Perspective and stereo for projection from and display of four dimensions

William P. Armstrong; Robert P. Burton

doi:10.1117/12.19889

1 September 1990 Perspective and stereo for projection from and display of four dimensions

William P. Armstrong, Robert P. Burton

Proceedings Volume 1256, Stereoscopic Displays and Applications; (1990) https://doi.org/10.1117/12.19889
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

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.

Citation Download Citation

William P. Armstrong and Robert P. Burton "Perspective and stereo for projection from and display of four dimensions", Proc. SPIE 1256, Stereoscopic Displays and Applications, (1 September 1990); https://doi.org/10.1117/12.19889

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available