21 citations · 23 across the 6 of their papers we have counts for
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cs.CG2020
Discrete Line Fields on Surfaces
Tiago Novello, João Paixão, Carlos Tomei +1
Vector fields and line fields, their counterparts without orientations on tangent lines, are familiar objects in the theory of dynamical systems. Among the techniques used in their…
cs.CG2013★ 21 cited
Parameterized Complexity of Discrete Morse Theory
Benjamin A. Burton, Thomas Lewiner, João Paixão +1
Optimal Morse matchings reveal essential structures of cell complexes which lead to powerful tools to study discrete geometrical objects, in particular discrete 3-manifolds. Howeve…