Description of the symmetric convex random closed sets as zonotopes from their Feret diameters

Autor: Johan Debayle, Jean-Charles Pinoli, Saïd Rahmani

Publikováno v: Modern Stochastics: Theory and Applications
Modern Stochastics: Theory and Applications, VTEX, 2017, 3 (4), pp.325 à 364. ⟨10.15559/16-VMSTA70⟩
Modern Stochastics: Theory and Applications, Vol 3, Iss 4, Pp 325-364 (2017)

In this paper, the 2-D random closed sets (RACS) are studied by means of the Feret diameter, also known as the caliper diameter. More specifically, it is shown that a 2-D symmetric convex RACS can be approximated as precisely as we want by some rando

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25b9dcf1dd7fcfbe6887b4baf5672640
https://hal.archives-ouvertes.fr/hal-01430287

Characterization and Estimation of the Variations of a Random Convex Set by Its Mean n-Variogram: Application to the Boolean Model

Autor: Johan Debayle, Jean-Charles Pinoli, Saïd Rahmani

Publikováno v: Lecture Notes in Computer Science ISBN: 9783319250397
GSI
LNCS-Lecture Notes in Computer Science
Conférence GSI 2015-"Geometric Science of Information"
Conférence GSI 2015-"Geometric Science of Information", École Polytechnique-Université Paris-Saclay; SEE – Congress Société de l'Electricité, de l'Electronique et des Technologies de l'Information et de la Communication; THALES AIR SYSTEMS-Technical Directorate Advanced-Department Developments, Oct 2015, Palaiseau, France. pp.296-308, ⟨10.1007/978-3-319-25040-3_33⟩

International audience; In this paper we propose a method to characterize and estimate the variations of a random convex set Ξ0 in terms of shape, size and direction. The mean n-variogram γ (n)Ξ 0 : (u1 · · · un) ↦ E[νd (Ξ0 ∩(Ξ0 −u1) �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bfa51a007072386ba2abb3b38dd8fb6
https://doi.org/10.1007/978-3-319-25040-3_33

Monitoring of industrial crystallization processes through image sequence segmentation and characterization.

Autor: Rahmani, Saïd, de Souza Lima, Roger, Serris, Eric, Cameirão, Ana, Debayle, Johan

Publikováno v: Journal of Electronic Imaging; May/Jun2024, Vol. 33 Issue 3, p31211-31211-15, 1p

FrontMatter.

Publikováno v: Geometric Science of Information Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings; 2015, p1-1, 1p

Geometric Science of Information : Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings

Autor: Frank Nielsen, Frederic Barbaresco

This book constitutes the refereed proceedings of the Second International Conference on Geometric Science of Information, GSI 2015, held in Palaiseau, France, in October 2015. The 80 full papers presented were carefully reviewed and selected from 11