河道剖面轮廓的一元分形插值模拟

河道剖面轮廓形态与河床演变学及河流动力学的诸多问题密切相关，目前常采用规则的欧氏几何模型来描述，由于复杂剖面轮廓形态测量中存在尺度相关性和数据有限性的问题，难以全面准确体现其微观粗糙结构。但河道剖面轮廓形态具有自相似性，可用分形理论来描述。基于有限的数据资料，应用一元分形插值理论对河道纵向剖面轮廓形态进行了分形插值模拟，准确再现了其精细结构，较好地解决了上述尺度相关性和数据有限性问题，为从微观角度开展河床变形、水流阻力等问题的分形研究提供了新途径。

Unary fractal interpolation simulation of channel profiles

Channel profiles are closely related to study project of river dynamics and fluvial processes,and often described with the Euclidean geometry model at present.However,considering the scale correlation and information limitation in the measuring of complex channel profiles,it is hardly to reflect the actual micro rough-structures comprehensively and objectively by using the Euclidean geometry.Channel profiles are self-similar and can be described with fractal theory.On the basis of limited measured data,the channel longitudinal profiles are simulated accurately by using the unary fractal interpolation method,which not only well resolved the problems of scale correlation and information limitation existing in the regular Euclidean geometry model,but also provided a microscopic way to carrying out the fractal researches on relevant issues such as river-bed deformation and flow resistance.