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We present a high-order discontinuous Galerkin method for the solution of the shallow water equations on the sphere. To overcome well-known problems with polar singularities, we consider the shallow water equations in Cartesian coordinates, augmented with ...
This thesis deals with the numerical modeling and simulation of granular media with large populations of non-spherical particles. Granular media are highly pervasive in nature and play an important role in technology. They are present in fields as diverse ...
We review the construction of the continuous wavelet transform (CWT) on the two-sphere by two methods, the group-theoretical approach and the geometrical method based on conformal invariance. Then we discuss the discretization of the spherical CWT, obtaini ...
This paper proposes a new method for reconstruction of star-shaped 3D surfaces from scattered datasets, where such surfaces are considered as signals living in the space of square integrable functions on the unit sphere. We first propose a generalization o ...
Omnidirectional images represent a special type of images that are captured by vision sensors with a 360-degree field of view. This work targets the compression of such images by taking into account their particular geometry. We first map omnidirectional i ...
We review the coherent state or group-theoretical construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the ...
Computational visual attention (VA) has been widely investigated during the last three decades but the conventional algorithms are not suitable for omnidirectional images which often contain a significant amount of radial distortion. Only recently a comput ...
A method is presented that extends the replication process for the manufacture of open-celled metallic foams to include foams with spherical cells. Such foams are produced to a wide range of relative densities, tested for mechanical behaviour and resistanc ...
We review the known construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two- sheeted hyperboloid, emphasizing the similarities between the two cases. Finally we give s ...
Synthesis of nanostructures using polymer self-assembly methods have gained widespread attention due to the multitude of possibilities they offer and their simple and cost-effective approaches. Self-assembly of block copolymers has been recognized as a pro ...