Image reduction using means on discrete product lattices
| dc.contributor.author | Beliakov, Gleb | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Paternain Dallo, Daniel | |
| dc.contributor.department | Automática y Computación | es_ES |
| dc.contributor.department | Automatika eta Konputazioa | eu |
| dc.date.accessioned | 2016-07-26T16:07:33Z | |
| dc.date.available | 2016-07-26T16:07:33Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | We investigate the problem of averaging values on lattices, and in particular on discrete product lattices. This problem arises in image processing when several color values given in RGB, HSL, or another coding scheme, need to be combined. We show how the arithmetic mean and the median can be constructed by minimizing appropriate penalties, and we discuss which of them coincide with the Cartesian product of the standard mean and median. We apply these functions in image processing. We present three algorithms for color image reduction based on minimizing penalty functions on discrete product lattices. | en |
| dc.description.sponsorship | This work has been partially supported by research grant TIN2010-15055 from the Government of Spain. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | G. Beliakov, H. Bustince and D. Paternain, "Image Reduction Using Means on Discrete Product Lattices," in IEEE Transactions on Image Processing, vol. 21, no. 3, pp. 1070-1083, March 2012. doi: 10.1109/TIP.2011.2168412 | en |
| dc.identifier.doi | 10.1109/TIP.2011.2168412 | |
| dc.identifier.issn | 1057-7149 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/21088 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Image Processing, vol. 21, n. 3, March 2012 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//TIN2010-15055/ES/ | |
| dc.relation.publisherversion | https://dx.doi.org/10.1109/TIP.2011.2168412 | |
| dc.rights | © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Aggregation operators | en |
| dc.subject | Penalty functions | en |
| dc.subject | Image reduction | en |
| dc.subject | Mean | en |
| dc.subject | Median | en |
| dc.title | Image reduction using means on discrete product lattices | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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