Basis functions of the discrete cosine transformation with corresponding coefficients (specific for our image). 
DCT of the image = 
  
    
      
        
          
            [
            
              
                
                  6.1917
                
                
                  −
                  0.3411
                
                
                  1.2418
                
                
                  0.1492
                
                
                  0.1583
                
                
                  0.2742
                
                
                  −
                  0.0724
                
                
                  0.0561
                
              
              
                
                  0.2205
                
                
                  0.0214
                
                
                  0.4503
                
                
                  0.3947
                
                
                  −
                  0.7846
                
                
                  −
                  0.4391
                
                
                  0.1001
                
                
                  −
                  0.2554
                
              
              
                
                  1.0423
                
                
                  0.2214
                
                
                  −
                  1.0017
                
                
                  −
                  0.2720
                
                
                  0.0789
                
                
                  −
                  0.1952
                
                
                  0.2801
                
                
                  0.4713
                
              
              
                
                  −
                  0.2340
                
                
                  −
                  0.0392
                
                
                  −
                  0.2617
                
                
                  −
                  0.2866
                
                
                  0.6351
                
                
                  0.3501
                
                
                  −
                  0.1433
                
                
                  0.3550
                
              
              
                
                  0.2750
                
                
                  0.0226
                
                
                  0.1229
                
                
                  0.2183
                
                
                  −
                  0.2583
                
                
                  −
                  0.0742
                
                
                  −
                  0.2042
                
                
                  −
                  0.5906
                
              
              
                
                  0.0653
                
                
                  0.0428
                
                
                  −
                  0.4721
                
                
                  −
                  0.2905
                
                
                  0.4745
                
                
                  0.2875
                
                
                  −
                  0.0284
                
                
                  −
                  0.1311
                
              
              
                
                  0.3169
                
                
                  0.0541
                
                
                  −
                  0.1033
                
                
                  −
                  0.0225
                
                
                  −
                  0.0056
                
                
                  0.1017
                
                
                  −
                  0.1650
                
                
                  −
                  0.1500
                
              
              
                
                  −
                  0.2970
                
                
                  −
                  0.0627
                
                
                  0.1960
                
                
                  0.0644
                
                
                  −
                  0.1136
                
                
                  −
                  0.1031
                
                
                  0.1887
                
                
                  0.1444
                
              
            
            ]
          
        
      
    
    {\displaystyle {\begin{bmatrix}6.1917&-0.3411&1.2418&0.1492&0.1583&0.2742&-0.0724&0.0561\\0.2205&0.0214&0.4503&0.3947&-0.7846&-0.4391&0.1001&-0.2554\\1.0423&0.2214&-1.0017&-0.2720&0.0789&-0.1952&0.2801&0.4713\\-0.2340&-0.0392&-0.2617&-0.2866&0.6351&0.3501&-0.1433&0.3550\\0.2750&0.0226&0.1229&0.2183&-0.2583&-0.0742&-0.2042&-0.5906\\0.0653&0.0428&-0.4721&-0.2905&0.4745&0.2875&-0.0284&-0.1311\\0.3169&0.0541&-0.1033&-0.0225&-0.0056&0.1017&-0.1650&-0.1500\\-0.2970&-0.0627&0.1960&0.0644&-0.1136&-0.1031&0.1887&0.1444\\\end{bmatrix}}}
  
.
English: Basis functions of the discrete cosine transformation with corresponding coefficients.