moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar (Operator)

Name

moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar — Geometric moments of regions.

Signature

Description

The operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar calculates the moments (PSI1PSI1PSI1PSI1PSI1psi1, PSI2PSI2PSI2PSI2PSI2psi2, PSI3PSI3PSI3PSI3PSI3psi3, PSI4PSI4PSI4PSI4PSI4psi4) that are invariant under translation and general linear transformations.

Calculation: Then the moments are defined by:

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_systemSetSystemSetSystemSetSystemset_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_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar returns the value 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>)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>)SetSystem("empty_region_result",<Result>)set_system("empty_region_result",<Result>). If necessary an exception is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdThresholdthreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowingregiongrowing, connectionconnectionConnectionConnectionConnectionconnection

Alternatives

moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd

See also

elliptic_axiselliptic_axisEllipticAxisEllipticAxisEllipticAxiselliptic_axis

Module

Foundation