中文摘要：

自然界中大型蜿蜒河流的平面形态是一种多尺度分形结构．笔者对蜿蜒河流平面形态进行了几何分形分析．计算了蜿蜒河流河道中心线的分形盒维数，并利用分形维数对大型河流的弯曲度和不规则程度进行了描述．另外，建立了对蜿蜒河流河弯形态进行识别、概化以及特征量统计分析的方法，并将其应用到黄河、长江等河流的几何形态统计分析中．河弯形态的统计结果能够为有关工程的建设、河流生态修复及理论分析等提供信息支持．

英文摘要：

The planar shape of large scale meandering rivers in nature is a kind of multi-scale fractal structure, for which, fractal analysis was carried out in this paper by calculating the fractal box dimension of the center line of meandering river channels. The curvature and irregularity of large scale rivers were described with fractal dimensions. Besides, a method was established for river meander identification, generalization and statistic, and then applied in the analysis of the geometric shape of the Yellow River and the Yangtze River, etc. Statistic results of river meanders provide valuable information for related engineering construction, river recovery and theoretical analysis.