which completely distinguishes between road and other parts. With threshold opera-
tion, we can separate road and background from each other and preparing imagery for 
other operations. This color threshold can be approached with mean of colors at the 
roods in several aerial imageries that are available in dataset. After threshold, edge 
detection operation can be run better. We had used the method for edge detection. 
This method has higher performance rather than the others. You will see the result in 
figure 3(d). In digital imageries, in those points that there is edge on them, there are 
differences of color too. Therefore, sharpen operation leads to increase the difference 
at color in edges and it can enhance the image classification. So, next operation like 
edge detection can be executed with higher precision. 
In recent years the Hough transform and the related Radon transform have re-
ceived much attention. These two transforms are able to transform two dimensional 
images with lines into a domain of possible line parameters, where each line in the 
image will give a peak positioned at the corresponding line parameters. This has lead 
to many line detection applications within image processing, computer vision. In the 
last step, we use Hough transform and Radon transform for distinguished road and 
direction detection for road following in aerial images as shown in figure 3 (d). We 
extract the edge lines angle to find direction of road. Several definitions of the Radon 
transform exists, but they are related, and a very popular form expresses lines in the 
form ρ = x cos θ + y sin θ, where θ is the angle and ρ the smallest distance to the 
origin of the coordinate system. As shown in the two following definitions (which are 
identical), the Radon transform for a set of parameters (ρ,  θ) is the line integral 
through the image g(x, y), where the line is positioned corresponding to the value of 
(ρ, θ). The δ ( ) is the delta function which is infinite for argument 0 and zero for all 
other arguments (it integrates to one). 
∫∫
+∞
∞−
+∞
∞−
= dy)dx  siny  - cos x - (p  y) g(x,),(
θθδθ
pg
               (1) 
Or the identical expression 
∫
+∞
∞−
+= )ds cos s  sin p , sin s - cos g(p),(
θθθθθ
pg
         (2) 
In his Ph.D. thesis [10], Peter Toft investigated the relationship of Radon transform 
with the Hough transform, and it is shown that the Radon transform and the Hough 
transform are related but not the same.  The Radon transform of a function f(x,y) is 
defined as the integral along a straight line defined by its distance P from the origin 
and its angle of inclination θ
 , a definition very close to that of the Hough  transform 
and requires a lot of processing power in order to be able to do its work in a reasona-
bly finite time. Now a day high processing power is not a problem. Here we are con-
sidering all the line has same skew angle and the range of angle is -45
°
  to 45
°
. Here 
Radon transform will detect the angle from the upper envelope. If the skewed angle is 
more than 45
° 
or less then -45
°
 the upper envelope may contain 2 lines in different 
directions. An example is shown in Figure 3(d) having 20 degree of skewed angle. 
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