@article {13307,
	title = {Morse-Smale decompositions for modeling terrain knowledge},
	journal = {Spatial Information Theory},
	year = {2005},
	month = {2005///},
	pages = {426 - 444},
	abstract = {In this paper, we describe, analyze and compare techniques for extracting spatial knowledge from a terrain model. Specifically, we investigate techniques for extracting a morphological representation from a terrain model based on an approximation of a Morse-Smale complex. A Morse-Smale complex defines a decomposition of a topographic surface into regions with vertices at the critical points and bounded by integral lines which connect passes to pits and peaks. This provides a terrain representation which encompasses the knowledge on the salient characteristics of the terrain. We classify the various techniques for computing a Morse-Smale complexe based on the underlying terrain model, a Regular Square Grid (RSG) or a Triangulated Irregular Network (TIN), and based on the algorithmic approach they apply. Finally, we discuss hierarchical terrain representations based on a Morse-Smale decomposition.},
	doi = {10.1007/11556114_27},
	author = {{\v C}omi{\'c},L. and De Floriani, Leila and Papaleo,L.}
}
