76 citations · 123 across the 14 of their papers we have counts for
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math.OC2021★ 9 cited
Sensitivity analysis and tailored design of minimization diagrams
Ernesto G. Birgin, Antoine Laurain, Tiago C. Menezes
Minimization diagrams encompass a large class of diagrams of interest in the literature, such as generalized Voronoi diagrams. We develop an abstract perturbation theory and perfor…
math.OC2021★ 13 cited
A Shape-Newton approach to the problem of covering with identical balls
Ernesto G. Birgin, Antoine Laurain, Rafael Massambone +1
The problem of covering a region of the plane with a fixed number of minimum-radius identical balls is studied in the present work. An explicit construction of bi-Lipschitz mapping…