PTOPO: Computing the geometry and the topology of parametric curves

Autor: Katsamaki, Christina, Rouillier, Fabrice, Tsigaridas, Elias, Zafeirakopoulos, Zafeirakis

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2022, ⟨10.1016/j.jsc.2022.08.012⟩

We consider the problem of computing the topology and describing the geometry of a parametric curve in $\mathbb{R}^n$. We present an algorithm, PTOPO, that constructs an abstract graph that is isotopic to the curve in the embedding space. Our method

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::156d289af4e0ead91ef4752a4ea5a047
https://doi.org/10.1016/j.jsc.2022.08.012

On Rectangle-Decomposable 2-Parameter Persistence Modules

Autor: Botnan, Magnus Bakke, Lebovici, Vadim, Oudot, Steve, Cabello, Sergio, Chen, Danny Z.

Publikováno v: Discrete and Computational Geometry, 68(4), 1078-1101. Springer New York
Leibniz International Proceedings in Informatics
SoCG 2020-36th International Symposium on Computational Geometry
SoCG 2020-36th International Symposium on Computational Geometry, Sergio Cabello; Danny Z. Chen, Jun 2020, Zurich, Switzerland. pp.22:1-22:16, ⟨10.4230/LIPIcs.SoCG.2020.22⟩
Botnan, M B, Lebovici, V & Oudot, S 2022, ' On Rectangle-Decomposable 2-Parameter Persistence Modules ', Discrete and Computational Geometry, vol. 68, no. 4, pp. 1078-1101 . https://doi.org/10.1007/s00454-022-00383-y
Discrete and Computational Geometry
Discrete and Computational Geometry, 2022, 68 (4), pp.1078-1101. ⟨10.1007/s00454-022-00383-y⟩
36th International Symposium on Computational Geometry, SoCG 2020: [Proceedings], 1-16
STARTPAGE=1;ENDPAGE=16;TITLE=36th International Symposium on Computational Geometry, SoCG 2020
Botnan, M B, Lebovici, V & Oudot, S 2020, On rectangle-decomposable 2-parameter persistence modules . in S Cabello & D Z Chen (eds), 36th International Symposium on Computational Geometry, SoCG 2020 : [Proceedings] . Leibniz International Proceedings in Informatics, LIPIcs, vol. 164, Schloss Dagstuhl-Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 1-16, 36th International Symposium on Computational Geometry, SoCG 2020, Zurich, Switzerland, 23/06/20 . https://doi.org/10.4230/LIPIcs.SoCG.2020.22

This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete? (b) can we determine efficiently whether a given 2-parameter persistence module belongs to this class

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f757e40219e1828522c242976c9be9f
https://hdl.handle.net/1871.1/9a51e366-1376-46b6-819d-70c08ad5fb88

Non-identifiability visualisation algorithms

Autor: Munier, Nathanaël, Soubies, Emmanuel, Weiss, Pierre

Publikováno v: GRETSI 2023
XXIXème Colloque Francophone de Traitement du Signal et des Images (GRETSI 2023)
XXIXème Colloque Francophone de Traitement du Signal et des Images (GRETSI 2023), Groupe de Recherche et d'Etudes de Traitement du Signal et des Images, Aug 2023, Grenoble, France. à paraître

International audience; The identification of a set of parameters x from observed data y is often reduced to the resolution of a problem of the type f(x) = y, where f is a continuous application. This equation appears in domains such as (blind) inver

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______4074::cf520821e105d08690a7633d7cbb79f6
https://hal.science/hal-04138308

Fast persistent homology computation for functions on ℝ

Autor: Glisse, Marc

0-dimensional persistent homology is known, from a computational point of view, as the easy case. Indeed, given a list of $n$ edges in non-decreasing order of filtration value, one only needs a union-find data structure to keep track of the connected

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______165::79592ce386611051cd4b277d647d9027
https://inria.hal.science/hal-04148137

Mesh Denoising With Facet Graph Convolutions

Autor: Edmond Boyer, Matthieu Armando, Jean-Sébastien Franco

Publikováno v: IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/TVCG.2020.3045490⟩
IEEE Transactions on Visualization and Computer Graphics, 2022, 28 (8), pp.2999-3012. ⟨10.1109/TVCG.2020.3045490⟩

code available at the following address:https://gitlab.inria.fr/marmando/deep-mesh-denoizing; International audience; We examine the problem of mesh denoising, which consists of removing noise from corrupted 3D meshes while preserving existing geomet

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dcc185ac0025b2dcd885041a4db83a1
https://doi.org/10.1109/tvcg.2020.3045490