A controllability approach to shape identification
| dc.contributor.author | Azencott, R. | |
| dc.contributor.author | Glowinski, R. | |
| dc.contributor.author | Ramos Del Olmo, Ángel Manuel | |
| dc.date.accessioned | 2023-06-20T09:44:41Z | |
| dc.date.available | 2023-06-20T09:44:41Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | The main goal of this work is to discuss a controllability approach to the image matching/shape identification problem, an important issue in many applications, medical ones in particular. The matching problem is formulated as an approximate controllability problem involving a cost functional whose gradient is computed using an adjoint equation based methodology. The time discrete version of the image matching problem is also discussed in this work. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Dirección General de Universidades e Investigación de la Conserjería de Educación de la Comunidad de Madrid | |
| dc.description.sponsorship | Universidad Complutense de Madrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17706 | |
| dc.identifier.doi | 10.1016/j.aml.2007.08.013 | |
| dc.identifier.issn | 0893-9659 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0893965907002807 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50287 | |
| dc.issue.number | 8 | |
| dc.journal.title | Applied Mathematics Letters | |
| dc.language.iso | eng | |
| dc.page.final | 865 | |
| dc.page.initial | 861 | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.relation.projectID | CCG06-UCM/ESP-1110 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.16 | |
| dc.subject.keyword | Shape identification | |
| dc.subject.keyword | Image matching | |
| dc.subject.keyword | Group of diffeomorphisms | |
| dc.subject.keyword | Controllability | |
| dc.subject.keyword | Adjoint equation | |
| dc.subject.keyword | Time discrete controllability | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | A controllability approach to shape identification | |
| dc.type | journal article | |
| dc.volume.number | 21 | |
| dcterms.references | P. Dupuis, U. Grenander, M. Miller, Variational problems on flows of diffeomorphisms for image matching, Quart. Appl.Math. 56 (3) (1998) 587–600. J. Glaunes, A. Trouve, L. Younes, Diffeomorphic matching of distributions: A new approach for unlabelled point-sets and sub-manifolds matching, in: IEEE Conference on Computer Vision and Pattern Recognition, CVPR, Washingtion, D.C.,2004. M.I. Miller, A. Trouve, L. Younes, Computing large deformations via geodesic flows of diffeomorphisms, Int. J. Comput. Vis. 61 (2) (2005)139–157. A. Trouve, Diffeomorphisms groups and pattern matching in image analysis, Int. J. Comput. Vis. 28 (3) (1998) 213–221. V.I. Arnold, Groupes de Lie de dimension infinie et hydrodynamique des fluides, Ann. Inst. Fourier (Grenoble) 1 (1966) 319–361. R. Glowinski, J.L. Lions, Exact and approximate controllability for distributed parameter systems, Part I, Acta Numer. (1994) 269–378; Part II, Acta Numer. (1995) 159–333. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 581c3cdf-f1ce-41e0-ac1e-c32b110407b1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 581c3cdf-f1ce-41e0-ac1e-c32b110407b1 |
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