Interactive manipulation and display of surfaces in four dimensions
Interactive manipulation and display of surfaces in four dimensions
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四个维度表面的交互式操作和显示
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
D. Banks
中科院分区：
文献类型：
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作者：
D. Banks
4空间中的曲面在投影到3空间时通常会产生自交。当曲面在4空间中刚性旋转时，投影曲面的几何图形会发生变化。本文介绍了与这样的曲面交互，恢复投影破坏的几何和深度信息，计算投影到3-空间时的交点和表面，以及计算投影到屏幕时的轮廓和表面的技术。这些技术是名为Fourphront的交互系统的一部分，该系统使用Pixel-Plane 5作为图形引擎。
Surfaces in 4-space generally produce self-intersections when projected to 3-space. The geometry of the projected surface changes as the surface rotates rigidly in 4-space. This paper presents techniques for interacting with such a surface, for recovering the geometry and depth information that the projection destroys, for computing the intersections and the surface when projected to 3-space, and for computing the silhouettes and the surface when projected to the screen. These techniques are part of an interactive system called Fourphront, which uses Pixel-Planes 5 as the graphics engine.