Antipodally invariant metrics for fast regression-based super-resolution
Dictionary-based super-resolution (SR) algorithms usually select dictionary atoms based on the distance or similarity metrics. Although the optimal selection of the nearest neighbors is of central importance for such methods, the impact of using proper metrics for SR has been overlooked in literatur...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/89049 |
| Acceso en línea: | https://hdl.handle.net/2117/89049 https://dx.doi.org/10.1109/TIP.2016.2549362 |
| Access Level: | acceso abierto |
| Palabra clave: | Image processing -- Digital techniques Antipodes Regression Spherical Hashing Super-Resolution Super-resolution Spherical hashing Imatges -- Processament -- Tècniques digitals Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la imatge i del senyal vídeo |
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Antipodally invariant metrics for fast regression-based super-resolutionPérez-Pellitero, EduardoSalvador, JordiRuiz Hidalgo, Javier|||0000-0001-6774-685XRosenhahn, BodoImage processing -- Digital techniquesAntipodesRegressionSpherical HashingSuper-ResolutionSuper-resolutionAntipodesRegressionSpherical hashingImatges -- Processament -- Tècniques digitalsÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la imatge i del senyal vídeoDictionary-based super-resolution (SR) algorithms usually select dictionary atoms based on the distance or similarity metrics. Although the optimal selection of the nearest neighbors is of central importance for such methods, the impact of using proper metrics for SR has been overlooked in literature, mainly due to the vast usage of Euclidean distance. In this paper, we present a very fast regression-based algorithm, which builds on the densely populated anchored neighborhoods and sublinear search structures. We perform a study of the nature of the features commonly used for SR, observing that those features usually lie in the unitary hypersphere, where every point has a diametrically opposite one, i.e., its antipode, with same module and angle, but the opposite direction. Even though, we validate the benefits of using antipodally invariant metrics, most of the binary splits use Euclidean distance, which does not handle antipodes optimally. In order to benefit from both the worlds, we propose a simple yet effective antipodally invariant transform that can be easily included in the Euclidean distance calculation. We modify the original spherical hashing algorithm with this metric in our antipodally invariant spherical hashing scheme, obtaining the same performance as a pure antipodally invariant metric. We round up our contributions with a novel feature transform that obtains a better coarse approximation of the input image thanks to iterative backprojection. The performance of our method, which we named antipodally invariant SR, improves quality (Peak Signal to Noise Ratio) and it is faster than any other state-of-the-art method.Peer Reviewed20162016-03-3120162016-07-21journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/89049https://dx.doi.org/10.1109/TIP.2016.2549362reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/890492026-05-27T15:37:01Z |
| dc.title.none.fl_str_mv |
Antipodally invariant metrics for fast regression-based super-resolution |
| title |
Antipodally invariant metrics for fast regression-based super-resolution |
| spellingShingle |
Antipodally invariant metrics for fast regression-based super-resolution Pérez-Pellitero, Eduardo Image processing -- Digital techniques Antipodes Regression Spherical Hashing Super-Resolution Super-resolution Antipodes Regression Spherical hashing Imatges -- Processament -- Tècniques digitals Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la imatge i del senyal vídeo |
| title_short |
Antipodally invariant metrics for fast regression-based super-resolution |
| title_full |
Antipodally invariant metrics for fast regression-based super-resolution |
| title_fullStr |
Antipodally invariant metrics for fast regression-based super-resolution |
| title_full_unstemmed |
Antipodally invariant metrics for fast regression-based super-resolution |
| title_sort |
Antipodally invariant metrics for fast regression-based super-resolution |
| dc.creator.none.fl_str_mv |
Pérez-Pellitero, Eduardo Salvador, Jordi Ruiz Hidalgo, Javier|||0000-0001-6774-685X Rosenhahn, Bodo |
| author |
Pérez-Pellitero, Eduardo |
| author_facet |
Pérez-Pellitero, Eduardo Salvador, Jordi Ruiz Hidalgo, Javier|||0000-0001-6774-685X Rosenhahn, Bodo |
| author_role |
author |
| author2 |
Salvador, Jordi Ruiz Hidalgo, Javier|||0000-0001-6774-685X Rosenhahn, Bodo |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Image processing -- Digital techniques Antipodes Regression Spherical Hashing Super-Resolution Super-resolution Antipodes Regression Spherical hashing Imatges -- Processament -- Tècniques digitals Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la imatge i del senyal vídeo |
| topic |
Image processing -- Digital techniques Antipodes Regression Spherical Hashing Super-Resolution Super-resolution Antipodes Regression Spherical hashing Imatges -- Processament -- Tècniques digitals Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la imatge i del senyal vídeo |
| description |
Dictionary-based super-resolution (SR) algorithms usually select dictionary atoms based on the distance or similarity metrics. Although the optimal selection of the nearest neighbors is of central importance for such methods, the impact of using proper metrics for SR has been overlooked in literature, mainly due to the vast usage of Euclidean distance. In this paper, we present a very fast regression-based algorithm, which builds on the densely populated anchored neighborhoods and sublinear search structures. We perform a study of the nature of the features commonly used for SR, observing that those features usually lie in the unitary hypersphere, where every point has a diametrically opposite one, i.e., its antipode, with same module and angle, but the opposite direction. Even though, we validate the benefits of using antipodally invariant metrics, most of the binary splits use Euclidean distance, which does not handle antipodes optimally. In order to benefit from both the worlds, we propose a simple yet effective antipodally invariant transform that can be easily included in the Euclidean distance calculation. We modify the original spherical hashing algorithm with this metric in our antipodally invariant spherical hashing scheme, obtaining the same performance as a pure antipodally invariant metric. We round up our contributions with a novel feature transform that obtains a better coarse approximation of the input image thanks to iterative backprojection. The performance of our method, which we named antipodally invariant SR, improves quality (Peak Signal to Noise Ratio) and it is faster than any other state-of-the-art method. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016 2016-03-31 2016 2016-07-21 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 AM http://purl.org/coar/version/c_ab4af688f83e57aa |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2117/89049 https://dx.doi.org/10.1109/TIP.2016.2549362 |
| url |
https://hdl.handle.net/2117/89049 https://dx.doi.org/10.1109/TIP.2016.2549362 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
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reponame:UPCommons. Portal del coneixement obert de la UPC instname:Universitat Politècnica de Catalunya (UPC) |
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Universitat Politècnica de Catalunya (UPC) |
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UPCommons. Portal del coneixement obert de la UPC |
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UPCommons. Portal del coneixement obert de la UPC |
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