@conference {13315, title = {Multiresolution morse triangulations}, booktitle = {Proceedings of the 14th ACM Symposium on Solid and Physical Modeling}, series = {SPM {\textquoteright}10}, year = {2010}, month = {2010///}, pages = {183 - 188}, publisher = {ACM}, organization = {ACM}, address = {New York, NY, USA}, abstract = {We address the problem of representing the geometry and the morphology of a triangulated surface endowed with a scalar field in a combined geometric and topological multiresolution model. The model, called a Multiresolution Morse Triangulation (MMT), is composed of a multiresolution triangle mesh, and of a multiresolution Morse complex describing the morphology of the field. The MMT is built through a combined morphological and geometrical generalization, and supports queries to extract consistent geometrical and morphological representations of the field at both uniform and variable resolutions.}, isbn = {978-1-60558-984-8}, doi = {10.1145/1839778.1839806}, url = {http://doi.acm.org/10.1145/1839778.1839806}, author = {Danovaro,Emanuele and De Floriani, Leila and Magillo,Paola and Vitali,Maria} }