Afficher la notice abrégée

Reconstruction of trajectories-Challenge AMIES

hal.structure.identifierModélisation mathématique, calcul scientifique [MMCS]
hal.structure.identifierMulti-scale modelling of cell dynamics : application to hematopoiesis [DRACULA]
dc.contributor.authorDARIVA, Kyriaki
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorJARAMILLO, Pedro
dc.date.accessioned2024-04-04T02:45:26Z
dc.date.available2024-04-04T02:45:26Z
dc.date.issued2021-10-04
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191468
dc.description.abstractEnGiven a set of successive images which contain the positions of people in a certain space and at a certain time, we propose a method to reconstruct their trajectories. A surveillance 3D-camera takes a photo of the place every a certain fraction of the second and provides us with the data, after processing each picture and retrieving the position of the people in its view. We connect points from successive images by considering that people's position evolves with optimal transport. Our approach is mainly implemented by using a linear programming function, already available in Python. As the camera produces imperfect measurements, we define a framework to classify data and filter out noise. After presenting the problem of optimal transport of finite points as a linear programming problem, we provide some details of our modeling procedure. Finally, we show some of the results obtained with our method while we also suggest ideas to further improve our work.
dc.language.isoen
dc.title.enReconstruction of trajectories-Challenge AMIES
dc.typeRapport
dc.subject.halMathématiques [math]
bordeaux.page1-15
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionUniv Lyon, Université Claude-Bernard Lyon 1
bordeaux.type.institutionUniversité de bordeaux
bordeaux.type.reportrr
hal.identifierhal-03364121
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03364121v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2021-10-04&rft.spage=1-15&rft.epage=1-15&rft.au=DARIVA,%20Kyriaki&JARAMILLO,%20Pedro&rft.genre=unknown


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée