Implicit and explicit camera calibration: theory and experiments
Guo-Qing Wei
Song De Ma
Inst. of Robotics & Syst. Dynamics, German Aerosp. Res. Establ., Oberpfaffenhofen;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: May 1994
Volume: 16,
Issue: 5
On page(s): 469-480
ISSN: 0162-8828
References Cited: 27
CODEN: ITPIDJ
INSPEC Accession Number: 4713244
Digital Object Identifier: 10.1109/34.291450
Current Version Published: 2002-08-06
Abstract
By implicit camera calibration, we mean the process of calibrating
a camera without explicitly computing its physical parameters. Implicit
calibration can be used for both three-dimensional (3-D) measurement and
generation of image coordinates. In this paper, we present a new
implicit model based on the generalized projective mappings between the
image plane and two calibration planes. The back-projection and
projection processes are modelled separately to ease the computation of
distorted image coordinates from known world points. A set of
constraints of perspectivity is derived to relate the transformation
parameters of the two calibration planes. Under the assumption of the
radial distortion model, we present a computationally efficient method
for explicitly correcting the distortion of image coordinates in frame
buffer without involving the computation of camera position and
orientation. By combining with any linear calibration techniques, this
method makes explicit the camera physical parameters. Extensive
experimental comparison of our methods with the classic photogrammetric
method and Tsai's (1986) method in the aspects of 3-D measurement (both
absolute and relative errors), the prediction of image coordinates, and
the effect of the number of calibration points, is made using real
images from 15 different depth values
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