Publications associées à Variété pseudo-riemannienne

Chattez avec Graph Search

Posez n’importe quelle question sur les cours, conférences, exercices, recherches, actualités, etc. de l’EPFL ou essayez les exemples de questions ci-dessous.

AVERTISSEMENT : Le chatbot Graph n'est pas programmé pour fournir des réponses explicites ou catégoriques à vos questions. Il transforme plutôt vos questions en demandes API qui sont distribuées aux différents services informatiques officiellement administrés par l'EPFL. Son but est uniquement de collecter et de recommander des références pertinentes à des contenus que vous pouvez explorer pour vous aider à répondre à vos questions.

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Martins Bruveris, Martin Bauer

This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism group and the space of Riemannian metrics. We discuss the Riemannian metrics th ...

Springer Verlag2014

Harmonic Active Contours

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso, Virginia Estellers Casas

We propose a segmentation method based on the geometric representation of images as two-dimensional manifolds embedded in a higher dimensional space. The segmentation is formulated as a minimization problem, where the contours are described by a level set ...

Institute of Electrical and Electronics Engineers2014

Total Variation Regularization for Manifold-Valued Data

Martin Kurt Storath

We consider total variation (TV) minimization for manifold-valued data. We propose a cyclic proximal point algorithm and a parallel proximal point algorithm to minimize TV functionals with l(p) -type data terms in the manifold case. These algorithms are ba ...

Siam Publications2014

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

Principal Polynomial Analysis

Devis Tuia

This paper presents a new framework for manifold learning based on a sequence of principal polynomials that capture the possibly nonlinear nature of the data. The proposed Principal Polynomial Analysis (PPA) generalizes PCA by modeling the directions of ma ...

World Scientific Publ Co Pte Ltd2014

Tangent-based manifold approximation with locally linear models

Pascal Frossard, Sofia Karygianni

In this paper, we consider the problem of manifold approximation with affine subspaces. Our objective is to discover a set of low dimensional affine subspaces that represent manifold data accurately while preserving the manifold's structure. For this purpo ...

Elsevier2014

Electrostatics of solvated systems in periodic boundary conditions

Nicola Marzari, Oliviero Andreussi

Continuum solvation methods can provide an accurate and inexpensive embedding of quantum simulations in liquid or complex dielectric environments. Notwithstanding a long history and manifold applications to isolated systems in open boundary conditions, the ...

Amer Physical Soc2014

Symmetry Reduction Of Brownian Motion And Quantum Calogero-Moser Models

Simon Hochgerner

Let Q be a Riemannian G-manifold. This paper is concerned with the symmetry reduction of Brownian motion in Q and ramifications thereof in a Hamiltonian context. Specializing to the case of polar actions, we discuss various versions of the stochastic Hamil ...

World Scientific Publ Co Pte Ltd2013

Variété pseudo-riemannienne

Graph Chatbot

Chattez avec Graph Search

The connectivity at infinity of a manifold and Sobolev inequalities

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Harmonic Active Contours

Total Variation Regularization for Manifold-Valued Data

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Principal Polynomial Analysis

Tangent-based manifold approximation with locally linear models

Electrostatics of solvated systems in periodic boundary conditions

Symmetry Reduction Of Brownian Motion And Quantum Calogero-Moser Models

Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields

Symmetry Reduction Of Brownian Motion And Quantum Calogero-Moser Models

Principal Polynomial Analysis

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Tangent-based manifold approximation with locally linear models

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Electrostatics of solvated systems in periodic boundary conditions

Total Variation Regularization for Manifold-Valued Data

Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields

The connectivity at infinity of a manifold and Sobolev inequalities

Harmonic Active Contours