Objective
"3D geometric objects play a central role in many industrial processes (modeling, scientific visualisation, numerical simulation). However, since the raw output of acquisition mechanisms cannot be used directly in these processes, converting a real object into its numerical counterpart still involves a great deal of user intervention. Geometry Processing is a recently emerged, highly competitive scientific domain that studies this type of problems. The author of this proposal contributed to this domain at its origin, and developped several parameterization algorithms, that construct a ""geometric coordinate system"" attached to the object. This facilitates converting from one representation to another. For instance, it is possible to convert a mesh model into a piecewise bi-cubic surface (much easier to manipulate in Computer Aided Design packages). In a certain sense, this retreives an ""equation"" of the geometry. One can also say that this constructs an *abstraction* of the geometry. Once the geometry is abstracted, re-instancing it into alternative representations is made easier. In this project, we propose to attack the problem from a new angle, and climb one more level of abstraction. In more general terms, a geometric coordinates system corresponds to a *function basis*. Thus, we consider the more general problem of constructing a *dynamic function basis* attached to the object. This abstract forms makes the meaningful parameters appear, and provides the user with new ""knobs"" to interact with the geometry. The formalism that we use combines aspects from finite element modeling, differential geometry, spectral geometry, topology and numerical optimization. We plan to develop applications for processing and optimimizing the representation of both static 3D objets, animated 3D objets, images and videos."
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics topology
- natural sciences mathematics pure mathematics geometry
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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.
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.
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.
ERC-2007-StG
See other projects for this call
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.
Host institution
78153 Le Chesnay Cedex
France
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.