%0 Conference Paper %B Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems %D 2007 %T Multi-scale dual morse complexes for representing terrain morphology %A Danovaro,Emanuele %A De Floriani, Leila %A Vitali,Maria %A Magillo,Paola %K Morphology %K multi-scale representations %K terrain modeling %X 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. %B Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems %S GIS '07 %I ACM %C New York, NY, USA %P 29:1–29:8 - 29:1–29:8 %8 2007/// %@ 978-1-59593-914-2 %G eng %U http://doi.acm.org/10.1145/1341012.1341050 %R 10.1145/1341012.1341050