review of recent results on excursion set models

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ID: 239849
2011
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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.
Reference Key
wilson2011imagereview Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Richard J Wilson;David J Nott
Journal archives of toxicology
Year 2011
DOI
10.5566/ias.v20.p71-78
URL
http://www.ias-iss.org/ojs/IAS/article/view/660
Keywords
texture modellingmedicine (general)mathematics

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