Publications related to 3-sphere

Voss Surfaces: A Design Space for Geodesic Gridshells

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...

2020

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Frédérick Matthieu Gusset

Convolutional neural networks (CNNs) are powerful tools in Deep Learning mainly due to their ability to exploit the translational symmetry present in images, as they are equivariant to translations. Other datasets present different types of symmetries (e.g ...

2019

Geometric ergodicity for some space-time max-stable Markov chains

Erwan Fabrice Koch

Max-stable processes are central models for spatial extremes. In this paper, we focus on some space-time max-stable models introduced in Embrechts et al. (2016). The processes considered induce discrete-time Markov chains taking values in the space of cont ...

ELSEVIER SCIENCE BV2019

Are Photonic Nanojets Achromatic?

Toralf Scharf, Myun Sik Kim, Michail Symeonidis

In this work we study the evolution of the photonic nanojet (PNJ) phenomenon as the ratio of the sphere's diameter over the illumination wavelength changes, for microspheres with diameters from 2 mu m to 100 mu m. We measure the focal point position by usi ...

SPIE-INT SOC OPTICAL ENGINEERING2019

chi-Shell, a new spatial deployable lattice compared to traditional reticulated shells

Mark Pauly, Florin Isvoranu, Etienne Bouleau

The chi-Shells is a new kind of deployable reticulated shells that has features comparable to other traditional shells. Its deployment uses the mechanical properties of a beam grid to generate a three-dimensional shape. This new generation of reticulated s ...

INT CENTER NUMERICAL METHODS ENGINEERING2019

Concentration compactness for critical radial wave maps

Joachim Krieger, Elisabetta Chiodaroli

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

On the diametric compression strength test of brittle spherical particles

Andreas Mortensen, Goran Zagar, Václav Pejchal

Diametric compression testing can be used to measure the hoop strength of spherical particles if one uses platens whose deformation behaviour is tailored in a way that allows the particles to sink sufficiently far into the platens before particle fracture ...

2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

When droplets deform, break up and propel microswimmers

Giacomo Gallino

This thesis investigates the motion and breakup of droplets in low-Reynolds-number flows, focusing on two aspects. In the first part, we study the breakup of droplets in subcritical flow conditions, when there exists a linearly stable solution for the drop ...

EPFL2018

Methods and apparatuses for versatile beamforming

Paul Hurley, Matthieu Martin Jean-André Simeoni, Giovanni Cherubini

The present invention is directed to methods and apparatuses for beamforming signals or compute beamformed signals. The present approach is to determine a series of beams from or for a set of devices configured for receiving signals from and/or transmittin ...

2017

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Voss Surfaces: A Design Space for Geodesic Gridshells

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Geometric ergodicity for some space-time max-stable Markov chains

Are Photonic Nanojets Achromatic?

chi-Shell, a new spatial deployable lattice compared to traditional reticulated shells

Concentration compactness for critical radial wave maps

On the diametric compression strength test of brittle spherical particles

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

When droplets deform, break up and propel microswimmers

Methods and apparatuses for versatile beamforming

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Are Photonic Nanojets Achromatic?

On the diametric compression strength test of brittle spherical particles

chi-Shell, a new spatial deployable lattice compared to traditional reticulated shells

When droplets deform, break up and propel microswimmers

Geometric ergodicity for some space-time max-stable Markov chains

Methods and apparatuses for versatile beamforming

Concentration compactness for critical radial wave maps

Voss Surfaces: A Design Space for Geodesic Gridshells

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction