Multi-resolution Morse-Smale Complexes for Terrain Modeling

Authors:
Emanuele Danovaro;Leila De Floriani;Maria Vitali
Affiliations:
University of Genova, Italy/ University of Maryland, USA/ Free University of Bozen, Italy;University of Genova, Italy/ University of Maryland, USA/ Free University of Bozen, Italy;University of Genova, Italy/ University of Maryland, USA/ Free University of Bozen, Italy
Venue:
ICIAP '07 Proceedings of the 14th International Conference on Image Analysis and Processing
Year:
2007

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Abstract

We propose a hierarchical representation for the morphology of a terrain. The basis of our morphological model is a decomposition of the terrain model, composed of the stable and unstable manifolds defined by its critical points, called a Morse-Smale complex. We propose a compact dual representation of the Morse-Smale complex and we define new simplification operators of the terrain morphology, which act on such representation. Based on these operators, we define a hierarchical morphology-based representation for a terrain, that we call a Multi-resolution Morse-Smale Complex (MMSC). Results from our implementation of the MMSC are shown.