Publication
Estimation of mirror shape and extrinsic parameters in axial non-central catadioptric systems
| dc.contributor.author | Perdigoto, Luis | |
| dc.contributor.author | Araujo, Helder | |
| dc.date.accessioned | 2025-07-15T14:40:17Z | |
| dc.date.available | 2025-07-15T14:40:17Z | |
| dc.date.issued | 2016-10 | |
| dc.description.abstract | We propose a method to estimate the mirror shape and position, and the extrinsic parameters in axial noncentral catadioptric systems (i.e. systems with an axial symmetrical mirror and a pinhole camera with its optical center located at the mirror axis). Our method requires one or more images of a planar calibration pattern consisting of points and lines with known position (e.g. a checkerboard), and that the camera be internally calibrated. We also present an alternative algorithm for the particular case of catadioptric systems with spherical mirror, were the estimation is achieved by fitting quartic curves to the images of lines of the calibration pattern. An analytical solution is presented for every method. Each analytical solution is then refined by a non-linear optimization procedure. We present experimental results, on simulated and real images, that demonstrate the validity of our work. | eng |
| dc.description.sponsorship | This work was supported in part by the project “Surgery and Diagnosis Assisted by Computer Using Images”, funded by the QREN Programme “Mais Centro” with financing from the European Fund for Regional Development (FEDER), under Grant SCT-2011-02-027-4824, and in part by the Portuguese Science Foundation through PIDDAC and FEDER through COMPETE Operational Programme Competitive Factors under Project FCT/PTDC/EIAEIA/122454/2010. | |
| dc.identifier.citation | Luis Perdigoto, Helder Araujo, Estimation of mirror shape and extrinsic parameters in axial non-central catadioptric systems, Image and Vision Computing, Volume 54, 2016, Pages 45-59, ISSN 0262-8856, https://doi.org/10.1016/j.imavis.2016.06.009 | |
| dc.identifier.doi | 10.1016/j.imavis.2016.06.009 | |
| dc.identifier.issn | 0262-8856 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/13655 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier BV | |
| dc.relation.hasversion | https://www.sciencedirect.com/science/article/abs/pii/S0262885616301226 | |
| dc.relation.ispartof | Image and Vision Computing | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Non-central catadioptric vision systems | |
| dc.subject | Calibration | |
| dc.subject | Mirror shape estimation | |
| dc.title | Estimation of mirror shape and extrinsic parameters in axial non-central catadioptric systems | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 59 | |
| oaire.citation.startPage | 45 | |
| oaire.citation.title | Image and Vision Computing | |
| oaire.citation.volume | 54 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Perdigoto | |
| person.givenName | Luis | |
| person.identifier.orcid | 0000-0002-2626-3154 | |
| relation.isAuthorOfPublication | 21974cb3-96e9-4071-bbd1-149f86160821 | |
| relation.isAuthorOfPublication.latestForDiscovery | 21974cb3-96e9-4071-bbd1-149f86160821 |