moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd (Operator)

Name

moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd — Geometric moments of regions.

Signature

Description

The operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd calculates the translation-invariant central moments (M21M21M21m21m21, M12M12M12m12m12, M03M03M03m03m03, M30M30M30m30m30) of order p+q.

Calculation:

x and y are the coordinates of the center of a region R with the area Z.

Then the moments are defined by:

,

wherein are .

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_systemset_systemSetSystemSetSystemset_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

Complexity

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

Result

The operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd 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 is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdthreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingregiongrowing, connectionconnectionConnectionConnectionconnection

Alternatives

moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd

See also

elliptic_axiselliptic_axisEllipticAxisEllipticAxiselliptic_axis

Module

Foundation