Mathematical Model on the Visualization of coaxiality Error

Lijie Chen
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Abstract

The fundamental theory of generating coaxiality error graph is studied. A mathematical model for visualization of coaxiality error is established in accordance with the definition of coaxiality error in national standard. The theory of three-dimensional wireframe models on computer graphics is applied to realize the display of extracted derived feature and associated derived feature on the measured multi-diameter axle. Axonometric projection transformation is used to attain the realization of basic geometric shapes. The spacial hidden method is adopted to solve the problem of geometrical graph hidden. According to the above theoretical research, the corresponding software is developed on the LabWindows/CVI software platform to realize the visualization of coaxiality error.
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同轴度误差可视化的数学模型
研究了同轴度误差图生成的基本理论。根据国家标准对同轴度误差的定义,建立了同轴度误差可视化的数学模型。应用计算机图形学中的三维线框模型理论,实现了提取的衍生特征和关联衍生特征在被测多径轴上的显示。利用轴测投影变换实现基本几何形状。采用空间隐藏方法解决几何图形的隐藏问题。根据上述理论研究,在LabWindows/CVI软件平台上开发了相应的软件,实现了同轴度误差的可视化。
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