Publications associées à Polygone

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Alfio Quarteroni, Francesca Bonizzoni

This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of a-synuclein in Parkinson's disease. We introduce and analyse a discontinuous Galerkin method for the sem ...

Lausanne2023

Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei, Juan Cao

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

Valentin Hartmann

We consider the problem of finding an optimal transport plan between an absolutely continuous measure and a finitely supported measure of the same total mass when the transport cost is the unsquared Euclidean distance. We may think of this problem as close ...

SPRINGER HEIDELBERG2020

Particle-Based Numerical Manifold Method to Model Dynamic Fracture Process in Rock Blasting

Jian Zhao, Qianbing Zhang, Xing Li

A particle-based numerical manifold method (PNMM) is developed to investigate rock fracturing behavior under dynamic loading. The basic idea of PNMM is to represent the microstructure of rock with a group of particles and to simulate the macroscopic behavi ...

Asce-Amer Soc Civil Engineers2017

Superpixels and Polygons using Simple Non-Iterative Clustering

Sabine Süsstrunk, Radhakrishna Achanta

We present an improved version of the Simple Linear Iterative Clustering (SLIC) superpixel segmentation. Unlike SLIC, our algorithm is non-iterative, enforces connectivity from the start, requires lesser memory, and is faster. Relying on the superpixel bou ...

Ieee2017

Smooth Shapes with Spherical Topology: Beyond Traditional Modeling, Efficient Deformation, and Interaction

Michaël Unser, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter

Existing shape models with spherical topology are typically designed either in the discrete domain using interpolating polygon meshes or in the continuous domain using smooth but non-interpolating schemes such as subdivision or NURBS. Both polygon models a ...

2017

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

Michaël Unser, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter

ACM2016

From Compact Semi-Toric Systems To Hamiltonian S-1-Spaces

Silvia Sabatini

We show how any labeled convex polygon associated to a compact semi-toric system, as de fined by V (u) over tilde Ngoc, determines Karshon's labeled directed graph which classifies the underlying Hamiltonian S-1-space up to isomorphism. Then we characteriz ...

Amer Inst Mathematical Sciences2015

Real-time landing place assessment in man-made environments

Pascal Fua, Vincent Lepetit, Christos Marios Christoudias, Xiaolu Sun

We propose a novel approach to the real-time landing site detection and assessment in unconstrained man-made environments using passive sensors. Because this task must be performed in a few seconds or less, existing methods are often limited to simple loca ...

Springer Verlag2014

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Polygone

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Quadratic serendipity element shape functions on general planar polygons

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

Particle-Based Numerical Manifold Method to Model Dynamic Fracture Process in Rock Blasting

Superpixels and Polygons using Simple Non-Iterative Clustering

Smooth Shapes with Spherical Topology: Beyond Traditional Modeling, Efficient Deformation, and Interaction

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

From Compact Semi-Toric Systems To Hamiltonian S-1-Spaces

Real-time landing place assessment in man-made environments

Opaque Sets

Graph Chatbot

Chattez avec Graph Search

Quadratic serendipity element shape functions on general planar polygons

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

Smooth Shapes with Spherical Topology: Beyond Traditional Modeling, Efficient Deformation, and Interaction

Real-time landing place assessment in man-made environments

Particle-Based Numerical Manifold Method to Model Dynamic Fracture Process in Rock Blasting

Superpixels and Polygons using Simple Non-Iterative Clustering

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

From Compact Semi-Toric Systems To Hamiltonian S-1-Spaces

Opaque Sets