利用可控分形插值实现海岸线多分辨率可视化

摘要

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 uncon-trollable 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 reso-lution, 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 charac-teristics of coastline.%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.