@conference {13329,
	title = {Simplifying morphological representations of 2D and 3D scalar fields},
	booktitle = {Proceedings of the 19th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems},
	series = {GIS {\textquoteright}11},
	year = {2011},
	month = {2011///},
	pages = {437 - 440},
	publisher = {ACM},
	organization = {ACM},
	address = {New York, NY, USA},
	abstract = {We describe a dual graph-based representation for the ascending and descending Morse complexes of a scalar field, and a compact and dimension-independent data structure based on it, which assumes a discrete representation of the field as a simplicial mesh. We present atomic dimension-independent simplification operators on the graph-based representation. Based on such operators, we have developed a simplification algorithm, which allows generalization of the ascending and descending Morse complexes at different levels of resolution. We show here the results of our implementation, discussing the computation times and the size of the resulting simplified graphs, also in comparison with the size of the original full-resolution graph.},
	keywords = {morphological representations, Morse complexes, multi-dimensional data sets, simplification},
	isbn = {978-1-4503-1031-4},
	doi = {10.1145/2093973.2094042},
	url = {http://doi.acm.org/10.1145/2093973.2094042},
	author = {{\v C}omi{\'c},Lidija and De Floriani, Leila and Iuricich,Federico}
}
