Stephane Breuils

21
Documents

Publications

Publications

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2D Bijective rigid rotation: quantitative and qualitative study

Stéphane Breuils , David Coeurjolly , Jacques-Olivier Lachaud

Journal of Mathematical Imaging and Vision, 2025, 67 (4), pp.37. ⟨10.1007/s10851-025-01252-y⟩

Article dans une revue hal-05125278v1
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Conics, Their Pencils and Intersections in Geometric Algebra

Clément Chomicki , Stéphane Breuils , Venceslas Biri , Vincent Nozick

Advances in Applied Clifford Algebras, 2024, 35, pp.1. ⟨10.1007/s00006-024-01356-5⟩

Article dans une revue hal-04774264v1
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Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors

Stéphane Breuils , Vincent Nozick , Akihiro Sugimoto

Advances in Applied Clifford Algebras, 2022, ⟨10.1007/s00006-022-01249-5⟩

Article dans une revue hal-03169013v2
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New Applications of Clifford’s Geometric Algebra

Kanta Tachibana , Eckhard Hitzer , Stéphane Breuils

Advances in Applied Clifford Algebras, 2022, 32 (1), pp.17. ⟨10.1007/s00006-021-01196-7⟩

Article dans une revue hal-03603294v1
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Garamon: A Geometric Algebra Library Generator

Stéphane Breuils , Vincent Nozick , Laurent Fuchs

Advances in Applied Clifford Algebras, 2019, 29 (4), ⟨10.1007/s00006-019-0987-7⟩

Article dans une revue hal-02196173v1
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Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment

Stéphane Breuils , Laurent Fuchs , Eckhard Hitzer , Vincent Nozick , Akihiro Sugimoto

Advances in Applied Clifford Algebras, 2019, 29 (3), ⟨10.1007/s00006-019-0974-z⟩

Article dans une revue hal-02169419v1
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Quadric Conformal Geometric Algebra of ${\mathbb {R}}^{9,6}$

Stéphane Breuils , Vincent Nozick , Akihiro Sugimoto , Eckhard Hitzer

Advances in Applied Clifford Algebras, 2018, 28 (2), pp.35. ⟨10.1007/s00006-018-0851-1⟩

Article dans une revue hal-01767230v1
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A Geometric Algebra Implementation using Binary Tree

Stéphane Breuils , Vincent Nozick , Laurent Fuchs

Advances in Applied Clifford Algebras, 2017, 1, pp.1-19. ⟨10.1007/s00006-017-0770-6⟩

Article dans une revue hal-01510078v2
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Pencils of CGA for Voronoi and Power Diagrams

Clément Chomicki , Stéphane Breuils , Venceslas Biri , Vincent Nozick

CGI ENGAGE 2024, Jul 2024, Genève, Switzerland

Communication dans un congrès hal-04636752v1
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Construction of Fast and Accurate 2D Bijective Rigid Transformation

Stéphane Breuils , David Coeurjolly , Jacques-Olivier Lachaud

IAPR Third International Conference on Discrete Geometry and Mathematical Morphology, Apr 2024, Florence, Italy

Communication dans un congrès hal-04486661v1
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Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations

Stéphane Breuils , Yukiko Kenmochi , Eric Andres , Akihiro Sugimoto

Computer Graphics International CGI 2022, Sep 2022, Genève, Switzerland. pp.41-53, ⟨10.1007/978-3-031-30923-6_4⟩

Communication dans un congrès hal-03764839v1
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Intersection of conic sections using geometric algebra

Clément Chomicki , Stéphane Breuils , Venceslas Biri , Vincent Nozick

CGI ENGAGE 2023, Aug 2023, Shanghai, China. pp.175-187, ⟨10.1007/978-3-031-50078-7_14⟩

Communication dans un congrès hal-04210085v1
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Visiting bijective digitized reflections and rotations using geometric algebra

Stéphane Breuils , Yukiko Kenmochi , Akihiro Sugimoto

International Conference on Discrete Geometry and Mathematical Morphology, May 2021, Uppsala (virtuel), Sweden. pp.242-254, ⟨10.1007/978-3-030-76657-3_17⟩

Communication dans un congrès hal-03168979v1
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Optimal Parenthesizing of Geometric Algebra Products

Stéphane Breuils , Vincent Nozick , Akihiro Sugimoto

CGI 2020, Oct 2020, Geneva, Switzerland. pp.492-500, ⟨10.1007/978-3-030-61864-3_42⟩

Communication dans un congrès hal-03168974v1
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Transverse approach to geometric algebra models for manipulating quadratic surfaces

Stéphane Breuils , Vincent Nozick , Laurent Fuchs , Akihiro Sugimoto

Computer Graphics International (CGI2019), Jun 2019, Calgary, Canada. ⟨10.1007/978-3-030-22514-8_52⟩

Communication dans un congrès hal-02050767v3
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Surfaces quadratiques à base d'Algèbres Géométriques Conforme

Stéphane Breuils , Vincent Nozick , Laurent Fuchs

GTMG 2019, Mar 2019, Toulouse, France

Communication dans un congrès hal-02262159v1
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Surfaces Quadriques et Algèbres Géométriques

Stéphane Breuils , Vincent Nozick , Laurent Fuchs , Akihiro Sugimoto

Journees Francaises d'Informatique Graphique, Nov 2018, Poitiers, France

Communication dans un congrès hal-02262157v1
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A hybrid approach for computing products of high-dimensional geometric algebras

Stéphane Breuils , Vincent Nozick , Laurent Fuchs , Dietmar Hildenbrand , Werner Benger et al.

CGI / ENGAGE 2017, Jun 2017, Hiyoshi, Japan. pp.1 - 6, ⟨10.1145/3095140.3097284⟩

Communication dans un congrès hal-01552462v1
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Implantation des opérateurs de l'algèbre géométrique par arbres binaires récursifs

Stéphane Breuils , Vincent Nozick , Laurent Fuchs

Journées du Groupe de Travail en Modélisation Géométrique 2016,, 2016, Dijon, France

Communication dans un congrès hal-01926008v1