摘要随着全球一体化趋势的日益增强，水运这种交通运输方式在跨国贸易中显得尤为重要，而如何确保水运的安全，就必须对水下的地形有所了解，以免发生意外，因此，水下地形插值方法就是必不可少的，本文通过对反距离权重，克里金，样条，自然领域法以及分形布朗运动等插值方法的原理和特点进行了一定的比较以及分析，并对其应用于水下地形插值的性能进行比较研究，采用Arcgis软件对2013年海图水深点数据进行数据处理，得出每种方法下的成果图，通过对成果图的对比研究以及精度的计算，进而得出几种插值方法的优缺点以及适合于水下地形的插值方法。对水下地形的的研究有助于对水下地形深入的了解，可以知道海底哪些地方有峡谷，海沟以及影响船只通行的不良因素，避免船只搁浅，从而促进国家之间的经济贸易，增加国家经济收益，推进世界经济一体化的趋势。76922

毕业论文关键词：水下地形，反距离权重插值，克里金差值，样条插值法，自然领域法，分形布朗运动插值法

Abstart With the trend of global integration of the growing mode of transport, transportation that is particularly important in cross-border trade, and how to ensure the safety of water transportation, we must understand the underwater terrain, so as to avoid accidents。 Therefore, the interpolation method of underwater terrain is indispensable, based on the inverse distance weight, Krikin, spline, principle and characteristics of natural field method and fractal Brown motion interpolation method to make some comparison and analysis, and makes a comparative study of the application in the performance of the underwater terrain interpolation of charted depth data in 2013, the data were processed by Arcgis software, the results of each method under the map, through the result map of comparative study and calculation accuracy, then obtains the advantages and disadvantages of several interpolation method and interpolation method suitable for underwater terrain。 Of underwater terrain of help on an understanding of underwater terrain in depth, you can know where the submarine canyon, trench and affecting the passing of boats of adverse factors, avoid the vessel ran aground, so as to promote the economic trade between countries, increase the economic income of a country, to push forward the trend of economic integration in the world。

  Keywords: underwater topography, inverse distance weighted interpolation, Kriging interpolation, spline interpolation method, natural field method, fractal Brownian motion interpolation method。

目录

摘要 II

Abstart III

目录 III

第一章 绪论 1

1。1 研究背景及意义 1

1。2 各插值方法的研究现状 1

1。3 研究内容与技术路线 2

第二章  研究区概况 4

第三章  四种插值方法的原理及特点 6

2。1  克里金插值法的原理及特点 6

2。2  反距离权重插值法的原理及特点 6

2。3  自然领域法的原理及特点 7

2。4  样条插值法的原理及特点 8

第四章  四种插值方法的比较 9

第五章 结果与分析