André Lieutier

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All published works

Action	Title	Year	Authors
+	A free lunch: manifolds of positive reach can be smoothed without decreasing the reach	2024	Hana Dal Poz Kouřimská André Lieutier Mathijs Wintraecken
+	Manifolds of positive reach, differentiability, tangent variation, and attaining the reach	2024	André Lieutier Mathijs Wintraecken
+ PDF Chat	When alpha-complexes collapse onto codimension-1 submanifolds	2024	Dominique Attali Mattéo Clémot Bianca B. Dornelas André Lieutier
+	Tight Bounds for the Learning of Homotopy à la Niyogi, Smale, and Weinberger for Subsets of Euclidean Spaces and of Riemannian Manifolds	2024	Dominique Attali Hana Dal Poz Kouřimská Christopher Fillmore Ishika Ghosh André Lieutier Elizabeth A. Stephenson Mathijs Wintraecken
+	Supplementary material: The ultimate frontier: An optimality construction for homotopy inference	2024	Dominique Attali Christopher Fillmore Ishika Ghosh André Lieutier Elizabeth A. Stephenson Mathijs Wintraecken Hana Dal Poz Kouřimská
+	The Medial Axis of Any Closed Bounded Set Is Lipschitz Stable with Respect to the Hausdorff Distance Under Ambient Diffeomorphisms	2024	Hana Dal Poz Kouřimská André Lieutier Mathijs Wintraecken
+	Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial Axis	2023	André Lieutier Mathijs Wintraecken
+	Hausdorff and Gromov-Hausdorff stable subsets of the medial axis	2023	André Lieutier Mathijs Wintraecken
+ PDF Chat	Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations	2022	David Cohen‐Steiner André Lieutier Julien Vuillamy
+ PDF Chat	Optimal homotopy reconstruction results à la Niyogi, Smale, and Weinberger	2022	Dominique Attali Hana Dal Poz Kouřimská Christopher Fillmore Ishika Ghosh André Lieutier Elizabeth A. Stephenson Mathijs Wintraecken
+ PDF Chat	Delaunay-like Triangulation of Smooth Orientable Submanifolds by L1-Norm Minimization	2022	Dominique Attali André Lieutier
+	Delaunay-like Triangulation of Smooth Orientable Submanifolds by L1-Norm Minimization	2022	Dominique Attali André Lieutier
+	Flat Delaunay Complexes for Homeomorphic Manifold Reconstruction	2022	Dominique Attali André Lieutier
+	Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of Euclidean spaces and of Riemannian manifolds	2022	Dominique Attali Hana Dal Poz Kouřimská Christopher Fillmore Ishika Ghosh André Lieutier Elizabeth A. Stephenson Mathijs Wintraecken
+	The medial axis of closed bounded sets is Lipschitz stable with respect to the Hausdorff distance under ambient diffeomorphisms	2022	Hana Dal Poz Kouřimská André Lieutier Mathijs Wintraecken
+ PDF Chat	Local Conditions for Triangulating Submanifolds of Euclidean Space	2020	Jean‐Daniel Boissonnat Ramsay Dyer Arijit Ghosh André Lieutier Mathijs Wintraecken
+ PDF Chat	The reach, metric distortion, geodesic convexity and the variation of tangent spaces	2019	Jean‐Daniel Boissonnat André Lieutier Mathijs Wintraecken
+	The Reach, Metric Distortion, Geodesic Convexity and the Variation of Tangent Spaces.	2018	Jean‐Daniel Boissonnat André Lieutier Mathijs Wintraecken
+	The reach, metric distortion, geodesic convexity and the variation of tangent spaces	2018	Jean‐Daniel Boissonnat André Lieutier Mathijs Wintraecken
+ PDF Chat	Inference of Curvature Using Tubular Neighborhoods	2017	Frédéric Chazal David Cohen‐Steiner André Lieutier Quentin Mérigot Boris Thibert
+ PDF Chat	Geometry-driven Collapses for Converting a Čech Complex into a Triangulation of a Nicely Triangulable Shape	2015	Dominique Attali André Lieutier
+	Homological reconstruction and simplification in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2014	Dominique Attali Ulrich Bauer Olivier Devillers Marc Glisse André Lieutier
+ PDF Chat	Homological reconstruction and simplification in R <sup>3</sup>	2013	Dominique Attali Ulrich Bauer Olivier Devillers Marc Glisse André Lieutier
+ PDF Chat	Optimal Reconstruction Might be Hard	2013	Dominique Attali André Lieutier
+	Homological reconstruction and simplification in R3	2013	Dominique Attali Ulrich Bauer Olivier Devillers Marc Glisse André Lieutier
+	A computational model for multi-variable differential calculus	2012	Abbas Edalat André Lieutier Dirk Pattinson
+ PDF Chat	Optimal reconstruction might be hard	2010	Dominique Attali André Lieutier
+	Stability of Curvature Measures	2009	Frédéric Chazal David Cohen‐Steiner André Lieutier Boris Thibert
+	Stability of Curvature Measures	2008	Frédéric Chazal David Cohen‐Steiner André Lieutier Boris Thibert
+	Geodesic as Limit of Geodesics on PL-Surfaces	2008	André Lieutier Boris Thibert
+ PDF Chat	Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$	2007	Frédéric Chazal André Lieutier
+	Weak feature size and persistent homology	2005	Frédéric Chazal André Lieutier
+ PDF Chat	A Computational Model for Multi-variable Differential Calculus	2005	Abbas Edalat André Lieutier Dirk Pattinson
+	Domain theory and differential calculus (functions of one variable)	2004	Abbas Edalat André Lieutier
+	Stability and homotopy of a subset of the medial axis	2004	Frédéric Chazal André Lieutier
+	The convex hull in a new model of computation	2001	Abbas Edalat André Lieutier Elham Kashefi

Common Coauthors

Coauthor	Papers Together
Mathijs Wintraecken	14
Dominique Attali	14
Hana Dal Poz Kouřimská	7
Frédéric Chazal	6
Boris Thibert	4
Jean‐Daniel Boissonnat	4
Ishika Ghosh	4
Christopher Fillmore	4
Elizabeth A. Stephenson	4
David Cohen‐Steiner	4
Ulrich Bauer	3
Olivier Devillers	3
Marc Glisse	3
Abbas Edalat	3
Dirk Pattinson	2
Quentin Mérigot	1
Mattéo Clémot	1
Arijit Ghosh	1
Elham Kashefi	1
Ramsay Dyer	1
Julien Vuillamy	1
Bianca B. Dornelas	1
Abbas Edalat	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	10
+	Elements of Algebraic Topology	2018	James R. Munkres	7
+	ELEMENTS OF ALGEBRAIC TOPOLOGY	1972	Kazimierz Kuratowski	6
+ PDF Chat	Stability of Persistence Diagrams	2006	David Cohen‐Steiner Herbert Edelsbrunner John Harer	5
+	Critical point theory for distance functions	1993	Karsten Grove	5
+	Homological illusions of persistence and stability	2008	Herbert Edelsbrunner Dmitriy Morozov	4
+ PDF Chat	Three-dimensional alpha shapes	1994	Herbert Edelsbrunner Ernst P. Mücke	4
+ PDF Chat	Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$	2007	Frédéric Chazal André Lieutier	4
+	Normal cycles of Lipschitz manifolds by approximation with parallel sets	2003	Jan Rataj Martina Zähle	3
+ PDF Chat	Second fundamental measure of geometric sets and local approximation of curvatures	2006	David Cohen‐Steiner Jean‐Marie Morvan	3
+	Algebraic topology	2001	Allen Hatcher	3
+	Weak feature size and persistent homology	2005	Frédéric Chazal André Lieutier	3
+ PDF Chat	General Normal Cycles and Lipschitz Manifolds of Bounded Curvature	2005	Jan Rataj M. Z�hle	3
+	Tubular neighborhoods in Euclidean spaces	1985	Joseph H. G. Fu	3
+	Geometric Measure Theory	1988	Herbert Fédérer	3
+	Critical points of distance functions and applications to geometry	1991	Jeff Cheeger	3
+ PDF Chat	Generalized gradients and applications	1975	Frank H. Clarke	2
+ PDF Chat	Optimal Reconstruction Might be Hard	2013	Dominique Attali André Lieutier	2
+ PDF Chat	Homology and robustness of level and interlevel sets	2013	Paul Bendich Herbert Edelsbrunner Dmitriy Morozov Amit Patel	2
+	Alexander duality for functions	2012	Herbert Edelsbrunner Michael Kerber	2
+	Geometric and Topological Inference	2018	Jean‐Daniel Boissonnat Frédéric Chazal Mariette Yvinec	2
+	A computational model for metric spaces	1998	Abbas Edalat Reinhold Heckmann	2
+ PDF Chat	Extending Persistence Using Poincaré and Lefschetz Duality	2009	David Cohen‐Steiner Herbert Edelsbrunner John Harer	2
+	Extending Persistence Using Poincaré and Lefschetz Duality	2008	David Cohen‐Steiner Herbert Edelsbrunner John Harer	2
+	Generalized Curvatures	2008	Jean‐Marie Morvan	2
+	Local criteria for triangulation of manifolds	2018	Jean‐Daniel Boissonnat Ramsay Dyer Arijit Ghosh Mathijs Wintraecken	2
+ PDF Chat	Categorification of Persistent Homology	2014	Peter Bubenik Jonathan Scott	2
+	Stability of Curvature Measures	2009	Frédéric Chazal David Cohen‐Steiner André Lieutier Boris Thibert	2
+ PDF Chat	Zigzag persistent homology in matrix multiplication time	2011	Nikola Milosavljević Dmitriy Morozov Primož Škraba	2
+	Geometric Measure Theory	1988	Frank Morgan	2
+	Domain theory and differential calculus (functions of one variable)	2004	Abbas Edalat André Lieutier	2
+	On the convergence of metric and geometric properties of polyhedral surfaces	2006	Klaus Hildebrandt Konrad Polthier Max Wardetzky	2
+	Stability of persistence diagrams	2005	David Cohen‐Steiner Herbert Edelsbrunner John Harer	2
+	Vines and vineyards by updating persistence in linear time	2006	David Cohen‐Steiner Herbert Edelsbrunner Dmitriy Morozov	2
+	Geometric Integration Theory	1957	Hassler Whitney	2
+ PDF Chat	The Structure and Stability of Persistence Modules	2016	Frédéric Chazal Vin de Silva Marc Glisse Steve Oudot	2
+	Stability and homotopy of a subset of the medial axis	2004	Frédéric Chazal André Lieutier	2
+	The union of balls and its dual shape	1993	Herbert Edelsbrunner	2
+	Stability of boundary measures	2007	Frédéric Chazal David Cohen‐Steiner Quentin Mérigot	2
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama	2
+ PDF Chat	Quantifying Transversality by Measuring the Robustness of Intersections	2011	Herbert Edelsbrunner Dmitriy Morozov Amit Patel	2
+	Towards persistence-based reconstruction in euclidean spaces	2008	Frédéric Chazal Steve Oudot	1
+ PDF Chat	A Continuous Derivative for Real-Valued Functions	2007	Abbas Edalat	1
+	Theory of Ordinary Differential Equations.	1970	John DeCicco Randal H. Cole	1
+	Introduction to Piecewise-Linear Topology	1972	Colin Rourke Brian Sanderson	1
+	Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold	2001	Janko Latschev	1
+	None	2001	Jan Rataj Martina Zähle	1
+	Sets with positive reach	1982	Victor Bangert	1
+	Essentially Smooth Lipschitz Functions	1997	Jonathan M. Borwein Warren B. Moors	1
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	1