moments_region_2nd_rel_invar ( Regions : : : PHI1, PHI2 )

Geometric moments of regions.

The operator moments_region_2nd_rel_invar calculates the scaled relative moments (PHI1, PHI2).

Calculation: The moments PHI1 and PHI2 are defined by:

                    PHI1 = V20 + V02,
		      PHI2 = (V20 + V02)^2 + (V11)^2 .

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).


Parameters

Regions (input_object)
region(-array) -> object
Regions to be examined.

PHI1 (output_control)
real(-array) -> real
Moment of 2nd order.

PHI2 (output_control)
real(-array) -> real
Moment of 2nd order.


Result

The operator moments_region_2nd_rel_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.


Parallelization Information

moments_region_2nd_rel_invar is reentrant and automatically parallelized (on tuple level).


Possible Predecessors

threshold, regiongrowing, connection


Alternatives

moments_region_2nd


See also

elliptic_axis


Module

Region processing



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