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Rapport Année : 2022

Delaunay property and proximity results of the L-algorithm

Tristan Roussillon
Jui-Ting Lu
Jacques-Olivier Lachaud
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David Coeurjolly

Résumé

On digital planes (set of integer points between two parallel Euclidean planes), plane-probing algorithms initiate with a triangle, update one vertex at a time and approximate the plane on the fly. The L-algorithm is a plane-probing algorithm variant which takes into account a large neighborhood of points for its update process. We recall the framework of plane-probing algorithms, especially for the L-algorithm. We introduce the Delaunay property and prove that it is theoretically held by the L-algorithm. Lastly, we name a few consequences of such property, namely the research of minimal bases and an estimation for the locality. This technical report is provided as supplementary material to the DGMM2022 paper [11].
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Dates et versions

hal-03719592 , version 1 (11-07-2022)

Identifiants

  • HAL Id : hal-03719592 , version 1

Citer

Tristan Roussillon, Jui-Ting Lu, Jacques-Olivier Lachaud, David Coeurjolly. Delaunay property and proximity results of the L-algorithm. [Research Report] Université de Lyon. 2022. ⟨hal-03719592⟩
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