Objectif Geometric data is now ubiquitous. Such 3D content is either acquired using LiDAR scans, MRI scans, etc., or created using 3D modelers, or obtained as output of simulation processes. The data, however, come in low-level representations (e.g. points, polygons, voxel grids) and begets little understanding of the underlying objects or processes. This is unfortunate since such data have significant redundancies as they often measure related entities (e.g. humans in different poses, same room across multiple configurations, or chairs having different styles). While the data can potentially reveal significant self-similarities among objects and correlations across related objects, we are missing critically-needed tools for such analysis.Hence, I propose to develop mathematical frameworks and computational tools to extract, represent, manipulate, and utilize relations among 3D model collections. Essentially, I propose to factorize model collections into consistent structures (i.e. relations among parts in and across multiple objects) and low-dimensional variations, with local geometric details playing a subordinate role. Jointly analyzing model collections can further reveal relationshipsbetween form and their functions (e.g. chairs typically will have consistent back-seat relations, even if at the level of vertices the underlying models can be very different). This requires solving two coupled problems:(i) jointly analyzing large model collections to decouple consistent structure from dominant modes of variations, and (ii) using the information towards next generation form-finding possibilities.The grand goal is to lay the foundations of structure-aware geometry processing where computationally extracted geometric relations and constraints are automatically conformed to with potentially far-reaching implications in a range of disciplines like science, engineering, medicine, and product design. Champ scientifique natural sciencesmathematicspure mathematicsgeometry Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) ERC-SG-PE6 - ERC Starting Grant - Computer science and informatics Appel à propositions ERC-2013-StG Voir d’autres projets de cet appel Régime de financement ERC-SG - ERC Starting Grant Institution d’accueil UNIVERSITY COLLEGE LONDON Contribution de l’UE € 1 499 130,00 Adresse GOWER STREET WC1E 6BT LONDON Voir sur la carte Type d’activité Higher or Secondary Education Establishments Contact administratif Giles Machell (Mr.) Chercheur principal Niloy Jyoti Mitra (Dr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée Bénéficiaires (1) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire UNIVERSITY COLLEGE LONDON Contribution de l’UE € 1 499 130,00 Adresse GOWER STREET WC1E 6BT LONDON Voir sur la carte Type d’activité Higher or Secondary Education Establishments Contact administratif Giles Machell (Mr.) Chercheur principal Niloy Jyoti Mitra (Dr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée