复杂地貌形态多比例尺表达的二维小波分析研究  

A Study on the Multi-scale Representations of the Complex Landforms Based on Two-Dimensional Wavelet Transformation

作　　者：吴纪桃[1] 王桥[2] 

机构地区：[1]北京航空航天大学理学院应用数学系,北京100083 [2]南京师范大学地理科学学院,南京210097

出　　处：《遥感学报》2003年第2期93-97,共5页NATIONAL REMOTE SENSING BULLETIN

基　　金：国家自然科学基金项目 ( 60 173 0 0 1);武汉大学测绘与遥感国家重点实验室基金项目;南京师范大学特聘教授科研基金资助

摘　　要：针对复杂地貌形态的多比例尺表达中的等高线容易相交、地性特征描述困难和表达过程缺乏自适应等难题 ,提出了基于小波理论的复杂地貌形态的多比例尺表达模型 ,为上述问题的解决提供了新的思路和有效途径。The multi-scale representation model of complex landform based on two-dimensional wavelet transformation is proposed in this paper. The new idea and principle of this model can completely get rid of intersection of different contours which commonly occurred in almost all models used before. Thus, it could be said that by theory and method the model can preserve the veins of landform, maintain the coordinate relations among the contour lines, besides, it has adaptive property. The experiments on that model give the following conclusions:① The landform characteristics such as the peaks, saddle points, valley lines, intersections of valleys, ridge lines of mountains can be preserved very well, so the structure and roughness of the global landform will be retained.② The relative positions of the contour lines are maintained precisely, so the shape of the landform such as the outines of mountains, the directions of ridges and valleys are retained quite well.③ The rates of changes of the amount of information, the simplification of the contour lines, the extent of landform generalization for different levels of decomposition or reconstruction are consistent and stable,besides,they coincide with the visual feeling and standard of the ordinary people.④ The Lipschitz index, which is related to the roughness of the landform, is used to calculate the threshold value in the model, thus the threshold which control the amount of information being retained is directly linked with the complexity of the landform and could be adjusted adaptively.⑤ Because of the flexibility of the threshold value and the stability of the method, the multi-scale representation based on that two dimensional wavelet model is suitable for more kinds of landforms.

关 键 词：复杂地貌 多比例尺表达 小波分析 Lipschitz指数 

分 类 号：TP79[自动化与计算机技术—检测技术与自动化装置]