Full text: Proceedings, XXth congress (Part 3)

     
       
         
   
  
    
  
     
  
   
  
     
    
   
   
   
   
   
    
     
     
   
   
   
   
    
  
   
   
    
    
    
     
    
   
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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B3. Istanbul 2004 
   
     
   
Construction 
  
    
     
  
  
    
    
   
     
    
  
  
Construction 
  
  
      
    
   
   
  
  
     
   
  
    
   
  
    
   
     
  
   
  
    
   
Verification of 
Line and road section 
; ; of road CU 
extraction evaluation of fi using line 
; section 
connection strength image Fusion of Global Road 
- linear grouping of 
Construction i i 
Construction Verification of features road sections network 
Edge and road road section 
extraction evaluation of 2 using gradient 
connection SCHON 
image 
  
    
   
     
    
   
    
  
  
   
     
  
  
    
   
  
    
   
  
    
     
   
  
    
   
  
    
   
  
     
     
     
   
  
  
   
    
  
  
   
  
    
Figure 3: Workflow of road extraction using collinear features 
  
Figure 4: Extracted lines (left) and edges (right). The original 
image is given in figure 2. 
  
   
   
   
   
    
linear feature => line or edge 
endpoint 
connection (straight line) 
snake optimized connection 
road section \ 
endpoint 
linear feature 
Figure 5: Road section, consisting of linear features and a snake 
optimized connection. 
Gaussian smoothed image, with ¢ = 2.0, in x and y direction, 
e the linear features must have a minimum length (117, ,) 
e there is a minimum and maximum length for the connection 
(453) 
The evaluation parameters 4; are not simply thresholded, but they 
are interpreted as fuzzy values. The fuzzy variables are combined 
into one evaluation value (jjcoN) with the Fuzzy AND operator 
(1) (Zadeh, 1989). 
HCON Hc, ^uo, ^ue ^in AHBLS ^ BL, 
= MIN(HC, ; HC2 ; HC; BEA Eas La) (1) 
Connections with a combined evaluation value above a given 
threshold serve as basis for the construction of road sections. 
3.3 Construction of Road Sections 
To determine the actual path of the connection, the two adjacent 
endpoints of the linear features are used as start points for a 
ziplock snake (cf. fig. 5). 
Snakes, also called Active Contour Models, were introduced by 
(Kass et al., 1988). A snake is described by geometric (Fy) 
and photometric (Fexr:) energies, with Esnake = Fint + Pext- 
The goal is to minimize the energy by varying the path of the 
snake. Due to the photometric energy the snake is pulled to 
image features, whereas the geometric energy usually controls 
the tension and rigidity of the snake. 
(Neuenschwander et al, 1995) crafted the term ”ziplock 
snake”, for which the optimization is performed from both sides 
inwards. The advantages of this approach when using it for 
bridging gaps in roads are that the given information about the 
endpoints 1s exploited well, while local minima, which arise 
especially in the middle of the gap due to a bad prediction of 
the road path, are avoided (Laptev et al., 2000). During the 
optimization process the active parts of the snake, where the 
image information is exploited, move step by step from both 
sides towards the center. 
As roads can appear as bright lines and image edges, a line 
strength and a gradient image, respectively, are used as photo- 
metric energy. The line strength image is calculated in form of 
the maximum negative eigenvalue of the Hessian Matrix (2) for 
each pixel. 
Jax Jaq 
H(z,y) = y y y 
duy JYY 
(2) 
Here Guz, gyy and gay, represent the second derivatives of the
	        
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