使用多段Bezier曲线模型的地质等值线光滑算法  

A Smoothed Contours Generating Algorithm for the Multi-Segment Bezier Curve

作　　者：韩丽娜[1] 耿国华[2] 

机构地区：[1]咸阳师范学院信息工程学院,陕西咸阳712000 [2]西北大学可视化技术研究所,陕西西安710127

出　　处：《计算机工程与科学》2010年第11期63-65,共3页Computer Engineering & Science

基　　金：咸阳师范学院项目(06XSYK263;07XSYK283);国家自然科学基金资助项目(60873094;60902075)

摘　　要：在等值线自动生成过程中,如果仅仅将追踪到的等值点依次用线连接起来,那么将会生成一幅折线式的等值线图。文章提出使用多段三次Bezier曲线拟合模型对得到的等值线进行拟合,首先利用三次Bezier曲线的拟合公式和最小二乘法得到首段Bezier曲线的四个控制点,然后依据Bezier曲线拼接的光滑条件和首段Bezier曲线的控制点,再次使用最小二乘法得到次段Bezier曲线的四个控制点,依此类推,从而得到由多段Bezier曲线组成的光滑的等值线图。除此之外,本文给出构建网格较小情况下的多段Bezier曲线拟合模型特例。实验结果证实,本文提出的方法易理解,可行性好,光滑效果显著。In the process of generating contours automatically, it generates a polyline type of contour map if we connect the tracked point with the line. This paper proposes using the multi-segment Bezier curve model to fit the contours. At first we use three Bezier curves fitting formula and least-squares to get the four control points of the first segment of the Bezier curve. Then based on the smooth conditions of the Bezier curve and the acquired control points, we get the four sub-segment control points with least-squares. According to above ideas, we get the smooth contours. In addition, this paper proposes building the special case of the multi-segment Bezier curve model in the condition of a smaller grid. Experiments show the proposed method is easy and feasible, and it has good visual effect.

关 键 词：等值线 BEZIER曲线 最小二乘法 拟合 光滑 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]