摘 要:针对计算机线图解释中直线间几何关系可能存在不准确,从而出现视觉#br# 表达问题的不足,研究了基于直线平行垂直关系美化三维线框模型方法。首先,计算正视投#br# 影空间中三维线框模型中棱线方向矢量并选择基准棱线;然后,采用直线间平行垂直约束对#br# 线框模型中出现几何错误的直线进行校正,重新选择已校正棱线为基准棱线重复上述操作;#br# 最后根据新的棱线参数确定三维线框模型顶点新坐标。通过算例结果表明,该方法能够有效#br# 地解决线框模型中出现的平行垂直几何问题,达到线框模型视觉上的美化。#br# 关 键 词:线图解释;线框图模型;几何结构;美化
Abstract: In order to solve the problem that errors may exist in the geometrical interpretation#br# of the relationship between the lines and thus result in the inadequacy in visual expression, a#br# method is developed on parallel and vertical linear relationship for beautifying the wireframe#br# model of three-dimensional objects. Firstly, the ridge direction vector of the three-dimensional#br# wireframe models in the face projection space is calculated and a benchmark ridge is chosen; then#br# geometric errors appearing in wireframe model are corrected by the parallel and vertical constraint#br# of the linear relationship, the corrected ridge is reselected as the new benchmark and a repeatition#br# of the operation is conducted. Finally, the new coordinates of the vertices of the three-dimensional#br# wireframe models are calculated according to the new ridge parameter. The numerical example#br# shows that the proposed methods can effectively solve the parallel and vertical geometric#br# problems in the wireframe model to beautify the wireframe model.#br# Key words: line drawing interpretation; wireframe model; geometry structure; beautification
摘要: 针对计算机线图解释中直线间几何关系可能存在不准确,从而出现视觉
表达问题的不足,研究了基于直线平行垂直关系美化三维线框模型方法。首先,计算正视投
影空间中三维线框模型中棱线方向矢量并选择基准棱线;然后,采用直线间平行垂直约束对
线框模型中出现几何错误的直线进行校正,重新选择已校正棱线为基准棱线重复上述操作;
最后根据新的棱线参数确定三维线框模型顶点新坐标。通过算例结果表明,该方法能够有效
地解决线框模型中出现的平行垂直几何问题,达到线框模型视觉上的美化。