The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B5. Beijing 2008
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orientation elements of exterior and interior, so the collinearity
equation of photogrammetry can not be used to calculate the
these parameters. In here, we use the DLT to compute them.
3.1 DLT Principle
DLT basic equation is come from collinearity equation of
photogrammetry as shown in the equation (1). From this
equation we can conclude that DLT displays the linearity
relation between image coordinates and object coordinates in
ground coordinate system. The 11 parameters of this equation
can be directly computed by using the selected corresponding
points. But, for improving the precision of the registration, there
must be redundant observation to take part in least squares
adjustment. The coefficient elements of exterior and interior are
computed according relation equation between them and 11
parameters. Then, we can also use the collinearity equation to
register digital image and LIDAR data.
l x X + l 2 Y + I 3 Z + / 4 A
l 9 X + l w Y + l\\Z + 1 (1)
LX + LY + LZ + L
y + _5 1 z — = 0
l 9 X + I l0 Y + I U Z +1
where x, y = image coordinates
X, Y, Z= object coordinates in ground
coordinate system
4. DATA FUSION AND TEXTURE MAPPING
This section introduces data registration, texture mapping,
displaying of textured point cloud and TIN model and the
approach of making the orthophoto map.
4.1 Data Registration and Fusion
According to above calculation, we have got orientation and
lens distortion parameters. Thus, the rigorous collinearity
equation can be obtained. Then, texture coordinates of each
point of point cloud and TIN model can be computed by using
this equation. But, the calculated texture coordinates values
commonly are not integers. Some interpolations should be
applied. The paper uses the best neighbour point method.
Calculating the distance of the calculated point to the four point
border upon it, and then, choosing the point of the shortest
distance away from the four points as the last value of texture
coordinates. After that, we actualize the registration and fusion
between digital image and LIDAR data. Thus, each LIDAR
data point has its 3D and image coordinates.
4.2 Texture Mapping
Paper uses the texture mapping technology of OpenGL to
realize the display of textured point cloud and TIN model.
Because the each point of point cloud has got its 3D and texture
coordinates, using the point displaying function of OpenGL to
show the point and its texture. Figure 2 is the result. The left is
the digital image, and the right is the textured point cloud.
3.2 Using DLT of Iterative Least Squares to Calculate the
Precise Values of Parameters
Under the circumstance of redundant observation, paper utilizes
the iterative least squares to computer the parameters. Firstly,
by using the function equation of DLT and 6 pairs of
corresponding points, we can get 11 linearity equations. From
these equations, we can computer the initial values of 11
coefficients. There should be noticed that these corresponding
points had better to be distributed around the image and model
in order to obtain a better initial values. For the purpose of
camera calibration, there add an optics lens distortion
coefficient. In fact, there are lots of lens distortion coefficients,
but, this added has satisfied the request. Next, more than 6 pairs
of corresponding points can get the coefficient and constant
matrix of error equations. According to the normal equation, 11
coefficients and lens distortion coefficients can be obtained.
This is an iterative process, so we consider the photo focus
difference of adjacent twice calculations as the iterative basis,
and stop the calculation when the difference is lesser than 0.01
mm. There should be known that the photo focus is calculated
by using the 11 coefficients. Finally, the orientation elements of
exterior and interior can be calculated by using the conversion
relation equations about 11 coefficient and these elements.
In this paper, terrestrial LIDAR HDS4500 is applied to acquire
point clouds, and high resolution digital camera is applied to
obtain texture data. The system used 19 pairs of corresponding
points to take a test. According to the DLT of iterative least
squares, the orientation elements of exterior and interior and
lens distortion parameter have been calculated, and prepare for
the data registration.
Figure 2 Textured Point Cloud
Figure 3 Textured TIN Model