Patent ID: 11940508
Assignee: BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS
Field: Measurement (Instruments)
Classification: CPC G  A | IPC A  G

Claim 7:
8. The MPI and FMT-fused multimodal imaging method for the small animal according to claim 6, wherein the 3D structural fluorescence distribution of the lesion region in the body of the target object is acquired by:
constructing an FMT reconstruction model, and performing reverse solving as follows:

AX=Φ

wherein, A denotes a forward system matrix; X denotes a fluorescent molecule distribution to be solved; and Φ denotes a surface fluorescence signal;
converting the reverse solving problem into a least squares problem:, min
    X
   
   
    E
    ⁡
    (
    X
    )
   
  
  =
  
   
    
     ❘
     "\[LeftBracketingBar]"
    
    
     
      ❘
      "\[LeftBracketingBar]"
     
     
      AX
      -
      Φ
     
     
      ❘
      "\[RightBracketingBar]"
     
    
    
     ❘
     "\[RightBracketingBar]"
    
   
   2
   2
  
 

wherein, E(X) denotes an optimization function; and
when the least squares problem is solved, due to an ill-conditioned and ill-posed nature of the system matrix A, an L1 norm constraint is added:, min
    X
   
   
    E
    ⁡
    (
    x
    )
   
  
  =
  
   
    
     
      ❘
      "\[LeftBracketingBar]"
     
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       AX
       -
       Φ
      
      
       ❘
       "\[RightBracketingBar]"
      
     
     
      ❘
      "\[RightBracketingBar]"
     
    
    2
    2
   
   +
   
    λ
    ⁢
    
     
      
       ❘
       "\[LeftBracketingBar]"
      
      
       
        ❘
        "\[LeftBracketingBar]"
       
       X
       
        ❘
        "\[RightBracketingBar]"
       
      
      
       ❘
       "\[RightBracketingBar]"
      
     
     1
    
   
  
 

wherein, λ denotes a regularization parameter; and
solving the least squares problem with the L1 norm constraint through an oblique projection matching pursuit method, thereby acquiring the 3D structural fluorescence distribution of the lesion region in the body of the target object.