Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Pascal Romon"'
Autor:
Benoît Loisel, Pascal Romon
Publikováno v:
Axioms, Vol 3, Iss 1, Pp 119-139 (2014)
The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs. He named
Externí odkaz:
https://doaj.org/article/b28c98607bee42be8a1f6799ad677b32
Publikováno v:
Discrete and Computational Geometry
Discrete and Computational Geometry, Springer Verlag, 2022, 68, pp.477-524. ⟨10.1007/s00454-022-00399-4⟩
Discrete and Computational Geometry, 2022, 68, pp.477-524. ⟨10.1007/s00454-022-00399-4⟩
Discrete and Computational Geometry, Springer Verlag, 2022, 68, pp.477-524. ⟨10.1007/s00454-022-00399-4⟩
Discrete and Computational Geometry, 2022, 68, pp.477-524. ⟨10.1007/s00454-022-00399-4⟩
International audience; This paper proposes a new mathematical and computational tool for infering the geometry of shapes known only through approximations such as triangulated or digital surfaces. The main idea is to decouple the position of the sha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07666dfb43caa2a5096377450056d674
https://hal.archives-ouvertes.fr/hal-02193774/document
https://hal.archives-ouvertes.fr/hal-02193774/document
Publikováno v:
Computer Graphics Forum
Computer Graphics Forum, Wiley, 2020, 39 (5), pp.41-54. ⟨10.1111/cgf.14067⟩
Computer Graphics Forum, 2020, 39 (5), pp.41-54. ⟨10.1111/cgf.14067⟩
Computer Graphics Forum, Wiley, 2020, 39 (5), pp.41-54. ⟨10.1111/cgf.14067⟩
Computer Graphics Forum, 2020, 39 (5), pp.41-54. ⟨10.1111/cgf.14067⟩
International audience; A consistent and yet practically accurate definition of curvature onto polyhedral meshes remains an open problem. We propose a new framework to define curvature measures, based on the Corrected Normal Current, which generalize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbde8af513b33e0917154bd7b6c4f150
https://hal.archives-ouvertes.fr/hal-02891465
https://hal.archives-ouvertes.fr/hal-02891465
Publikováno v:
The 5th Asian Conference on Pattern Recognition (ACPR 2019)
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⟩
Lecture Notes in Computer Science ISBN: 9783030412982
ACPR (2)
ACPR 2019
ACPR 2019, Nov 2019, Auckland, New Zealand
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⟩
Lecture Notes in Computer Science ISBN: 9783030412982
ACPR (2)
ACPR 2019
ACPR 2019, Nov 2019, Auckland, New Zealand
International audience; Convexity is one of the useful geometric properties of digital sets in digital image processing. There are various applications which require deforming digital convex sets while preserving their convexity. In this article, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1042fafc03b03fb502c1709fbd8805ef
https://hal.archives-ouvertes.fr/hal-02315084v2/document
https://hal.archives-ouvertes.fr/hal-02315084v2/document
Autor:
Kacper Pluta, David Cœurjolly, Pascal Romon, Yukiko Kenmochi, Tristan Roussillon, Victor Ostromoukhov
Publikováno v:
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision, Springer Verlag, 2018, 60 (5), pp.707-716. ⟨10.1007/s10851-018-0785-1⟩
Journal of Mathematical Imaging and Vision, Springer Verlag, 2018, 60 (5), pp.707-716. ⟨10.1007/s10851-018-0785-1⟩
Submitted to Journal of Mathematical Imaging and Vision.; International audience; Digitized rotations on discrete spaces are usually defined as the composition of a Euclidean rotation and a rounding operator; they are in general not bijective. Nevert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77b7c86a44c6d77857b7ae65ee9374fd
https://hal.archives-ouvertes.fr/hal-01540772v2/file/article.pdf
https://hal.archives-ouvertes.fr/hal-01540772v2/file/article.pdf
Autor:
Laurent Najman, Pascal Romon
This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer
Publikováno v:
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision, Springer Verlag, 2017, 59 (1), pp.84-105. ⟨10.1007/s10851-017-0706-8⟩
Journal of Mathematical Imaging and Vision, Springer Verlag, 2017, 59 (1), pp.84-105. ⟨10.1007/s10851-017-0706-8⟩
International audience; Rigid motions in $\mathbb{R}^2$ are fundamental operations in 2D image processing. They satisfy many properties: in particular, they are isometric and therefore bijective. Digitized rigid motions, however, lose these two prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a830f116f581d2c8e8707ee41a0a871b
https://hal.archives-ouvertes.fr/hal-01497610
https://hal.archives-ouvertes.fr/hal-01497610
Publikováno v:
Discrete Geometry for Computer Imagery ISBN: 9783319662718
DGCI
Lecture Notes in Computer Science
Discrete Geometry for Computer Imagery (DGCI)
Discrete Geometry for Computer Imagery (DGCI), 2017, Vienne, Austria. pp.33-45, ⟨10.1007/978-3-319-66272-5_4⟩
Discrete Geometry for Computer Imagery
Discrete Geometry for Computer Imagery, 2017, Vienne, Austria. pp.33-45, ⟨10.1007/978-3-319-66272-5_4⟩
DGCI
Lecture Notes in Computer Science
Discrete Geometry for Computer Imagery (DGCI)
Discrete Geometry for Computer Imagery (DGCI), 2017, Vienne, Austria. pp.33-45, ⟨10.1007/978-3-319-66272-5_4⟩
Discrete Geometry for Computer Imagery
Discrete Geometry for Computer Imagery, 2017, Vienne, Austria. pp.33-45, ⟨10.1007/978-3-319-66272-5_4⟩
International audience; Euclidean rotations in R^2 are bijective and isometric maps, but they lose generally these properties when digitized in discrete spaces. In particular, the topological and geometrical defects of digitized rigid motions on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd9bd5cf67b7b938482c263ff6b46d2b
https://doi.org/10.1007/978-3-319-66272-5_4
https://doi.org/10.1007/978-3-319-66272-5_4
Publikováno v:
The 18th International Workshop on Computer Algebra in Scientific Computing
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⟩
Computer Algebra in Scientific Computing ISBN: 9783319456409
CASC
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⟩
Computer Algebra in Scientific Computing ISBN: 9783319456409
CASC
International audience; Rigid motions are fundamental operations in image processing. While bijective and isometric in $\mathbb{R}^3$, they lose these properties when digitized in $\mathbb{Z}^3$. To understand how the digitization of 3D rigid motions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba2e403ec42bb28d050084145aebfff4
https://hal.archives-ouvertes.fr/hal-01334257v2/document
https://hal.archives-ouvertes.fr/hal-01334257v2/document