In this paper we introduce recent mathematical tools for shape description called size functions. Some features of these descriptors such as robustness with respect to noise are pointed out. A first attempt to join the theory of size functions with randomness and to develop the related statistical analysis is then presented. The resulting procedure is applied to a couple of working examples, one referred to microlithography of electronic devices, and the second related to the diagnosis of tumors in pathology.
The theory of size functions applied to problems of statistical shape analysis / A. Micheletti - In: Proceedings of the International Conference in Stereology, Spatial Statistics and Stochastic Geometry / [a cura di] R. Lechnerova, I. Saxl, V. Benes. - Prague : Union of Czech Mathematicians and Physicists, 2006. - ISBN 80-7015-037-8. - pp. 177-183 (( Intervento presentato al 6. convegno S4G - International Conference in Stereology, Spatial Statistics and Stochastic Geometry tenutosi a Prague nel 2006.
The theory of size functions applied to problems of statistical shape analysis
A. MichelettiPrimo
2006
Abstract
In this paper we introduce recent mathematical tools for shape description called size functions. Some features of these descriptors such as robustness with respect to noise are pointed out. A first attempt to join the theory of size functions with randomness and to develop the related statistical analysis is then presented. The resulting procedure is applied to a couple of working examples, one referred to microlithography of electronic devices, and the second related to the diagnosis of tumors in pathology.
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