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Proceedings Paper

Properties of boundaries of an ND convex cone
Author(s): Chia-Lun John Hu
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Paper Abstract

This paper summarizes the principle and the main steps in the design of the a Visual-Basic program to compute the convexity and to identify the boundary vectors of a set of ten 5D real vectors generated by a random numerical process. Then, as found EXPERIMENTALLY using this program, it reports in detail many interesting, novel, 5D-geometrical properties. These include such properties as the ring-structures of the boundary vectors, topological symmetries of the boundaries, different ways of joining the boundary planes (4D hyper-planes) in the 5-space, topological order of the extreme edges and that of the boundary planes located around the cone, etc.

Paper Details

Date Published: 24 November 2002
PDF: 9 pages
Proc. SPIE 4794, Vision Geometry XI, (24 November 2002); doi: 10.1117/12.453590
Show Author Affiliations
Chia-Lun John Hu, Southern Illinois Univ./Carbondale (United States)

Published in SPIE Proceedings Vol. 4794:
Vision Geometry XI
Longin Jan Latecki; David M. Mount; Angela Y. Wu, Editor(s)

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