@inproceedings{3997, abstract = {We combine topological and geometric methods to construct a multi-resolution data structure for functions over two-dimensional domains. Starting with the Morse-Smale complex, we construct a topological hierarchy by progressively canceling critical points in pairs. Concurrently, we create a geometric hierarchy by adapting the geometry to the changes in topology. The data structure supports mesh traversal operations similarly to traditional multi-resolution representations.}, author = {Bremer, Peer and Edelsbrunner, Herbert and Hamann, Bernd and Pascucci, Valerio}, booktitle = {Proceedings of the 14th IEEE Conference on Visualization }, isbn = {0780381203}, location = {Seattle, WA, USA }, pages = {139 -- 146}, publisher = {IEEE}, title = {{A multi-resolution data structure for two-dimensional Morse-Smale functions}}, doi = {10.1109/VISUAL.2003.1250365}, year = {2003}, }