In this paper the approach to pattern thery developed by Ulf Grenander is used to construct models of randomly deformable templates. A probability measure on the deformations is constructed through an effort function, which induces a statistical model on the observed objects. The invariance of such model with respect to similarities is discussed. Two examples are given in order to clarify the relevance of the theme and the technical difficulties.
Deformable templates: a statistical setting
BONETTI, MARCO;
1992
Abstract
In this paper the approach to pattern thery developed by Ulf Grenander is used to construct models of randomly deformable templates. A probability measure on the deformations is constructed through an effort function, which induces a statistical model on the observed objects. The invariance of such model with respect to similarities is discussed. Two examples are given in order to clarify the relevance of the theme and the technical difficulties.
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