利用可控分形插值实现海岸线多分辨率可视化  

A Multi-resolution Visualization Method for Coastline Using Controlled Fractal Interpolation

作　　者：江宝得 谢忠 吴亮[2] Jiang Baode;Xie Zhong;Wu Liang(National Engineering Research Center of Geographic Information System, China University of Geosciences, Wuhan 430074;School of Information Engineering, China University of Geosciences, Wuhan 430074)

机构地区：[1]中国地质大学(武汉)国家地理信息系统工程技术研究中心,武汉430074 [2]中国地质大学(武汉)信息工程学院,武汉430074

出　　处：《计算机辅助设计与图形学学报》2017年第11期2015-2022,共8页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(41671400);国家重点研发计划(2016YF0502304;2017YFB0503601)

摘　　要：为了实现海岸线弯曲特征保持的多分辨率可视化,提出一种基于可控分形插值的海岸线多分辨率可视化方法.首先对海岸线进行弯曲特征划分,将不可控的整体分形插值变换为以弯曲为单元的分段插值组合;然后利用一维随机中点移位法对各弯曲单元进行分形插值,并利用各弯曲单元的几何特征对分形插值函数的主要参量进行约束控制;最后建立分形次数与分辨率之间的函数关系,实现海岸线弯曲特征保持的多分辨率可视化.实验结果表明,该方法能够实现海岸线从低分辨率到高分辨率的多分辨率可视化重建,并能有效地保持海岸线的弯曲特征和随机分形特征.To implement multi-resolution visualization of coastline with its bending characteristics preserved,this paper proposes a multi-resolution visualization method for coastline based on the controlled fractal interpolation.First,the coastline is divided into several parts based on its bending characteristics,which can change the uncontrollable general fractal interpolation into a combination of several piecewise interpolation units.Second,the one dimensional random midpoint displacement method is taken to do fractal interpolation for each bending unit,and the main parameters of the fractal interpolation function are controlled by the geometrical characteristics of each bending unit.At last,by establishing a function relation between the number of fractal interpolation and the resolution,the multi-resolution visualization of coastline is implemented by this controlled fractal interpolation.The experiments show that this method can realize multi-resolution visualization reconstruction of coastline from low resolution to high resolution,and can effectively maintain the bending characteristics and random fractal characteristics of coastline.

关 键 词：海岸线 多分辨率可视化 分形插值 可控 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]