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Proceedings Paper

Topology of grid continua
Author(s): Fridrich Sloboda; Bedrich Zatko; Reinhard Klette
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Paper Abstract

1D and 2D continua belong to the basic notions of set- theoretical topology and represent a subfield of the theory of dimensions developed by P. Urysohn and K. Menger. In this paper basic definitions and properties of grid continua in R2 and R3 are summarized. Particularly, simple 1D gird continua in R2 and in R3, and simple closed 2D grid continua in R3 are emphasized. Concepts for measuring the length of 1D grid continua and the surface area of a 2D grid continuum are introduced and discussed.

Paper Details

Date Published: 2 October 1998
PDF: 12 pages
Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); doi: 10.1117/12.323274
Show Author Affiliations
Fridrich Sloboda, Institute of Control Theory and Robotics (Slovak Republic)
Bedrich Zatko, Institute of Control Theory and Robotics (Slovak Republic)
Reinhard Klette, Univ. of Auckland (New Zealand)

Published in SPIE Proceedings Vol. 3454:
Vision Geometry VII
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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