Author/Editor     Wilson, Richard J; Nott, David J
Title     Review of recent results on excursion set models
Type     članek
Source     Image Anal Stereol
Vol. and No.     Letnik 20, št. 2
Publication year     2001
Volume     str. 71-8
Language     eng
Abstract     Many images consist of two or more "phases", where a phase is a collection of homogeneous zones. For example, the phases may represent the presence of different sulphides in an ore sample. Frequently, these phases exhibit very little structure, though all connected components of a given phase may be similar in some sense. As a consequence, random set models are commonly used to model such images. The Boolean model and models derived from the Boolean model are often chosen. An alternative approach to modelling such images is to use the excursion sets of random fields to model each phase. In this paper, the properties of excursion sets will be firstly discussed in terms of modelling binary images. Ways of extending these models to multi-phase images will then be explored. A desirable feature of any model is to be able to fit it to data reasonably well. Different methods for fitting random set models based on excursion sets will be presented and some of the difficulties with these methods will be discussed.
Descriptors     IMAGE PROCESSING, COMPUTER-ASSISTED
MODELS, THEORETICAL
NORMAL DISTRIBUTION
LEAST-SQUARES ANALYSIS
LIKELIHOOD FUNCTIONS
RANDOM ALLOCATION
SULFIDES