Study on Axsometric Scale in Perspective Projection (3)

Eiichi Ohta, K. Minami, Tadanori Kanamaru
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Abstract

When the picture plane is not perpendicular to the ground plane, there exist three vanishing points. In this case, we studied on a method to draw a perspective by using axsometric scale.For a straight line, lying on the ground plane and parallel to x or y axis, axsometric scale is intersecting points of total perspect of this straight line and a group of straight lines.They are total perspects of parallels lying on the ground plane. Inclination angles of parallels to both axes are 45° and their intervals are constant.For a straight line, parallel to z axis, axsometric scale is intersecting points of total perspect of this straight line and a group of straight lines. They are total perspects of parallels lying on a plane on which this straight line lies. Parallels are horizontal and their intervals are constant.
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透视投影中轴测比例尺的研究(3)
当图像平面不垂直于地平面时,存在三个消失点。在这种情况下,我们研究了一种使用轴测尺度绘制透视图的方法。对于一条位于地平面上并平行于x轴或y轴的直线,轴测比例尺是这条直线与一组直线的总透视交点。它们是在地平面上平行线的总透视。与两轴线平行的倾角为45°,其间隔为常数。对于一条平行于z轴的直线,轴向比例尺是这条直线与一组直线的总透视的交点。它们是这条直线所在平面上的平行线的总角度。平行线是水平的,它们的间隔是恒定的。
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