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

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.