moments_region_3rd_invar moments_region_3rd_invar MomentsRegion3rdInvar MomentsRegion3rdInvar moments_region_3rd_invar  (Operator) 
Name 
moments_region_3rd_invar moments_region_3rd_invar MomentsRegion3rdInvar MomentsRegion3rdInvar moments_region_3rd_invar  — Geometric moments of regions.
Signature 
Herror moments_region_3rd_invar (const Hobject Regions  , double* M21  , double* M12  , double* M03  , double* M30  )
Herror T_moments_region_3rd_invar (const Hobject Regions  , Htuple* M21  , Htuple* M12  , Htuple* M03  , Htuple* M30  )
 
def moments_region_3rd_invar (regions  : HObject) -> Tuple[Sequence[float], Sequence[float], Sequence[float], Sequence[float]]
def moments_region_3rd_invar_s (regions  : HObject) -> Tuple[float, float, float, float]
 
Description 
The operator moments_region_3rd_invar moments_region_3rd_invar MomentsRegion3rdInvar MomentsRegion3rdInvar moments_region_3rd_invar  calculates the
scale-invariant moments (M21 M21 M21 m21 m21  , M12 M12 M12 m12 m12  ,
M03 M03 M03 m03 m03  , M30 M30 M30 m30 m30  ).
Calculation:  
 Then the moments 
  
    
       
     
    
       
     
    
       
     
   
  
     
   
  
     
     
   
   are defined by:
  
    
       
     
    
       
     
    
       
     
    
       
     
    
       
     
    
       
     
   
  
     
   
  
     
     
   
  
     
   
  
     
   
  
     
     
   
   
  
     
   
  
     
   
  ,
wherein
  
    
       
     
    
       
     
    
       
     
    
       
     
    
       
     
    
       
     
   
  
     
   
  
     
   
  
     
   
  
     
   
  
     
   
  
     
   
   and 
  
    
       
     
    
       
     
    
       
     
    
       
     
   
  
     
   
  
     
   
  
     
   
  
     
     
   
  
     
   
  
     
   
  
     
     
   
  .
 
 
If more than one region is passed the results are stored in tuples, the index
of a value in the tuple corresponding to the index of a region in the input.
In case of empty region all parameters have the value 0.0 if no other
behavior was set (see set_system set_system SetSystem SetSystem set_system  ).
Execution Information 
  Multithreading type: reentrant (runs in parallel with non-exclusive operators). 
Multithreading scope: global (may be called from any thread). 
  
    Automatically parallelized on tuple level. 
  
 
Parameters 
  
Regions Regions Regions regions regions   (input_object)  region(-array) → object HRegion HObject HObject Hobject  
 
Regions to be examined.
 
  
M21 M21 M21 m21 m21   (output_control)  real(-array) → HTuple Sequence[float] HTuple Htuple  (real)  (double )  (double )  (double )  
 
Moment of 3rd order (line-dependent).
 
  
M12 M12 M12 m12 m12   (output_control)  real(-array) → HTuple Sequence[float] HTuple Htuple  (real)  (double )  (double )  (double )  
 
Moment of 3rd order (column-dependent).
 
  
M03 M03 M03 m03 m03   (output_control)  real(-array) → HTuple Sequence[float] HTuple Htuple  (real)  (double )  (double )  (double )  
 
Moment of 3rd order (column-dependent).
 
  
M30 M30 M30 m30 m30   (output_control)  real(-array) → HTuple Sequence[float] HTuple Htuple  (real)  (double )  (double )  (double )  
 
Moment of 3rd order (line-dependent).
 
Complexity 
If Z is the area of the region the mean runtime
complexity is O(sqrt(Z)).
Result 
The operator moments_region_3rd_invar moments_region_3rd_invar MomentsRegion3rdInvar MomentsRegion3rdInvar moments_region_3rd_invar  returns the value 2  (
      H_MSG_TRUE )
    
if the input is not empty.
The behavior in case of empty input (no input regions available) is
set via the operator set_system('no_object_result',<Result>) set_system("no_object_result",<Result>) SetSystem("no_object_result",<Result>) SetSystem("no_object_result",<Result>) set_system("no_object_result",<Result>)  .
The behavior in case of empty region (the region is the empty set) is set via
set_system('empty_region_result',<Result>) set_system("empty_region_result",<Result>) SetSystem("empty_region_result",<Result>) SetSystem("empty_region_result",<Result>) set_system("empty_region_result",<Result>)  .
If necessary an exception is raised.
Possible Predecessors 
threshold threshold Threshold Threshold threshold , 
regiongrowing regiongrowing Regiongrowing Regiongrowing regiongrowing , 
connection connection Connection Connection connection 
Alternatives 
moments_region_2nd moments_region_2nd MomentsRegion2nd MomentsRegion2nd moments_region_2nd 
See also 
elliptic_axis elliptic_axis EllipticAxis EllipticAxis elliptic_axis 
Module 
Foundation