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Introducing a microscope objective in an interferometric setup induces a phase curvature on the resulting wavefront. In digital holography, the compensation of this curvature is often done by introducing an identical curvature in the reference arm and the ...
We present large-eddy simulations of the turbulent compressible flow at a low Mach number in curved ducts. The aim is to investigate the influence of the curvature radius Rc on the flow. Three simulations are carried out at Rc = 3.5 Dh, 6.5 Dh and 10.5 Dh ...
In this paper, we focus on the use of random projections as a dimensionality reduction tool for sampled manifolds in high-dimensional Euclidean spaces. We show that geodesic paths approximations from nearest neighbors Euclidean distances are well-preserved ...
The aim of this dissertation is to solve numerically the following problem, denoted by P : given a Riemannian manifold and two points a and b belonging to that manifold, find a tangent vector T at a, such that expa(T) = b, assuming that T exists. This prob ...
The proposed heuristic combines a variable neighborhood search (VNS) framework with a local search performed by a trust-region algorithm. The curvature of the function is exploited to generate the neighborhoods. Numerical results illustrate an excellent be ...
This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...
We present Large-Eddy Simulations (LES) of the turbulent compressible flow in curved ducts of square cross section. The aim is to investigate the influence of the curvature radius Rc on the flow and the heat transfer. We consider three different curvature ...
A microfabrication process of a multifunctional probe is introduced for atomic force microscopy and various electrochemical measurements on biological samples in buffer solution. The silicon nitride probes have a spring constant lower than 0.1 N/m and a co ...
The present paper proposes a Monte Carlo model to simulate the evolution of the microstructure during liquid phase sintering. The model mainly assumes that the system temperature is constant and that the composition of the liquid phase is completely homoge ...
The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing throug ...