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Géométrie digitale utilisée pour la discretisation et le recouvrement optimal des objets euclidiens
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology. Université des Sciences, des Techniques et des Technolgie de Bamako, Republic of Mali.
2016 (French)Doctoral thesis, monograph (Other academic)
Abstract [en]

A Euclidean line in the plane is discretized and the discretized line is dilated by a rectangle.  The thesis studies the dilations that cover the original line and determine the optimal ones.  Similarly, dilations of discretized Euclidean hyperplanes are studied, and the optimal coverings are described.

Place, publisher, year, edition, pages
Bamako, Mali: Université des Sciences, des Techniques et des Technologie de Bamako , 2016. , 114 p.
Keyword [en]
Digital geometry, Euclidean lines, planes
Keyword [fr]
Géométrie digitale, droites euclidiens, plans
National Category
Geometry
Research subject
Mathematics with specialization in Applied Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-317499OAI: oai:DiVA.org:uu-317499DiVA: diva2:1082064
Public defence
2016-01-14, Université des Sciences, des Techniques et des Technologies de Bamako, Bamako, 13:00 (French)
Opponent
Supervisors
Projects
Digital geometry
Note

Main scientific advisor: Christer O. Kiselman.  Advisors in Bamako: Ouaténi Diallo; Diby Diarra.  Another advisor in Uppsala: Gunilla Borgefors.

Funding agencies: International Science Programme (Uppsala, Sweden); Université des Sciences, des Techniques et des Technologies de Bamako (Bamako, Mali).

Available from: 2017-05-05 Created: 2017-03-15 Last updated: 2017-05-05Bibliographically approved

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