A. Lieutier

Most-cited papers

A Sampling Theory for Compact Sets in Euclidean Space
F. Chazal, D. Cohen-Steiner, A. Lieutier
2006SCG '06208 citations Open access
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The λ-medial axis
F. Chazal, A. Lieutier
2005194 citations
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Any open bounded subset of Rn has the same homotopy type as its medial axis
A. Lieutier
2004Comput. Aided Des.144 citations
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Complexity of the delaunay triangulation of points on surfaces the smooth case
D. Attali, J. Boissonnat, A. Lieutier
2003SCG '03134 citations Open access
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Vietoris-rips complexes also provide topologically correct reconstructions of sampled shapes
D. Attali, A. Lieutier, David Salinas
2011International Symposium on Computational Geometry117 citations Open access
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Weak feature size and persistent homology: computing homology of solids in Rn from noisy data samples
F. Chazal, A. Lieutier
2005SCG89 citations
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Any open bounded subset of Rn has the same homotopy type than its medial axis
A. Lieutier
2003ACM Symposium on Solid Modeling and Applications82 citations
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Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees
F. Chazal, A. Lieutier
2008Computational geometry77 citations Open access
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The "lambda-medial axis"
F. Chazal, A. Lieutier
2005Graphical Models75 citations
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The reach, metric distortion, geodesic convexity and the variation of tangent spaces
J. Boissonnat, A. Lieutier, M. Wintraecken
2019Journal of Applied and Computational Topology68 citations Open access
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Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$
F. Chazal, A. Lieutier
2007Discrete & Computational Geometry54 citations Open access
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Stability of Curvature Measures
F. Chazal, D. Cohen-Steiner, A. Lieutier, Boris Thibert
2008Computer graphics forum (Print)52 citations Open access
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Stability and homotopy of a subset of the medial axis
F. Chazal, A. Lieutier
2004ACM Symposium on Solid Modeling and Applications47 citations
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Foundation of a computable solid modelling
A. Edalat, A. Lieutier
2002Theoretical Computer Science47 citations Open access
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Domain theory and differential calculus (functions of one variable)
A. Edalat, A. Lieutier
2002Proceedings 17th Annual IEEE Symposium on Logic in Computer Science44 citations Open access
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Topology guaranteeing manifold reconstruction using distance function to noisy data
F. Chazal, A. Lieutier
2006SCG '0640 citations
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Physically-aware Generative Network for 3D Shape Modeling
Mariem Mezghanni, Malika Boulkenafed, A. Lieutier, M. Ovsjanikov
2021Computer Vision and Pattern Recognition37 citations Open access
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Normal cone approximation and offset shape isotopy
F. Chazal, D. Cohen-Steiner, A. Lieutier
2009Computational geometry32 citations Open access
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Foundation of a computable solid modeling
A. Edalat, A. Lieutier
1999International Conference on Smart Media and Applications28 citations Open access
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A computational model for multi-variable differential calculus
A. Edalat, A. Lieutier, D. Pattinson
2005Information and Computation26 citations Open access
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Ball-Map: Homeomorphism between Compatible Surfaces
F. Chazal, A. Lieutier, J. Rossignac, B. Whited
2010International journal of computational geometry and applications21 citations Open access
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Geometry-driven Collapses for Converting a Čech Complex into a Triangulation of a Nicely Triangulable Shape
D. Attali, A. Lieutier
2013Discrete & Computational Geometry20 citations Open access
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Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations
D. Cohen-Steiner, A. Lieutier, J. Vuillamy
2019Discrete & Computational Geometry19 citations Open access
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Manifold Learning in Quotient Spaces
Éloi Mehr, A. Lieutier, Fernando Sanchez Bermudez, V. Guitteny +2 more
20182018 IEEE/CVF Conference on Computer Vision and Pattern Recognition19 citations Open access
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Reconstructing shapes with guarantees by unions of convex sets
D. Attali, A. Lieutier
2010SCG19 citations Open access
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Normal-Map between Normal-Compatible Manifolds
F. Chazal, A. Lieutier, J. Rossignac
2007International journal of computational geometry and applications18 citations
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Domain-theoretic Solution of Differential Equations (Scalar Fields)
A. Edalat, M. Krznaric, A. Lieutier
2003Mathematical Foundations of Programming Semantics17 citations Open access
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Homological reconstruction and simplification in R3
D. Attali, Ulrich Bauer, O. Devillers, M. Glisse +1 more
2013International Symposium on Computational Geometry16 citations Open access
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Inference of curvature using tubular neighborhoods
F. Chazal, D. Cohen-Steiner, A. Lieutier, Q. Mérigot +1 more
201714 citations Open access
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Shape smoothing using double offsets
F. Chazal, D. Cohen-Steiner, A. Lieutier, Boris Thibert
2007Symposium on Solid and Physical Modeling14 citations Open access
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OrthoMap: Homeomorphism-guaranteeing normal-projection map between surfaces
F. Chazal, A. Lieutier, J. Rossignac
200413 citations
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Tight Bounds for the Learning of Homotopy à la Niyogi, Smale, and Weinberger for Subsets of Euclidean Spaces and of Riemannian Manifolds
D. Attali, Hana Dal Poz Kouřimská, Christopher Fillmore, Ishika Ghosh +3 more
2022International Symposium on Computational Geometry11 citations
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Projection-homeomorphic surfaces
F. Chazal, A. Lieutier, J. Rossignac
2005Symposium on Solid and Physical Modeling11 citations
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Computability in Computational Geometry
A. Edalat, A. Khanban, A. Lieutier
2005Conference on Computability in Europe11 citations Open access
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Computability of Partial Delaunay Triangulation and Voronoi Diagram
A. Khanban, A. Edalat, A. Lieutier
2002International Conference on Computability and Complexity in Analysis11 citations Open access
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Local Conditions for Triangulating Submanifolds of Euclidean Space
J. Boissonnat, R. Dyer, Arijit Ghosh, A. Lieutier +1 more
2020Discrete & Computational Geometry8 citations Open access
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Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial Axis
A. Lieutier, M. Wintraecken
2023Symposium on the Theory of Computing7 citations Open access
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Mechanical linkage design and NP-hardness
A. Lieutier, J. Rameau
20147 citations Open access
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Geometry driven collapses for converting a ˇ Cech complex into a triangulation of a shape
D. Attali, A. Lieutier
20137 citations
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Manifolds of positive reach, differentiability, tangent variation, and attaining the reach
A. Lieutier, M. Wintraecken
2024arXiv.org6 citations
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Optimal Reconstruction Might be Hard
D. Attali, A. Lieutier
2010Discrete & Computational Geometry6 citations Open access
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Delaunay and Regular Triangulations as Lexicographic Optimal Chains
D. Cohen-Steiner, A. Lieutier, J. Vuillamy
2023Discrete & Computational Geometry5 citations Open access
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Lexicographic optimal chains and manifold triangulations
D. Cohen-Steiner, A. Lieutier, J. Vuillamy
20195 citations
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Collapsing Rips complexes
D. Attali, A. Lieutier, David Salinas
20135 citations
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Convergence of geodesics on triangulations
A. Lieutier, Boris Thibert
2009Computer Aided Geometric Design5 citations
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When Convexity Helps Collapsing Complexes
D. Attali, A. Lieutier, David Salinas
2019International Symposium on Computational Geometry4 citations Open access
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Eurographics Symposium on Geometry Processing 2009 Discrete Critical Values: a General Framework for Silhouettes Computation
Marc Alexa, M. Kazhdan, F. Chazal, A. Lieutier +1 more
4 citations
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Delaunay-like Triangulation of Smooth Orientable Submanifolds by L1-Norm Minimization
D. Attali, A. Lieutier
2022International Symposium on Computational Geometry3 citations Open access
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Regular triangulations as lexicographic optimal chains
D. Cohen-Steiner, A. Lieutier, J. Vuillamy
20193 citations
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Simplification of 2D Polygonal Partitions via Point‐line Projective Duality, and Application to Urban Reconstruction
J. Vuillamy, A. Lieutier, Florent Lafarge, P. Alliez
2022Computer graphics forum (Print)2 citations Open access
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