Properties of boundaries of an ND convex cone

Chia-Lun John Hu

doi:10.1117/12.453590

24 November 2002 Properties of boundaries of an ND convex cone

Chia-Lun John Hu

Proceedings Volume 4794, Vision Geometry XI; (2002) https://doi.org/10.1117/12.453590
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

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.

Citation Download Citation

Chia-Lun John Hu "Properties of boundaries of an ND convex cone", Proc. SPIE 4794, Vision Geometry XI, (24 November 2002); https://doi.org/10.1117/12.453590

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