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Proceedings Paper

Perspective and stereo for projection from and display of four dimensions
Author(s): William P. Armstrong; Robert P. Burton
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Paper Abstract

Using perspective and stereo, computers present 3-D objects on 2-D display surfaces so that we see the objects as 3 dimensicnal. Extrapolations of perspective and stereo permit display of 4 dimensions. Nine types of images are produced by extrapolating perspective and stereo to 4 dimensions, namely images with: 1. Perspective from w, 2. Perspective from w and stereo from z, 3. Perspective from w and z, 4. Horizontal perspective from w and vertical perspective from z, 5. Stereo and perspective from w, 6. Stereo from w and z, 7. Horizontal stereo from w and vertical stereo from z, 8. Horizontal stereo and perspective from w, and vertical stereo and perspective from z, 9. Horizontal stereo from w and vertical perspective from z. Types6, 7, and 8 produce as many as 4 images. As few as 2 may be sufficient to preserve dimensional information; These images encode information from 4 dimensions in discernible visual cues. Though potentially confusing because they conflict with our conventional interpretation ofdepth cues, they present 4-dimensional objects in an unambiguous way. These images can help us understand 4-dimensional objects.

Paper Details

Date Published: 1 September 1990
PDF: 8 pages
Proc. SPIE 1256, Stereoscopic Displays and Applications, (1 September 1990); doi: 10.1117/12.19889
Show Author Affiliations
William P. Armstrong, Evans & Sutherland Computer Corp. (United States)
Robert P. Burton, Brigham Young Univ. (United States)

Published in SPIE Proceedings Vol. 1256:
Stereoscopic Displays and Applications
John O. Merritt; Scott S. Fisher, Editor(s)

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