圆柱度误差可视化的理论研究

研究了生成圆柱度误差图形所需的基础理论,建立了圆柱度误差可视化的数学模型.利用计算机图形学理论及三维线框模型,实现被测圆柱面的提取组成要素、拟合组成要素和拟合导出要素的显示;采用轴测投影变换,完成基本几何形体的实现;采用真实空间隐藏算法,解决了几何要素的图形消隐问题.根据国家标准中有关圆柱度误差的定义,建立了圆柱度误差图形显示的数学模型.根据以上的理论研究,在LabWindows/CVI软件平台上,开发了相应的软件,实现圆柱度误差的可视化.

Theoretical Study on Visualization of Cylindricity Error

The basic theory of producing cylindricity error graph was studied, and a mathematical model for visualization of cylindricity error was established. The theory of computer graphics and three-dimensional wireframe models were used to realize the display of extracted integral feature, associated integral feature and associated derived feature of the measured cylinders. Axonometric projection transformation was adopted to fulfill the realization of basic geometric shapes. The space hidden method was used to solve the problem of geometrical graph hidden. According to the standard definition of cylindricity error, the mathematical model for cylindricity error graphic display was established. On the basis of theoretical study, software was developed to realize visualization of cylindricity error on the platform of LabWindows/CVI.