26 citations · 72 across the 18 of their papers we have counts for
3 papers · 1 filter
How to see the eight Thurston geometries
Tiago Novello, Vinícius da Silva, Luiz Velho +1
In this expository paper, we present a survey about the history of the geometrization conjecture and the background material on the classification of Thurston's eight geometries. W…
Greedy Morse matchings and discrete smoothness
Joao Paixao, Joao Lagoas, Thomas Lewiner +1
Discrete Morse theory emerged as an essential tool for computational geometry and topology. Its core structures are discrete gradient fields, defined as acyclic matchings on a comp…
Discrete Gradient Line Fields on Surfaces
Thomas Lewiner, Tiago Novello, Joao Paixao +1
A line field on a manifold is a smooth map which assigns a tangent line to all but a finite number of points of the manifold. As such, it can be seen as a generalization of vector…