Multi-scale dual morse complexes for representing terrain morphology

TitleMulti-scale dual morse complexes for representing terrain morphology
Publication TypeConference Papers
Year of Publication2007
AuthorsDanovaro E, De Floriani L, Vitali M, Magillo P
Conference NameProceedings of the 15th annual ACM international symposium on Advances in geographic information systems
Date Published2007///
Conference LocationNew York, NY, USA
ISBN Number978-1-59593-914-2
KeywordsMorphology, multi-scale representations, terrain modeling

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.