@conference {13301, title = {Modeling and generalization of discrete Morse terrain decompositions}, booktitle = {Proc. 20th Int. Conf. on Pattern Recognition, ICPR}, volume = {10}, year = {2010}, month = {2010///}, pages = {999 - 1002}, abstract = {We address the problem of morphological analysis ofreal terrains. We describe a morphological model for a terrain by considering extensions of Morse theory to the discrete case. We propose a two-level model of the morphology of a terrain based on a graph joining the critical points of the terrain through integral lines. We present a new set of generalization operators specific for discrete piece-wise linear terrain models, which are used to reduce noise and the size of the morphological representation. We show results of our approach on real terrains. }, author = {De Floriani, Leila and Magillo,P. and Vitali,M.} }