Caracterizacao, modelacao e simulacao de estruturas com base na morfologia matematica

This study consists on the application of mathematical morphology to study and to represent structures. The study means here the characterisation of the structures that constitute a digital image while the representation means their modelling and simulation. The morphological characterisation is divided in three parts: filtering, identification and measurement. In the morphological filtering phase is presented a way of filtering some information and simultaneously creating more regular objects, and also a procedure for extracting topographical features on an image according to its size. It is presented a methodology that establishes a link between the segmentation and the classification processes: in the first alternative the segmentation is conditioned by the classification (the spectral process guides the spatial one), while in the second one the classification is conditioned by the segmentation (the spatial process guides the spectral one). The developed methodology is tested and validated with a set of images of portuguese granites. In the measurement phase, the utility of the criteria of size, dispersion and connectivity is explicited to the characteristics of shape, orientation and neighbourhood of the structures, respectively. The modelling and the simulation of structures based on mathematical morphology, besides the current models based on random sets and random functions, receives an original contribution on some algorithms to construct images of some of those structures and also the way of modelling and simulating granite textures based on a spatial partition of the space and on a granulometric deconstruction procedureAvailable from Fundacao para a Ciencia e a Tecnologia, Servico de Informacao e Documentacao, Av. D. Carlos I, 126, 1200 Lisboa / FCT - Fundação para o Ciência e a TecnologiaSIGLEPTPortuga