moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvar (Operator)

Name

moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvar — Geometric moments of regions.

Signature

Description

The operator moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvar calculates the scaled moments (M20M20M20M20M20m20, M02M02M02M02M02m02) and the procut of inertia of the axes through the center parallel to the coordinate axes (M11M11M11M11M11m11).

Calculation:

and are the coordinates of the center of a region R with the area F. Then the moments are defined by:

,

wherein Z and S run through all pixels of the region R.

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_systemSetSystemset_systemSetSystemSetSystem).

Parallelization

• 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 F is the area of the region the mean runtime complexity is O(sqrt(F)).

Result

The operator moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvar 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>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("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>)set_system("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>). If necessary an exception is raised.

Possible Predecessors

thresholdthresholdThresholdthresholdThresholdThreshold, regiongrowingregiongrowingRegiongrowingregiongrowingRegiongrowingRegiongrowing, connectionconnectionConnectionconnectionConnectionConnection

Alternatives

moments_region_2ndmoments_region_2ndMomentsRegion2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2nd

See also

elliptic_axiselliptic_axisEllipticAxiselliptic_axisEllipticAxisEllipticAxis

Module

Foundation