Focal Length Calibration from Two Views: Method and Analysis of Singular Cases

Peter Sturm 1 Zhaolin Cheng 2 Peter Chao Yu Chen 2 Aun Neow Poo 2
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 : We consider the problem of estimating the focal length of a camera from two views while the focal length is not varied during the motion of the camera. An approach based on Kruppa's equations is proposed. Specifically, we derive two linear and one quadratic equations to solve the problem. Although the three equations are interdependent in general, each one may be singular for different configurations. We study in detail the generic singularities of the problem and the actual singularities of the individual calibration equations. Results of our experiments using synthetic and real data underline the effect that singular configurations may have on selfcalibration. However, these results are stable once the singularities are avoided. Key words: Camera calibration, Kruppa's equations, 3D reconstruction.
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/inria-00524398
Contributor : Peter Sturm <>
Submitted on : Thursday, October 7, 2010 - 6:50:56 PM
Last modification on : Wednesday, April 11, 2018 - 1:50:52 AM

Links full text

Identifiers

Collections

CNRS | INRIA | IMAG | UGA

Citation

Peter Sturm, Zhaolin Cheng, Peter Chao Yu Chen, Aun Neow Poo. Focal Length Calibration from Two Views: Method and Analysis of Singular Cases. Computer Vision and Image Understanding, Elsevier, 2005, 99 (1), pp.58-95. ⟨10.1016/j.cviu.2004.11.002⟩. ⟨inria-00524398⟩

Share

Metrics

Record views

286