Construction and Properties of a Useful Two-Dimensional Random Field

James W. Modestino, Robert W. Fries

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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 languageEnglish (US)
Pages (from-to)44-50
Number of pages7
JournalIEEE Transactions on Information Theory
Issue number1
StatePublished - Jan 1980
Externally publishedYes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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