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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.

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

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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