Design of zero reference codes by means of a global optimization method
dc.contributor.author | Saez Landete, José | |
dc.contributor.author | Alonso Fernández, José | |
dc.contributor.author | Bernabeu Martínez, Eusebio | |
dc.date.accessioned | 2023-06-20T10:46:33Z | |
dc.date.available | 2023-06-20T10:46:33Z | |
dc.date.issued | 2005-01-10 | |
dc.description | © 2005 Optical Society of America. This research was supported by the national research program, Project No. DPI2001-1238. | |
dc.description.abstract | The grating measurement systems can be used for displacement and angle measurements. They require of zero reference codes to obtain zero reference signals and absolute measures. The zero reference signals are obtained from the autocorrelation of two identical zero reference codes. The design of codes which generate optimum signals is rather complex, especially for larges codes. In this paper we present a global optimization method, a DIRECT algorithm for the design of zero reference codes. This method proves to be a powerful tool for solving this inverse problem. | |
dc.description.department | Depto. de Óptica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Educación y Ciencia (MEC), España | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/26740 | |
dc.identifier.doi | 10.1364/OPEX.13.000195 | |
dc.identifier.issn | 1094-4087 | |
dc.identifier.officialurl | http://dx.doi.org/10.1364/OPEX.13.000195 | |
dc.identifier.relatedurl | http://www.opticsinfobase.org | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/51199 | |
dc.issue.number | 1 | |
dc.journal.title | Optics Express | |
dc.language.iso | eng | |
dc.page.final | 201 | |
dc.page.initial | 195 | |
dc.publisher | The Optical Society Of America | |
dc.relation.projectID | DPI2001-1238 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 535 | |
dc.subject.keyword | Accurate Alignment | |
dc.subject.keyword | Bar Codes | |
dc.subject.keyword | Systems | |
dc.subject.ucm | Óptica (Física) | |
dc.subject.unesco | 2209.19 Óptica Física | |
dc.title | Design of zero reference codes by means of a global optimization method | |
dc.type | journal article | |
dc.volume.number | 13 | |
dcterms.references | 1. Li Yajun, “Autocorrelation function of a bar code system” J. Mod. Opt.34, 1571-5 (1987). 2. Xiangyang Yang and Chunyong Yin, “A new method for the design of zero reference marks for grating measurement systems” J. Phys. E Sci. Instrum. 19, 34-7 (1986). 3. Li Yajun, “Optical valve using bar codes” Optik 79, 67-74 (1988). 4. Li Yajun, “Characterization and design of bar code systems for accurate alignment” Appl. Opt.27, 2612-20 (1988). 5. Li Yajun and F. T. S. Yu, “Design of bar code systems for accurate alignment: a new method” Appl. Opt. 29, 723-5 (1990). 6. D. R. Jones, C. D. Perttunen, and B. E. Stuckman. “Lipschitzian Optimization without the Lipschitz Constant” J. Optim. Theory Appl. 79, 157-181 (1993). 7. Donald R. Jones. DIRECT Global optimization algorithm . Encyclopedia of Optimization. (Kluwer Academic Publishers, Dordrecht, 2001). 8. Li Yajun, "Bar codes with special correlations like those of the Barker codes" Optics Communications 83, 15-20 (1991). 9. Bjorkman, Mattias and Holmstrom, Kenneth. “Global Optimization Using the DIRECT Algorithm in Matlab” Advanced Modeling and Optimization, 1, 17-37 (1999). 10. C. T. Kelley. Iterative Methods for Optimization. (SIAM, Portland1999). 11. Daniel E. Finkel. DIRECT Optimization Algorithm User Guide. (2003). 12. Daniel E. Finkel and C. T. Kelley. “Convergence analysis of the DIRECT algorithm” Optimization Online (2004). 13. J. M. Gablonski. DIRECT Version 2.0 User Guide. (CRSC Technical Report, Raleigh, 2001). | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | f7b5b178-742c-418d-80d3-769a169f6dd9 | |
relation.isAuthorOfPublication.latestForDiscovery | f7b5b178-742c-418d-80d3-769a169f6dd9 |
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