Publications related to Sphere

Improved calibration of vertical scanning optical profilometers for spherical profiles measurements

Toralf Scharf, Wilfried Noell, Jeremy Béguelin

A new method for calibrating optical scanning profilometers is presented. Especially adapted to spherical and aspherical profile measurements, it shows an increase of accuracy bigger than one order of magnitude for radius of curvature measurements. Calibra ...

2018

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Pascal Frossard, Francesca De Simone, Thomas Maugey, Mira Rizkallah

Omnidirectional images are spherical signals captured by cameras with 360-degree field of view. In order to be compressed using existing encoders, these signals are mapped to planar domain. A commonly used planar representation is the equirectangular one, ...

IEEE COMPUTER SOC2018

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

Rayleigh-Taylor instability under a spherical substrate

François Gallaire, Gioele Mariano Nicolò Balestra, David Minh-Phuc Nguyen

We investigate the Rayleigh-Taylor instability of a thin viscous film coating the inside of a spherical substrate. The aim of this work is to find and characterize the instability pattern in this spherical geometry. In contrast to the Rayleigh-Taylor insta ...

2018

Heat flows on hyperbolic spaces

Marius Christopher Lemm

In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere Sn−1,n≥3, can be extended to the n-dimensional hyperbolic space such that the heat f ...

2018

On Establishing Buckling Knockdowns for Imperfection-Sensitive Shell Structures

Emmanuel Georges Albert Virot

This paper investigates issues that have arisen in recent efforts to revise long-standing knockdown factors for elastic shell buckling, which are widely regarded as being overly conservative for well-constructed shells. In particular, this paper focuses on ...

ASME2018

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

Robustness via curvature regularization, and vice versa

Pascal Frossard, Seyed Mohsen Moosavi Dezfooli, Alhussein Fawzi

State-of-the-art classifiers have been shown to be largely vulnerable to adversarial perturbations. One of the most effective strategies to improve robustness is adversarial training. In this paper, we investigate the effect of adversarial training on the ...

2018

Universal expression for the drag on a fluid sphere

David Andrew Barry

An expression was developed for prediction of drag coefficients for any spherical particle, drop or bubble in an infinite, homogeneous liquid. The formula reproduces the limiting cases for gas bubbles and solid spheres, as well as the exact Hadamard-Rybczy ...

2018

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Improved calibration of vertical scanning optical profilometers for spherical profiles measurements

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Concentration compactness for critical radial wave maps

On the diametric compression strength test of brittle spherical particles

Rayleigh-Taylor instability under a spherical substrate

Heat flows on hyperbolic spaces

On Establishing Buckling Knockdowns for Imperfection-Sensitive Shell Structures

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

Robustness via curvature regularization, and vice versa

Universal expression for the drag on a fluid sphere

Heat flows on hyperbolic spaces

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

Improved calibration of vertical scanning optical profilometers for spherical profiles measurements

Rate Distortion Optimized Graph Partitioning for Omnidirectional Image Coding

Robustness via curvature regularization, and vice versa

Rayleigh-Taylor instability under a spherical substrate

Universal expression for the drag on a fluid sphere

On Establishing Buckling Knockdowns for Imperfection-Sensitive Shell Structures

Concentration compactness for critical radial wave maps

On the diametric compression strength test of brittle spherical particles