@conference {13312, title = {Multi-scale dual morse complexes for representing terrain morphology}, booktitle = {Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems}, series = {GIS {\textquoteright}07}, year = {2007}, month = {2007///}, pages = {29:1{\textendash}29:8 - 29:1{\textendash}29:8}, publisher = {ACM}, organization = {ACM}, address = {New York, NY, USA}, abstract = {We propose a new multi-scale terrain model, based on a hierarchical representation for the morphology of a terrain. The basis of our morphological model is a dual Morse decomposition of the terrain, composed by the stable and unstable manifolds defined by its critical points and its integral lines. We propose a two-level representation of the dual Morse decomposition and we define new simplification operators for the Morse decomposition which act on such representation. Based on these operators, we define a hierarchical morphology-based representation, that we call a Multi-scale Morse Complex (MMC). Results from our implementation of the MMC are presented.}, keywords = {Morphology, multi-scale representations, terrain modeling}, isbn = {978-1-59593-914-2}, doi = {10.1145/1341012.1341050}, url = {http://doi.acm.org/10.1145/1341012.1341050}, author = {Danovaro,Emanuele and De Floriani, Leila and Vitali,Maria and Magillo,Paola} }