Geometric moments of regions.

The operator moments_region_central_invar calculates the moments (PSI1, PSI2, PSI3, PSI4) that are invariant under translation and general linear transformations.

 Calculation: Then the moments PSIi are defined by:
	PSI1 = I1 / MU^4  
	PSI2 = I2 / MU^10  
	PSI3 = I3 / MU^7   
   	PSI4 = I4 / MU^11  

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).

If Z is the area of the region the mean runtime complexity is O(sqrt(Z)).

The operator moments_region_central_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>). The behavior in case of empty region (the region is the empty set) is set via set_system('empty_region_result',<Result>). If necessary an exception handling is raised.

moments_region_central_invar is reentrant and automatically parallelized (on tuple level).

threshold, regiongrowing, connection

moments_region_2nd

elliptic_axis

Region processing