Title

Modeling growth with random sets

RIS ID

108975

Publication Details

Cressie, N. (1991). Modeling growth with random sets. In A. Possolo (Eds.), Spatial Statistics and Imaging (pp. 31-45). California, United States: Institute of Mathematical Statistics.

Abstract

It is often the case that the future growth of an entity depends not only on its current size but on its shape as well. For example, discovery of a spheroidal tumor of volume V in a patient would likely be viewed differently by an oncologist than discovery of two adjacent spheroidal tumors each of volume V/2. Much of the literature on growth models ignores the shape aspect. Through stochastic geometric models, their simulation and their fitting to data, it is shown how growth processes can be modeled morphologically.

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Link to publisher version (DOI)

http://dx.doi.org/10.1214/lnms/1215460491