利用散乱采样点绘制光滑等值线的误差分析

等值线是平面标量场中表达信息的重要手段之一,在很多领域均有应用。等值线本身是光滑连续的曲线,而一般绘制方法产生的却是它的折线段近似。为了在等值线放大时也能保持光滑连续的曲线形状,绘制时需要用参数曲线平滑处理。本文讨论基于散乱采样点及参数曲线绘制光滑等值线时的误差问题。对包括建模、等值线抽取及平滑的整个绘制过程中产生的误差进行了分析,对几种常见参数曲线的绘制效果和误差进行了比较。

Error Analysis for Smoothing Methods of Isolines Rendering Based on Planer scatter data

Methods of isolines are important in visualization of scalar fields as temperature, pressure and so on. Isolines are smoothing and continuous but many may be shown by many short lines joined. Then smoothing isolines are needed to show the right and accu- rate information of them. Based on the scattering data, mathematics modal is created and several spline curves are used with a com- parison. After that an error analysis on the function modeling and the spline curves rendering is made and there is a conclusion.