Cross-correlation function in identifying head checking defects of the railway rails
			
	
 
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				1
				Wyższa Szkoła Ekonomii i Innowacji w Lublinie, Wydział Transportu i Informatyki
				 
			 
						
				2
				Politechnika Rzeszowska, Wydział Zarządzania
				 
			 
						
										
				
				
		
		 
			
			
			
			 
			Submission date: 2017-04-03
			 
		 		
		
			
			 
			Final revision date: 2017-05-02
			 
		 		
		
		
			
			 
			Acceptance date: 2017-05-15
			 
		 		
		
		
			
			 
			Publication date: 2017-06-21
			 
		 			
		 
	
							
					    		
    			 
    			
    				    					Corresponding author
    					    				    				
    					Piotr  Lesiak   
    					Wyższa Szkoła Ekonomii i Innowacji w Lublinie, Wydział Transportu i Informatyki, ul. Projektowa 4, 20-209 Lublin, Polska
    				
 
    			
				 
    			 
    		 		
			
																	 
		
	 
		
 
 
Diagnostyka 2017;18(2):65-74
 
 
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ABSTRACT
The cross-correlation function has been applied to the study of the similarity of the two functions. One of these functions is known and represents a defect type HC (Head Checking) in the railway rail. The second function is unknown and based on cross-correlation function of both functions specifies the parameters of the similarities. These functions correspond  to  defects whose images have been determined using laser scatterometry  method. FFT method  has been used to calculate these functions.