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GLnQuadRemeshing SIGNED

Re-meshing of a given triangle mesh surface to a quad mesh using physically motivated methods based on the Ginzburg--Landau potential and solved efficiently solved via numerical splitting scheme

Total Cost €

0

EC-Contrib. €

0

Partnership

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 GLnQuadRemeshing project word cloud

Explore the words cloud of the GLnQuadRemeshing project. It provides you a very rough idea of what is the project "GLnQuadRemeshing" about.

discrete    motivating    tackle    faces    class    pde    representing    view    thresholding    theory    science    beneficial    scalable    vast    computational    objects    limited    domains    minimizers    action    literature    arrive    dimensional    data    re    describe    ubiquitous    extensive    energy    architectural    splitting    meshing    cover    ginzburg    offers    triangle    parametrization    cross    ing    methodology    landau    extends    extensions    geometries    functional    integer    energies    engineering    bridge    efficient    computer    solvers    numerical    vertices    exhibits    unlike    image    generalized    heuristic    formulated    connected    body    meshes    devise    quad    geometric    point    geometry    mixed    machinery    algorithms    gl    schemes    gap    heat    aided    somewhat    fundamentally    convex    mesh    instead    classification    edges    multiclass    physics    scientific    surfaces    vector    curved    unfortunately    fabrication    suggest    functionals   

Project "GLnQuadRemeshing" data sheet

The following table provides information about the project.

Coordinator
TECHNION RESEARCH AND DEVELOPMENT FOUNDATION LTD 

Organization address
address: THE SENATE BUILDING TECHNION CITY 1
city: HAIFA
postcode: 32000
website: n.a.

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 263˙385 €
 EC max contribution 263˙385 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2017
 Funding Scheme MSCA-IF-GF
 Starting year 2018
 Duration (year-month-day) from 2018-10-01   to  2021-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    TECHNION RESEARCH AND DEVELOPMENT FOUNDATION LTD IL (HAIFA) coordinator 263˙385.00
2    THE REGENTS OF THE UNIVERSITY OF CALIFORNIA US (OAKLAND CA) partner 0.00

Map

 Project objective

Geometric curved objects are ubiquitous in numerous computational science and engineering problems. Representing curved domains in a computer is typically achieved using triangle mesh surfaces. However, it is often beneficial to use quad meshes instead. Namely, discrete surfaces that are composed of quad faces, connected via edges and vertices. Unfortunately, existing re-meshing methods of triangle surfaces are somewhat limited and non-robust, motivating the following research. In this action we describe a new class of algorithms for quad re-meshing of curved domains using PDE-based approaches. Our algorithms use the Ginzburg--Landau (GL) functional and its multiclass extensions to devise novel energy functionals which, unlike previous work, are fundamentally supported by the extensive literature in physics and image processing on the theory, analysis and processing of GL. In practice, convex-splitting or heat and thresholding numerical schemes allow us to quickly find minimizers of the proposed energies. Our approach is novel in that it extends a recent body of work on multiclass classification of high-dimensional data to the problem of quad re-meshing which is typically formulated as a mixed-integer problem, and thus it exhibits heuristic solvers. A common methodology for quad re-meshing includes the design of a generalized vector field (i.e., a cross field) and mesh parametrization. Our research objectives cover both of these tasks and suggest novel methods to tackle them. Overall, the proposed research offers a new point of view for this long-standing problems, and with the vast related work in other domains, it may bridge the gap to arrive at effective, scalable and efficient quad re-meshing machinery of general geometries. The resulting algorithms may be used in several scientific and engineering domains such as architectural geometry, fabrication of curved objects and computer aided design systems, among other applications.

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The information about "GLNQUADREMESHING" are provided by the European Opendata Portal: CORDIS opendata.

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