A useful class of two-dimensional (2-D) random fields is described which can be generated by random tessellations of the plane. The random tessellations are in turn generated by marked point processes evolving according to a spatial parameter. Gray levels are assigned within elementary disjoint regions generated by the tessellations to have specified correlation properties with gray levels in contiguous regions. A complete second-order statistical description of the resulting class of random fields is provided. This includes not only autocorrelation functions and power spectral densities but joint probability density functions. Several applications are discussed including the modeling of real-world imagery possessing inherent edge structure.
ASJC Scopus subject areas
- Environmental Science(all)
- Earth and Planetary Sciences(all)