Construction and Properties of a Useful Two-Dimensional Random Field

James W. Modestino; Robert W. Fries

doi:10.1109/TIT.1980.1056138

Construction and Properties of a Useful Two-Dimensional Random Field

James W. Modestino, Robert W. Fries

Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

A two-dimensional homogeneous and isotropic random field is described which is generated by a polygonal partition process on the plane. In particular, the plane is divided into elementary disjoint polygonal regions by a Poisson line process. Gray levels within these elementary polygonal regions are assigned to have specified correlation with gray levels in contiguous regions. Explicit evaluation of the resulting autocorrelation function and power spectral density is provided. The results may be useful in a wide variety of image processing applications.

Original language	English (US)
Pages (from-to)	44-50
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	26
Issue number	1
DOIs	https://doi.org/10.1109/TIT.1980.1056138
State	Published - Jan 1980

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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