Team geometrica

Overall Objectives
Scientific Foundations
Application Domains
New Results
Contracts and Grants with Industry
Other Grants and Activities

Section: Other Grants and Activities

European initiatives


inria (teams galaad and geometrica ) participates to the IST project ACS .

– Acronym : ACS , numéro IST-006413

– Title : Algorithms for complex shapes with certified topology and numerics.

– Specific program : IST

– STREP (FET Open)

– Starting date : may 1st, 2005 - Duration : 3 years

– Participation mode of INRIA : Participant

– Other participants : Rijksuniversiteit Groningen, Eidgenössische Technische Hochschule Zürich, Freie Universität Berlin, Institut National de Recherche en Informatique et Automatique, Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V., National Kapodistrian University of Athens, Tel Aviv University, GeometryFactory Sarl

The ACS project aims at advancing the state of the art in computing with complex shapes. Current technolgy can cope well with curves in the plane and smooth surfaces in three-dimensional space. We want to address a larger class of shapes, including piecewise smooth surfaces, surfaces with singularities, as well as manifolds of codimension larger than one in moderately high dimension.

Increasingly demanding applications require efficient and robust algorithms for complex shapes. Topics that arise and that we address are shape approximation (including meshing and simplification), shape learning (including reconstruction and feature extraction), as well as robust modeling (including boolean operations). Our work on these topics will be closely intertwined with basic research on shape representations.

A unique and ambitious feature of our approach is the guaranteed quality of all data structures and algorithms we plan to develop. Through certified topology and numerics, we will be able to prove that the output is topologically and numerically consistent, according to prespecified criteria. A software prototype, dealing with a restricted class of complex shapes, will demonstrate the feasibility of our techniques in practice.

The web site of the project includes a detailled description of the objectives and all results .

Network of Excellence aim@shape

inria is part of the Network of Excellence:

– Acronym : AIM@SHAPE

– Title: Advanced and Innovative Models And Tools for the development of Semantic-based systems for Handling, Acquiring, and Processing Knowledge Embedded in multidimensional digital objects).

– Reference: 506766

– Start Date: 2004-01-01

– Duration: 48 months

– Contract Type: Network of Excellence

– Action Line: Semantic-based knowledge systems

– Project Funding: 5.74 Million Euros.

– Other participants :

– IMATI, Genova, Italy.

– University of Genova, Italy.

– EPFL, Lausanne, Switzerland.

– Fraunhofer Institute, Germany.

– INPG, France.

– Center for Research and Technology, Greece.

– University of Geneva, Switzerland.

– SINTEF, Norway.

– TECHNION, Israel.

– Weizmann Institute, Israel.

– Utrecht University, Netherlands.

The mission of AIM@SHAPE is to advance research in the direction of semantic-based shape representations and semantic-oriented tools to acquire, build, transmit, and process shapes with their associated knowledge. We foresee a generation of shapes in which knowledge is explicitly represented and, therefore, can be retrieved, processed, shared, and exploited to construct new knowledge. The attainment of a new vision of shape knowledge is achieved by: the formalisation of shape knowledge and the definition of shape ontologies in specific contexts; the definition of shape behaviours which formalise the interoperability between shapes; the delineation of methods for knowledge-based design of shapes and the definition of tools for semantics-dependent mapping of shapes. The web site of the network includes a detailled description of the objectives and some results .


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