Patent ID: 11946849
Assignee: IMEC VZW
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 7:
8. The differentiation system according to claim 1,
wherein the microscopic particle recognizer is configured to determine rotationally invariant features according to:, F
    n
  
  =
  
    
    
      
        ∑
        
          x
          ,
          y
        
      
      ⁢
      
        
          
            M
            n
          
          ⁡
          
            (
            
              x
              ,
              y
            
            )
          
        
        ⁢
        
          f
          ⁡
          
            (
            
              x
              ,
              y
            
            )
          
        
      
    
    
  

wherein f(x, y) represents a (resealed) absolute value of the Fourier transform of the interference pattern, for x2+y2≤1 and Mn(x, y) for arbitrary n∈N are moments with rotational symmetry, expressed in cartesian coordinates,
or wherein the microscopic particle recognize r is configured to determine rotationally invariant features comprising Zernike moments given by Vn,m(ρ, θ)=Rn,m exp(jmθ), expressed in polar coordinates so that θ is an azimuthal angle, ρ is a radial distance 0≤ρ≤1, and j is an imaginary unit, n are non-negative integers representing order of Zernike polynomials and m represents repetitions of the Zernike polynomials which satisfy the constraint of, (
    
      n
      -
      
        
        m
        
      
    
    )
  
  2, ∈N, |m|≤n, and Rn,m are radial polynomials, R
    
      n
      ,
      m
    
  
  =
  
    
      
        
          Σ
          
            s
            =
            0
          
          
            
              (
              
                n
                -
                
                  
                  m
                  
                
              
              )
            
            /
            2
          
        
        ⁡
        
          (
          
            -
            1
          
          )
        
      
      s
    
    ⁢
    
      
        
          (
          
            n
            -
            s
          
          )
        
        !
      
      
        s
        ⁢
        
          !
          
            
              
                (
                
                  
                    
                      n
                      +
                      
                        
                        m
                        
                      
                    
                    e
                  
                  ⁢
                  s
                
                )
              
              !
            
            ⁢
            
              
                (
                
                  
                    
                      n
                      -
                      
                        
                        m
                        
                      
                    
                    2
                  
                  ⁢
                  s
                
                )
              
              !
            
          
        
      
    
    ⁢
    
      
        ρ
        
          (
          
            n
            -
            
              2
              ⁢
              s
            
          
          )
        
      
      .