Modeling and generalization of discrete Morse terrain decompositions


We address the problem of morphological analysis of real 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.

Pattern Recognition (ICPR), 2010 20th International Conference on