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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part BS. Istanbul 2004
observation value is limited for the distortion factors (such
.as k, 3 k, » P1 » D; ) The relationship between the
unknown factors will have an effect on the measure quality
of the distortion coefficients. However, with the method
discussed in this paper, the measure result directly reflects
the real status of distortion, because only imaging system
error values are to be measured with several hundreds of
observation values. For real applications, according to the
known distortion error values on the “dispersed points”,
establish distortion superior model by interpolating and
computing the distortion of all pixel positions; or by
temporarily interpolating the distortion of a certain image
point. The interpolation principle of the two methods is
consistent. The required storage capacity should at least be
equal to the resolution of the chip, i.e., several G or tens of G,
in correspondence with the distortion superior models on
each focus plane. The method of temporary interpolation is
of more benefit.
With regards to the interpolation of the distortion error of a
certain focus plane, theoretically speaking, the computation
should be executed by the following expression:
2 4
Ax 2 kx tkaxr^ t kxr. A
2 4 (8)
Ay z ky tkyr^ t k,yr^ -^
In addition, referred to the creation process of DEM, the
interpolation method can be selected.
2. Conclusion
1) The distortion error calibration method based on 2D
DLT proposed in this paper, is a method to calibrate
distortion errors, like the analytical plumb-line
calibration method by D.C.Brown. This method has no
relationship with any physical meanings. There are no
measured distortion error coefficients. Instead, the
errors on each pixel are measured directly. Those errors
including various optical distortion errors and other
kinds. Compared with measured optical distortion
factors (such as kk; 7... Op; Opa 7...) method, this one
seems to be more practical. The analytical plumb-line
calibration method is more suitable for cameras with
films as the carrier. This method is more suitable for
digital camera.
2) This method is fit for CCD cameras with no square
pixels.
3) The technical key is to establish accurate plane control
network and accurately and automatically extract the