On affine invariant descriptors related to SIFT

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• dc.contributor.author Sadek, Rida
• dc.contributor.author Constantinopoulos, Constantinos
• dc.contributor.author Meinhardt Llopis, Enric
• dc.contributor.author Ballester, Coloma
• dc.contributor.author Caselles, Vicente
• dc.date.accessioned 2021-03-12T07:15:42Z
• dc.date.available 2021-03-12T07:15:42Z
• dc.date.issued 2012
• dc.description.abstract Using a classical result on algebraic invariants of the unimodular group, we present in this paper some basic geometric affine invariant quantities, and we use them to construct some distinctive descriptors for object detection. Although full affine invariance cannot be guaranteed due to noncommutativity of camera blur with affine maps and the domain problem (that is, the difficulty of finding an affine covariant domain), the proposed descriptors behave more robustly than SIFT with respect to affine deformations. This is supported by our comparisons both with the version of SIFT computed on an affine normalized neighborhood, and with ASIFT, which solves both the previously mentioned camera blur and domain problems by cleverly sampling the orbit of affine transformations of the images.en
• dc.description.sponsorship The work of these authors was partially supported by MICINN project, reference MTM2009-08171, and by GRC, reference 2009 SGR 773, funded by the Generalitat de Catalunya. The last author’s work was also partially supported by “ICREA Acad`emia” prize for excellence in research funded by the Generalitat de Catalunya.
• dc.format.mimetype application/pdf
• dc.identifier.citation Sadek R, Constantinopoulos C, Meinhardt E, Ballester C, Caselles V. On affine invariant descriptors related to SIFT. SIAM J Imaging Sci. 2012 Jun 5;5(2):652-87. DOI: 10.1137/100798739
• dc.identifier.doi http://dx.doi.org/10.1137/100798739
• dc.identifier.issn 1936-4954
• dc.identifier.uri http://hdl.handle.net/10230/46739
• dc.language.iso eng
• dc.publisher SIAM (Society for Industrial and Applied Mathematics)
• dc.relation.ispartof SIAM Journal on Imaging Sciences. 2012 Jun 5;5(2):652-87
• dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/MTM2009-08171
• dc.rights Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. First Published in Journal on Imaging Sciences in volume 5 and number 2, year 2012, published by the Society for Industrial and Applied Mathematics (SIAM).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Image matchingen
• dc.subject.keyword Affine invarianceen
• dc.subject.keyword Image descriptorsen
• dc.subject.keyword Object recognitionen
• dc.title On affine invariant descriptors related to SIFTen
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion