Line geometry and camera autocalibration

Ronda Prieto, José Ignacio and Valdés Morales, Antonio and Gallego Bonet, Guillermo (2008). Line geometry and camera autocalibration. "Journal Of Mathematical Imaging And Vision", v. 32 (n. 2); pp. 193-214. ISSN 0924-9907.


Title: Line geometry and camera autocalibration
  • Ronda Prieto, José Ignacio
  • Valdés Morales, Antonio
  • Gallego Bonet, Guillermo
Item Type: Article
Título de Revista/Publicación: Journal Of Mathematical Imaging And Vision
Date: October 2008
ISSN: 0924-9907
Volume: 32
Freetext Keywords: Camera autocalibration, varying parameters, absolute quadratic complex
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Señales, Sistemas y Radiocomunicaciones
UPM's Research Group: Tratamiento de Imágenes GTI
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview


We provide a completely new rigorous matrix formulation of the absolute quadratic complex (AQC), given by the set of lines intersecting the absolute conic. The new results include closed-form expressions for the camera intrinsic parameters in terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix operations, and an equally direct computation of a Euclidean-upgrading homography from the AQC. We also completely characterize the 6×6 matrices acting on lines which are induced by a spatial homography. Several algorithmic possibilities arising from the AQC are systematically explored and analyzed in terms of efficiency and computational cost. Experiments include 3D reconstruction from real images.

More information

Item ID: 2350
DC Identifier:
OAI Identifier:
DOI: 10.1007/s10851-008-0095-0
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 17 May 2010 09:38
Last Modified: 17 Jan 2017 08:07
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM