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INFLUENCE FACTORS EVALUATION ON HIGH-PRECISION PLANAR
CALIBRATION OF NON-METRIC DIGITAL CAMERA
Wenjin Wang 3 , Bingxuan Guo a , Xin Li b , Jing Cao 3
d State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing,
Wuhan University, China. Wenjin_rs@126.com
b School of Remote Sensing and Information Engineering,Wuhan University, 129 Luoyu Road,Wuhan,China,430079)
Commission I, ThS-2
KEY WORDS: Camera calibration, influence factors, planar calibration
ABSTRACT:
With the rapid development of three-dimensional (3D) modelling, camera calibration is paid more and more attention. In this article,
we analyse the influence factors in the calibration: the camera and lens, the shape of control points, photography model and the scale
between calibration object and measurement. Appropriate model can get the right result quickly, and the position of the model in the
image effects the calibration result directly. The control points should cover the whole image evenly. The cross control point is
better than circle points. The more similar the size of object model and the measurement object, the higher precision the calibration
has. Actually, each of them plays an important part in calibration. We can get higher precision result based on considering those
influence factors. And the experiments in the end show that the work is worthy. It means that we should take those factors into
account.
1. INTRODUCTION
1.1 Background
With the rapid development of Photogrammetry and Electronic
technology, the measurement, using the Close-range
photogrammetry methods with stereo pair to identify and match
the 3-Demensional coordinates of the objects in the scene, is
more and more applied in the fields of the modeling of 3-
Demensional city, computation vision, industry metrology,
digital mapping and so on.
In the aerial photogrammetry, it is common to use the metric
camera with pre-determined intrinsic parameters, and the
geometric relationship in the image is specific. However, the
metric camera is expensive, bulky equipment, inconvenience to
be taken during photographing outside. Recently, the
technology of digital camera develops fast, which capability has
met the need of close-range photogrammetry. So, using non
metric digital camera in this field becomes more and more
prevalent. Compared with the common metric camera, the
intrinsic parameters of the usual non-metric digital camera are
uncertain in advance. The digital camera has many advantages
to obtain image: an error will be introduced when we flatten the
film in common metric camera but not in digital camera; its
images can be obtained fast and safely and needs no
development; the camera is solid, small bulk and light-weighted,
and it has strong adaptability and fine flexibility and
maneuverability during the photography. On the other hand,
disadvantages also exist in the digital camera, such as the
distortion. The digital camera usually has larger lens distortion,
which leads to the result that the principal points can’t coincide
with the geometric centre of image. The CCD array also has
distortion and the image axes are not orthogonal sometimes. All
those distortions must not be neglected, so the procedure of the
camera calibration is complex and should take many factors
into account.
Camera calibration is a critical part in 3-Demensional
measurement, and its result will affect the measurement
precision directly. The objective of stereo camera calibration is
to estimate the internal and external parameters of each camera.
For non-metric camera, the lens distortion plays an important
part in calibration, so the corrected aberration cannot be ignored
during the calibration. Therefore, another aspect of calibration
is to compute the aberration coefficients.
What is Camera calibration? Camera calibration is to identify
the camera’s posture during the data acquisition process,
including focal length f, as the principle point coordinate (uO,
vO) and various aberration coefficients. Camera calibration is a
critical part in 3D measurement. Measurement accuracy is
based on calibration result directly.
After a period of development, the researchers have present a
variety of calibration methods. Such as, the traditional
calibration method which needs calibration object, and the self-
calibration needs no calibration object.
At present, although self-calibration has its own superiority, its
accuracy is not satisfactory. The traditional calibration has
developed for a longer time, with higher precision, especially
three-dimensional calibration, which accuracy has been able to
meet a variety of needs. However, the traditional calibration
requires high accuracy calibration object. It is difficult to use
this method widely. So, the planar calibration comes into being.
Generally speaking, compared with the accuracy based on
three-dimensional calibration, the accuracy of two-dimensional
calibration is lower slightly. There are several problems in
three-dimensional calibration, such as expensive cost,
inconvenience to carry. Because of the various deficiencies of
the three-dimensional calibration, the camera calibration based
on two-dimensional plate has been gain favor, and calibration
algorithms in plate calibration have become a hot research in