Concept

Centroidal Voronoi tessellation

Related publications (34)

Pedestrian-oriented Flow Characterization

Definitions of flow indicators are derived by adapting Edie's definitions through a stream-based approach and a data-driven spatio-temporal discretization framework. The stream-based approach accounts for the multidirectional nature of pedestrian flows. Th ...

2014

Probabilistic speed-density relationship for pedestrians based on data driven space and time representation

Michel Bierlaire, Bilal Farooq, Marija Nikolic

This paper proposes a mathematical framework that provides the detailed characterization of the pedestrian flow. It is specifically designed to address the heterogeneity of pedestrian population which is to be reflected through the pedestrian flow indicato ...

2014

On the influence of transgranular and intergranular failure mechanisms during dynamic loading of silicon nitride

Jean-François Molinari

Plane-strain tensile loading numerical simulations of dynamic crack propagation in silicon nitride microstructures are conducted. The strength and toughness are evaluated as a function of strain rate and microstructural parameters, including grain size and ...

Elsevier2014

An Algorithm to Improve Parameterizations of Rational Bézier Surfaces Using Rational Bilinear Reparameterization

Bailin Deng, Wei Zeng

The parameterization of rational Bézier surfaces greatly affects rendering and tessellation results. The uniformity and orthogonality of iso-parametric curves are two key properties of the optimal parameterization. The only rational Bézier surfaces with un ...

2013

A 3D coupled hydro-mechanical granular model for the prediction of hot tearing formation

Michel Rappaz, Jean-Marie Drezet, André Phillion, Meisam Sistaninia

A new 3D coupled hydro-mechanical granular model that simulates hot tearing formation in metallic alloys is presented. The hydro-mechanical model consists of four separate 3D modules. (I) The Solidification Module (SM) is used for generating the initial so ...

Iop Publishing Ltd2012

3D finite element model of semi-solid permeability in an equiaxed granular structure

Roland Logé

A multi-domain finite element formulation has been applied to determine the semi-solid permeability of an equiaxed granular structure. The granular model was constructed from a Voronoï tessellation algorithm. The liquid-solid interface is represented impli ...

2010

A 3D Granular Model Of Equiaxed-Granular Solidification

Michel Rappaz, Jean-Luc Desbiolles, André Phillion

The solidification of an aluminum-copper alloy has been simulated in 3D using a granular model. Compared to previous similar 2D approaches for where only one phase is continuous, the extension to 3D allows for concurrent continuity of the solid and liquid ...

Minerals, Metals & Materials Soc, 184 Thorn Hill Rd, Warrendale, Pa 15086-7514 Usa2009

Granular Thermodynamics

Pedro Miguel Nunes Pereira de Almeida Reis

We present experimental evidence for a strong analogy between quasi‐2D uniform non‐equilibrium steady states (NESS) of excited granular materials and equilibrium thermodynamics. Under isochoric conditions we find that the structure of granular NESS, as mea ...

AIP2009

A mesoscale granular model for the mechanical behavior of alloys during solidification

Michel Rappaz, Stéphane Vernède, Jonathan Dantzig

We present a two-dimensional granular model for the mechanical behavior of an ensemble of globular grains during solidification. The grain structure is produced by a Voronoi tessellation based on an array of predefined nuclei. We consider the fluid flow ca ...

Elsevier2009

Multiple description image coding with redundant expansions and optimal quantization

Pascal Frossard, Ivana Radulovic

This paper addresses the problem of optimal rate allocation for multiple description coding with redundant signal expansions. In case of redundant descriptions, the quantization of the transform coefficients has clearly to be adapted to the importance of t ...

2007

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