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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences computational science
- natural sciences mathematics pure mathematics geometry
- natural sciences computer and information sciences artificial intelligence heuristic programming
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2017
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
32000 Haifa
Israel
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.