数的地形可导航性的方向性研究.[J].国防科技大学学报,2000,22(4):102-106.[点击复制] |
| ZHANG Guozhong,SHEN Lincheng,CHANG Wensen.Isotropy-coefficient Based Directional Study of Terrain Navigability[J].Journal of National University of Defense Technology,2000,22(4):102-106[点击复制] |
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| 基于等方性系数的地形可导航性的方向性研究 |
| 张国忠, 沈林成, 常文森 |
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(国防科技大学 机电工程与自动化学院, 湖南 长沙 410073)
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| 摘要: |
| 地形可导航性分析的研究中, 当飞行器从不同方向进入特定区域时, 怎样评价该区域提供的可导航性能力一直是地形匹配中的重要问题。本文建立了地形本质特征的数学过程描述——分数布朗运动; 基于分形几何理论, 通过分析地形表面的轮廓谱矩和表面谱矩的特性, 提出一种地形特征度量值-——等方性系数; 并且分别得出了等方性好与差时, 适配区域的匹配概率与方向之间的定性关系, 有助于提高地形可导航性分析的效率。 |
| 关键词: 地形形貌 分数布朗运动 分形几何 等方性系数 匹配概率 |
| DOI： |
| 投稿日期：2000-01-18 |
| 基金项目: |
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| Isotropy-coefficient Based Directional Study of Terrain Navigability |
| ZHANG Guozhong, SHEN Lincheng, CHANG Wensen |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| In the research of terrain navigability, how to evaluate some terrain’s navigability is an important problem at all times when aircraft fly into the terrain in different directions. This paper sets up a mathematical narration (FBM) according to the terrain’s nature features. Through the analysis of the profile spectral moments and the surface spectral moments, a new measurement value of terrain feature—isotropy- coefficient is presented, which is based on the application of fractal geometry theory. This paper also derives the qualitative relation between matching probability of congruent terrain and different directions, which helps to improve the efficiency of navigability analysis. |
| Keywords: terrain topography Fractional Brownian Motion(FBM) fractal geometry isotropy-coefficient matching probability |
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