A
André Lieutier
Researcher at Dassault Systèmes
Publications - 72
Citations - 1935
André Lieutier is an academic researcher from Dassault Systèmes. The author has contributed to research in topics: Simplicial complex & Medial axis. The author has an hindex of 22, co-authored 66 publications receiving 1734 citations. Previous affiliations of André Lieutier include Matra & École Polytechnique.
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Journal ArticleDOI
The λ-medial axis
Frédéric Chazal,André Lieutier +1 more
TL;DR: In this article, the authors introduced the "lambda-medial axis" Mλ of O, a subset of the medial axis of O which captures the homotopy type of O when λ < wfs.
Journal ArticleDOI
A Sampling Theory for Compact Sets in Euclidean Space
TL;DR: A parameterized notion of feature size is introduced that interpolates between the minimum of the local feature size and the recently introduced weak feature size to ensure the topological correctness of a reconstruction given by an offset of the sampling.
Journal ArticleDOI
Any open bounded subset of R n has the same homotopy type as its medial axis
TL;DR: The main result presented here is the homotopy equivalence of any bounded open subset of R n with its medial axis with its modified medial axis.
Proceedings ArticleDOI
Complexity of the delaunay triangulation of points on surfaces the smooth case
TL;DR: Under a mild uniform sampling condition, it is shown that the complexity of the 3D Delaunay triangulation of the points is O(N log N).
Proceedings ArticleDOI
A sampling theory for compact sets in Euclidean space
TL;DR: A parameterized notion of feature size is introduced that interpolates between the minimum of the local feature size, and the recently introduced weak feature size to ensure the topological correctness of a reconstruction given by an offset of the sampling.