Skip to Main content Skip to Navigation
Conference papers

Autocalibration and the Absolute Quadric

Bill Triggs 1
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : The author describes a new method for camera autocalibration and scaled Euclidean structure and motion, from three or more views taken by a moving camera with fixed but unknown intrinsic parameters. The motion constancy of these is used to rectify an initial projective reconstruction. Euclidean scene structure is formulated in terms of the absolute quadric-the singular dual 3D quadric (4×4 rank 3 matrix) giving the Euclidean dot-product between plane normals. This is equivalent to the traditional absolute conic but simpler to use. It encodes both affine and Euclidean structure, and projects very simply to the dual absolute image conic which encodes camera calibration. Requiring the projection to be constant gives a bilinear constraint between the absolute quadric and image conic, from which both can be recovered nonlinearly from m⩾3 images, or quasi-linearly from m⩾4. Calibration and Euclidean structure follow easily. The nonlinear method is stabler, faster, more accurate and more general than the quasi-linear one. It is based on a general constrained optimization technique-sequential quadratic programming-that may well be useful in other vision problems.
Document type :
Conference papers
Complete list of metadatas

https://hal.inria.fr/inria-00548345
Contributor : Thoth Team <>
Submitted on : Monday, December 20, 2010 - 8:43:35 AM
Last modification on : Friday, June 26, 2020 - 4:04:03 PM
Long-term archiving on: : Monday, March 21, 2011 - 2:56:19 AM

Identifiers

Collections

IMAG | CNRS | INRIA | UGA

Citation

Bill Triggs. Autocalibration and the Absolute Quadric. International Conference on Computer Vision & Pattern Recognition (CVPR '97), Jun 1997, San Juan, Puerto Rico. pp.609--614, ⟨10.1109/CVPR.1997.609388⟩. ⟨inria-00548345⟩

Share

Metrics

Record views

274

Files downloads

2687