Conic geometry and autocalibration from two images
| dc.contributor.author | Ronda Prieto, José Ignacio | |
| dc.contributor.author | Valdés Morales, Antonio | |
| dc.date.accessioned | 2023-06-20T10:33:26Z | |
| dc.date.available | 2023-06-20T10:33:26Z | |
| dc.date.issued | 2007-06 | |
| dc.description.abstract | We show how the classical theory of projective conics provides new insights and results on the problem of 3D reconstruction from two images taken with uncalibrated cameras. The close relationship between Kruppa equations and Poncelet's Porism is investigated, leading, in particular, to a closed-form geometrically meaningful parameterization of the set of Euclidean reconstructions compatible with two images taken with cameras with constant intrinsic parameters and known pixel shape. An experiment with real images, showing the applicability of the method, is included. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20247 | |
| dc.identifier.doi | 10.1007/s10851-007-0011-z | |
| dc.identifier.issn | 0924-9907 (Print) 1573-7683 (Online) | |
| dc.identifier.officialurl | http://link.springer.com/content/pdf/10.1007%2Fs10851-007-0011-z | |
| dc.identifier.relatedurl | http://www.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50501 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Imaging and Vision | |
| dc.language.iso | eng | |
| dc.page.final | 149 | |
| dc.page.initial | 135 | |
| dc.publisher | Springer | |
| dc.relation.projectID | TIN2004-07860 (Medusa) | |
| dc.relation.projectID | S-0505/TIC-0223 (Pro-Multidis) | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 004.8 | |
| dc.subject.keyword | camera autocalibration | |
| dc.subject.keyword | conic geometry | |
| dc.subject.keyword | Kruppa configuration | |
| dc.subject.keyword | Poncelet's Porism | |
| dc.subject.ucm | Inteligencia artificial (Informática) | |
| dc.subject.ucm | Geometría | |
| dc.subject.unesco | 1203.04 Inteligencia Artificial | |
| dc.subject.unesco | 1204 Geometría | |
| dc.title | Conic geometry and autocalibration from two images | |
| dc.type | journal article | |
| dc.volume.number | 28 | |
| dcterms.references | Bougnoux, S.: From projective to Euclidean space under any practical situation, a criticism of self-calibration. In: Sixth International Conference on Computer Vision, pp. 790–796, 1998 Hartley, R.: Estimation of Relative Camera Positions for Uncalibrated Cameras. Lecture Notes In Computer Science, vol. 588. Proceedings of the Second European Conference on Computer Vision, pp. 579–587, 1992 Hartley, R., Zisserman, A.: Multiple-View Geometry in Computer Vision. Cambridge Univ. Press, Cambridge (2000) Huang, C.-R., Chen, C.-S., Chung, P.-C.: An improved algorithm for two-image camera self-calibration and Euclidean structure recovery using absolute quadric. Pattern Recognit. 37(8), 1713–1722 (2004) Liu, J.S., Chuang, J.H.: Self-calibration with varying focal length from two images obtained by a stereo head. Pattern Recognit. 35, 2937–2948 (2002) Maybank, S., Faugeras, O.: A theory of self–calibration of a moving camera. Int. J. Comput. Vis. 8(2), 123–141 (1992) Newsam, G.N., Huynh, D.Q., Brooks, M.J., Pan, H.P.: Recovering unknown focal lengths in self-calibration: an essentially linear algorithm and degenerate configurations. In: ISPRS-Congress XXXI (B3), pp. 575–580, 1996 Nister, D., Schaffalitzky, F.: What do four Points in two calibrated images tell us about the epipoles? In: Pajdla, T., Matas, J. (Eds.) ECCV 2004, LNCS 3022, pp. 41–57, Springer Ponce, J., McHenry, K., Papadopoulo, T., Teillaud, M., Triggs, B.: On the absolute quadratic complex and its application to autocalibration. In: Proc. IEEE Conference on Computer Vision and Pattern Recognition, vol. I, pp. 780–787, San Diego, CA, June 2005 Quan, L.: Conic reconstruction and correspondence from two views. IEEE Trans. Pattern Anal. Mach. Intell. 18(2), 151–160 (1996) Semple, J.G., Kneebone, G.T.: Algebraic Projective Geometry. Oxford University Press, London (1998) Sturm, P.: Focal length calibration from two views: method and analysis of singular cases. Comput. Vis. Image Underst. 99(1), 58–95 (2005) Valdés, A., Ronda, J.I., Gallego, G.: The absolute line quadric and camera autocalibration. Int. J. Comput. Vis. 66(3), 283–303(2006) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2ee189aa-d1f1-45ca-a646-7433de5952b9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2ee189aa-d1f1-45ca-a646-7433de5952b9 |
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