Patent ID: 11887254
Assignee: CHONGQING SURVEY INSTITUTE
Field: Computer technology (Electrical engineering)
Classification: CPC G | IPC G

Claim 11:
12. The method according to claim 11, wherein the mathematical model for correction established in step S21 is shown below: the mathematical model for correction between the original coordinate frame and the target coordinate frame is established in the form of a seven-parameter model shown in formula (1); a general form of the mathematical model for correction is as shown in formula (2); seven parameters are introduced into the model, including three translation parameters X0, Y0 and Z0 that denote coordinate differences between the origins of coordinates of two space coordinate frames, three rotation parameters εx, εy and εz that are used for orderly rotating three coordinate axes such that X-, Y- and Z-axes of two space rectangular coordinate frames coincide, and one scale parameter m that denotes a ratio of lengths of a same straight line segment in two space coordinate frames to allow scale transformation;, [
      
       
        
         
          X
          2
         
        
       
       
        
         
          Y
          2
         
        
       
       
        
         
          Z
          2
         
        
       
      
      ]
     
     =
     
      
       
        (
        
         1
         +
         m
        
        )
       
       [
       
        
         
          
           X
           1
          
         
        
        
         
          
           Y
           1
          
         
        
        
         
          
           Z
           1
          
         
        
       
       ]
      
      +
      
       
        [
        
         
          
           0
          
          
           
            ε
            Z
           
          
          
           
            -
            
             ε
             Y
            
           
          
         
         
          
           
            -
            
             ε
             Z
            
           
          
          
           0
          
          
           
            ε
            X
           
          
         
         
          
           
            ε
            Y
           
          
          
           
            -
            
             ε
             X
            
           
          
          
           0
          
         
        
        ]
       
       [
       
        
         
          
           X
           1
          
         
        
        
         
          
           Y
           1
          
         
        
        
         
          
           Z
           1
          
         
        
       
       ]
      
      +
      
       [
       
        
         
          
           X
           0
          
         
        
        
         
          
           Y
           0
          
         
        
        
         
          
           Z
           0
          
         
        
       
       ]
      
     
    
   
   
    
     (
     1
     )
    
   
  
 

wherein X1, Y1 and Z1 denote the space coordinates in the original coordinate frame in the first format, and X2, Y2 and Z2 denote the space coordinates in the target coordinate frame in the second format; and the general form is as follows:, X
           2
          
          =
          
           
            X
            0
           
           +
           
            
             (
             
              1
              +
              m
             
             )
            
            ⁢
            
             X
             1
            
           
           +
           
            
             ε
             Z
            
            ⁢
            
             Y
             1
            
           
           -
           
            
             ε
             Y
            
            ⁢
            
             Z
             1
            
           
          
         
        
       
       
        
         
          
           Y
           2
          
          =
          
           
            Y
            0
           
           +
           
            
             (
             
              1
              +
              m
             
             )
            
            ⁢
            
             Y
             1
            
           
           -
           
            
             ε
             Z
            
            ⁢
            
             X
             1
            
           
           +
           
            
             ε
             X
            
            ⁢
            
             Z
             1
            
           
          
         
        
       
       
        
         
          
           Z
           2
          
          =
          
           
            Z
            0
           
           +
           
            
             (
             
              1
              +
              m
             
             )
            
            ⁢
            
             Z
             1
            
           
           +
           
            
             ε
             Y
            
            ⁢
            
             X
             1
            
           
           -
           
            
             ε
             X
            
            ⁢
            
             Y
             1
            
           
          
         
        
       
      
      }
     
     .
    
   
   
    
     (
     2
     )