Pascal Romon

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Publications

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Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures

Jacques-Olivier Lachaud , David Coeurjolly , Céline Labart , Pascal Romon , Boris Thibert

Computer Graphics Forum, 2023, 42 (5), pp.e14910. ⟨10.1111/cgf.14910⟩

Article dans une revue hal-04140178v1
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Convexity preserving deformations of digital sets: Characterization of removable and insertable pixels

Lama Tarsissi , Yukiko Kenmochi , Pascal Romon , David Coeurjolly , Jean-Pierre Borel

Discrete Applied Mathematics, 2023, 341, pp.270-289. ⟨10.1016/j.dam.2023.08.016⟩

Article dans une revue hal-03712662v2
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Corrected Curvature Measures

Jacques-Olivier Lachaud , Pascal Romon , Boris Thibert

Discrete and Computational Geometry, 2022, 68, pp.477-524. ⟨10.1007/s00454-022-00399-4⟩

Article dans une revue hal-02193774v1
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Interpolated corrected curvature measures for polygonal surfaces

Jacques-Olivier Lachaud , Pascal Romon , Boris Thibert , David Coeurjolly

Computer Graphics Forum, 2020, 39 (5), pp.41-54. ⟨10.1111/cgf.14067⟩

Article dans une revue hal-02891465v1
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Characterization of bijective digitized rotations on the hexagonal grid

Kacper Pluta , Tristan Roussillon , David Cœurjolly , Pascal Romon , Yukiko Kenmochi et al.

Journal of Mathematical Imaging and Vision, 2018, 60 (5), pp.707-716. ⟨10.1007/s10851-018-0785-1⟩

Article dans une revue hal-01540772v2
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Discrete CMC surfaces in R^3 and discrete minimal surfaces in S^3 : a discrete Lawson correspondence

Alexander I Bobenko , Pascal Romon

Journal of Integrable Systems, 2017, 2 (1), pp.1-18. ⟨10.1093/integr/xyx010⟩

Article dans une revue hal-01517411v2
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Bijective digitized rigid motions on subsets of the plane

Kacper Pluta , Pascal Romon , Yukiko Kenmochi , Nicolas Passat

Journal of Mathematical Imaging and Vision, 2017, 59 (1), pp.84-105. ⟨10.1007/s10851-017-0706-8⟩

Article dans une revue hal-01497610v1
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Ricci curvature on polyhedral surfaces via optimal transportation

Benoît Loisel , Pascal Romon

Axioms, 2014, 3 (1), pp.119-139. ⟨10.3390/axioms3010119⟩

Article dans une revue hal-00941486v2
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A canonical structure on the tangent bundle of a pseudo- or para-Kähler manifold

Henri Anciaux , Pascal Romon

Monatshefte für Mathematik, 2014, 174 (3), pp.329-355. ⟨10.1007/s00605-014-0630-6⟩

Article dans une revue hal-00778411v3
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The Logarithmic Sobolev Constant of The Lamplighter

Evgeny Abakumov , Anne Beaulieu , François Blanchard , Matthieu Fradelizi , Nathaël Gozlan et al.

Journal of Mathematical Analysis and Applications, 2013, 399, pp.576-585. ⟨10.1016/j.jmaa.2012.10.002⟩

Article dans une revue hal-00533572v1

The spectral data for Hamiltonian stationary Lagrangian tori in R^4

Ian Mcintosh , Pascal Romon

Differential Geometry and its Applications, 2011, 29 (2), pp.125-146. ⟨10.1016/j.difgeo.2011.02.007⟩

Article dans une revue hal-00163082v1

Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface

Henri Anciaux , Brendan Guilfoyle , Pascal Romon

Journal of Geometry and Physics, 2011, 61 (1), pp.237-247. ⟨10.1016/j.geomphys.2010.09.017⟩

Article dans une revue hal-00333742v1

Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori

Katrin Leschke , Pascal Romon

Calculus of Variations and Partial Differential Equations, 2010, 38 (1-2), pp.45-74. ⟨10.1007/s00526-009-0278-6⟩

Article dans une revue hal-00288862v1
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Cyclic and ruled Lagrangian surfaces in complex Euclidean space

Henri Anciaux , Pascal Romon

Bulletin Brazilian Mathematical Society, 2009, 40 (3), pp.341-369. ⟨10.1007/s00574-009-0015-y⟩

Article dans une revue hal-00137761v2
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Lagrangian submanifolds foliated by (n-1)-spheres in R^2n

Henri Anciaux , Ildefonso Castro , Pascal Romon

Acta Mathematica Sinica English Series, 2006, 22 (4), pp.1197-1214. ⟨10.1007/s10114-005-0690-6⟩

Article dans une revue hal-00001075v1
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Hamiltonian stationary tori in the complex projective plane

Frédéric Hélein , Pascal Romon

Proceedings of the London Mathematical Society, 2005, 90, pp.472-496. ⟨10.1112/S002461150401500X⟩

Article dans une revue hal-00000691v2

The periodic isoperimetric problem

Laurent Hauswirth , Joaquín Pérez , Pascal Romon , Antonio Ros

Transactions of the American Mathematical Society, 2003, 356 (5), pp.2025-2047. ⟨10.1090/S0002-9947-03-03362-2⟩

Article dans une revue hal-00175487v1

Hamiltonian stationary Lagrangian surfaces in C^2

Frédéric Hélein , Pascal Romon

Communications in Analysis and Geometry, 2002, 10 (1), pp.79-126. ⟨10.4310/CAG.2002.v10.n1.a5⟩

Article dans une revue hal-00795181v1
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Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions

Frédéric Hélein , Pascal Romon

Commentarii Mathematici Helvetici, 2000, 75 (4), pp.668-680. ⟨10.1007/s000140050144⟩

Article dans une revue hal-00858413v1

Embedded minimal ends of finite type

Laurent Hauswirth , Joaquín Pérez , Pascal Romon

Transactions of the American Mathematical Society, 2000, 353 (4), pp.1335--1370. ⟨10.1090/S0002-9947-00-02640-4⟩

Article dans une revue hal-00175489v1
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On helicoidal ends of minimal surfaces

Pascal Romon

Annals of Global Analysis and Geometry, 1994, 12 (1), pp.341. ⟨10.1007/BF02108306⟩

Article dans une revue istex hal-00860937v1
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A rigidity theorem for Riemann's minimal surfaces

Pascal Romon

Annales de l'Institut Fourier, 1993, 43 (2), pp.485. ⟨10.5802/aif.1342⟩

Article dans une revue hal-00862672v1
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Algorithms for pixelwise shape deformations preserving digital convexity

Lama Tarsissi , Yukiko Kenmochi , Hadjer Djerroumi , David Coeurjolly , Pascal Romon et al.

International Conference on Discrete Geometry and Mathematical Morphology (DGMM), Oct 2022, Strasbourg, France. pp.84-97, ⟨10.1007/978-3-031-19897-7_8⟩

Communication dans un congrès hal-03768827v1
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Convexity Preserving Contraction of Digital Sets

Lama Tarsissi , David Coeurjolly , Yukiko Kenmochi , Pascal Romon

The 5th Asian Conference on Pattern Recognition (ACPR 2019), Nov 2019, Auckland, New Zealand. pp.611-624, ⟨10.1007/978-3-030-41299-9_48⟩

Communication dans un congrès hal-02315084v2
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Honeycomb geometry: Rigid motions on the hexagonal grid

Kacper Pluta , Pascal Romon , Yukiko Kenmochi , Nicolas Passat

Discrete Geometry for Computer Imagery (DGCI), 2017, Vienne, Austria. pp.33-45, ⟨10.1007/978-3-319-66272-5_4⟩

Communication dans un congrès hal-01497608v2
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Bijective rigid motions of the 2D Cartesian grid

Kacper Pluta , Pascal Romon , Yukiko Kenmochi , Nicolas Passat

Discrete Geometry for Computer Imagery (DGCI), 2016, Nantes, France. pp.359-371, ⟨10.1007/978-3-319-32360-2_28⟩

Communication dans un congrès hal-01275598v2
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Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image

Kacper Pluta , Guillaume Moroz , Yukiko Kenmochi , Pascal Romon

The 18th International Workshop on Computer Algebra in Scientific Computing, Sep 2016, Bucharest, Romania. pp.426 - 443, ⟨10.1007/978-3-319-45641-6_27⟩

Communication dans un congrès hal-01334257v2
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Bijectivity certification of 3D digitized rotations

Kacper Pluta , Pascal Romon , Yukiko Kenmochi , Nicolas Passat

Computational Topology in Image Context (CTIC), 2016, Marseille, France. pp.30-41, ⟨10.1007/978-3-319-39441-1_4⟩

Communication dans un congrès hal-01315226v2
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Topological alterations of 3D digital images under rigid transformations

Kacper Pluta , Yukiko Kenmochi , Nicolas Passat , Hugues Talbot , Pascal Romon

Reims Image, 2014, Reims, France. pp.31-33

Communication dans un congrès hal-01333586v1
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The spinor representation formula in 3 and 4 dimensions

Pascal Romon , Julien Roth

Conference on Pure and Applied Differential Geometry, Aug 2012, Leuven, Belgium. pp.300

Communication dans un congrès hal-00857015v1
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From cmc surfaces to Hamiltonian Stationary Lagrangian Surfaces

Frédéric Hélein , Pascal Romon

Mathematical Society of Japan 9th International Research Institute on Integrable Systems in Differential Geometry, 2002, Tokyo, Japan. pp.163-187

Communication dans un congrès hal-00733014v1

Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces

Frédéric Hélein , Pascal Romon

Mathematical Society of Japan 9thInternational Research Institute on Integrable Systems in Differential Geometry, 2000, Tokyo, Japan. pp.161-178

Communication dans un congrès hal-00739688v1
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A Weierstrass-type representation for Lagrangian surfaces in R^4

Pascal Romon

Fifth Pacific Rim Geometry Conference, 2000, Sendai, Japan. pp.147-152

Communication dans un congrès hal-00858084v1
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Problèmes variationnels liés à l'aire

Pascal Romon

Mathématiques [math]. Université de Marne la Vallée, 2004

HDR tel-00008760v1