1. A Computer Technique for Displaying n-Dimensional Hyperobjects.
- Author
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Stuart^Lynn, M. and Noll, A. Michael
- Subjects
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HYPERSURFACES , *THREE-dimensional display systems , *SET theory , *3-D films , *INFORMATION display systems - Abstract
The article discusses a computer technique for displaying two types of n-dimensional hyperobjects and for n-dimensional rotation. Any n-dimensional hyperobject could then be manipulated mathematically by a digital computer. The final three-dimensional projection of the rotating hyperobject could be drawn automatically on a computer-controlled visual display device as a stereoscopic movie. The most common form of projection in three-dimensional space is the perspective projection of an object as seen by each of the two eyes. A hyperobject in n-dimensional space can be represented as straight-line segments connecting an ordered set of points. The stereoscopic pair of two-dimensional perspective projections of the three-dimensional projection of the hyperobject are calculated by the computer and automatically plotted un a single frame of film. The movies have already been useful in extending knowledge of three-dimensional perspective projections to higher dimensions. The techniques have been applied to real-time graphical displays so that the user can rotate, translate, and manipulate hyperobjects and hyperdata and immediately see the results on a graphical display.
- Published
- 1967