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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-13
April 2001

A deformable template model, with special reference to elliptical templates


Eva B. Vedel Jensen

Asger Hobolth, Jan Pedersen


This paper suggests a high-level continuous image model for planar starshaped objects. Under this model, a planar object is a stochastic deformation of a star-shaped template. The residual process, describing the difference between the radius-vector function of the template and the object, is allowed to be non-stationary. Stationarity is obtained by a time change. A parametric model for the residual process is suggested and straightforward parameter estimation techniques are developed. The deformable template model makes it possible to detect pathologies as demonstrated by an analysis of a data set of cell nuclei from a benign and a malignant tumour, using stochastic deformations of ellipses.

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This paper has now been published in Journal of Mathematical Imaging and Vision, 17, 131-137 (2002)