Publications
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An introduction to incidence geometry Ghent University
Some contributions to incidence geometry and the polynomial method Ghent University
Quotients of incidence geometries Vrije Universiteit Brussel
We develop a theory for quotients of geometries and obtain sufficient
conditions for the quotient of a geometry to be a geometry. These
conditions are compared with earlier work on quotients, in particular
by Pasini and Tits. We also explore geometric properties such as connectivity,
firmness and transitivity conditions to determine when they are preserved under
the quotienting operation. We show that the class of ...
conditions for the quotient of a geometry to be a geometry. These
conditions are compared with earlier work on quotients, in particular
by Pasini and Tits. We also explore geometric properties such as connectivity,
firmness and transitivity conditions to determine when they are preserved under
the quotienting operation. We show that the class of ...
Impact of roof geometry of an isolated leeward sawtooth roof building on cross-ventilation: Straight, concave, hybrid or convex? KU Leuven
© 2015 Elsevier Ltd. The roof geometry of a leeward sawtooth roof building can have a large influence on the cross-ventilation flow. In this paper, five different leeward sawtooth roof geometries are evaluated using Computational Fluid Dynamics (CFD). The 3D CFD simulations are performed using the steady Reynolds-Averaged Navier-Stokes approach with the SST k- ω turbulence model to provide closure to the governing equations. The computational ...
Wear patterns in knee OA correlate with native limb geometry KU Leuven University of Antwerp
Background: To date, the amount of cartilage loss is graded by means of discrete scoring systems on artificially divided regions of interest (ROI). However, optimal statistical comparison between and within populations requires anatomically standardized cartilage thickness assessment. Providing anatomical standardization relying on non-rigid registration, we aim to compare morphotypes of a healthy control cohort and virtual reconstructed twins ...
50 years of finite geometry Ghent University
Geometry of the inversion in a finite field and partitions of PG(2k−1,q)in normal rational curves. Vrije Universiteit Brussel
Let L=Fqn be a finite field and let F=Fq be a subfield of L. Consider L as a vector space over F and the associated projective space that is isomorphic to PG(n − 1, q). The properties of the projective mapping induced by x↦x−1 have been studied in Csajbók (Finite Fields Appl. 19:55–66, 2013), Faina et al. (Eur. J. Comb. 23:31–35, 2002), Havlicek (Abh. Math. Sem. Univ. Hamburg 53:266–275, 1983), Herzer (Abh. Math. Sem. Univ. Hamburg 55:211–228 ...
Bridging the gap between measurement-based and simulation-based metamodels for deriving bulk optical properties from spatially-resolved reflectance profiles: effect of illumination and detection geometry KU Leuven
Non-invasive determination of the optical properties is essential for understanding the light propagation in biological tissues and developing optical techniques for quality detection. Simulation-based models provide flexibility in designing the search space, while measurement-based models can incorporate the unknown system responses. However, the interoperability between these two types of models is typically poor. In this research, the ...