A theoretical extension of mathematical transformation, the size function, was described. The size functions are used for automatic recognition and are effective when no standard geometric templates are available. The computation of size functions is based on the steepest descent method. The size function of a bitmap image can be computed in a two-dimensional rectangular manifold. The results can be extended to the homology of arbitrary degree to obtain new invariants of the shape of the graph of the given map.
Cagliari F., Ferri M., Pozzi P. (2001). Size functions from a categorical viewpoint. ACTA APPLICANDAE MATHEMATICAE, 67(3), 225-235 [10.1023/A:1011923819754].
Size functions from a categorical viewpoint
Cagliari F.;Ferri M.;
2001
Abstract
A theoretical extension of mathematical transformation, the size function, was described. The size functions are used for automatic recognition and are effective when no standard geometric templates are available. The computation of size functions is based on the steepest descent method. The size function of a bitmap image can be computed in a two-dimensional rectangular manifold. The results can be extended to the homology of arbitrary degree to obtain new invariants of the shape of the graph of the given map.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
