A primal/dual representation for discrete Morse complexes on tetrahedral meshes

K Weiss, F Iuricich, R Fellegara… - Computer Graphics …, 2013 - Wiley Online Library
We consider the problem of computing discrete Morse and Morse‐Smale complexes on an
unstructured tetrahedral mesh discretizing the domain of a 3D scalar field. We use a duality …

Efficient computation and simplification of discrete morse decompositions on triangulated terrains

R Fellegara, F Luricich, L De Floriani… - Proceedings of the 22nd …, 2014 - dl.acm.org
We consider the problem of efficient computing and simplifying Morse complexes on a
Triangulated Irregular Network (TIN) based on discrete Morse theory. We develop a compact …

Spatial indexes for simplicial and cellular meshes

R Fellegara - New Trends in Databases and Information Systems …, 2014 - Springer
We address the problem of performing spatial and topological queries on simplicial and
cellular meshes. These arise in several application domains including 3D GIS, scientific …

[引用][C] Shape Modeling and Understanding at the University of Genova

L De Floriani, P Magillo, E Puppo, D Canino