Topology of grid continua

Fridrich Sloboda; Bedrich Zatko; Reinhard Klette

doi:10.1117/12.323274

2 October 1998 Topology of grid continua

Fridrich Sloboda, Bedrich Zatko, Reinhard Klette

Proceedings Volume 3454, Vision Geometry VII; (1998) https://doi.org/10.1117/12.323274
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

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.

Citation Download Citation

Fridrich Sloboda, Bedrich Zatko, and Reinhard Klette "Topology of grid continua", Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); https://doi.org/10.1117/12.323274

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