Non-orthogonal cross fields for quadrilateral meshing

Details

Supervisors

Remacle, Jean-François

Faculty

Ecole polytechnique de Louvain

Degree label

Master [120] : ingénieur civil en mathématiques appliquées, à finalité spécialisée

Abstract

During this master thesis, we study the problem of generating quad-meshes for geometries with very acute or obtuse angles. The aim is to avoid irregular nodes on the corners of the geometry and also to minimise the number of irregular nodes. We will attempt an approach using non-orthogonal crosses that is strongly inspired by Desobry et al (2021). We begin by showing different approaches to generating quadrilateral meshes. We will also introduce 2 models using frame fields. We will see the advantages and disadvantages of these approaches. We will continue by detailing the methodology and the adaptations made in comparison with Desobry et al (2021). Then, we will present the results obtained by specifying the parameters used. We conclude by summarising what was explained during the master thesis and by detailing the limitations of this approach.