HALCON 18.05 / HALCON Operator Reference / Regions / Features
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moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvar (Operator)

Name

moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvar — Geometric moments of regions.

Signature

moments_region_central_invar(Regions : : : PSI1, PSI2, PSI3, PSI4)

Herror moments_region_central_invar(const Hobject Regions, double* PSI1, double* PSI2, double* PSI3, double* PSI4)

Herror T_moments_region_central_invar(const Hobject Regions, Htuple* PSI1, Htuple* PSI2, Htuple* PSI3, Htuple* PSI4)

void MomentsRegionCentralInvar(const HObject& Regions, HTuple* PSI1, HTuple* PSI2, HTuple* PSI3, HTuple* PSI4)

HTuple HRegion::MomentsRegionCentralInvar(HTuple* PSI2, HTuple* PSI3, HTuple* PSI4) const

double HRegion::MomentsRegionCentralInvar(double* PSI2, double* PSI3, double* PSI4) const

static void HOperatorSet.MomentsRegionCentralInvar(HObject regions, out HTuple PSI1, out HTuple PSI2, out HTuple PSI3, out HTuple PSI4)

HTuple HRegion.MomentsRegionCentralInvar(out HTuple PSI2, out HTuple PSI3, out HTuple PSI4)

double HRegion.MomentsRegionCentralInvar(out double PSI2, out double PSI3, out double PSI4)

Description

The operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvar calculates the moments (PSI1PSI1PSI1PSI1PSI1, PSI2PSI2PSI2PSI2PSI2, PSI3PSI3PSI3PSI3PSI3, PSI4PSI4PSI4PSI4PSI4) 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_systemSetSystemSetSystemSetSystem).

Execution Information

Parameters

RegionsRegionsRegionsRegionsregions (input_object)  region(-array) → objectHRegionHRegionHobject

Regions to be examined.

PSI1PSI1PSI1PSI1PSI1 (output_control)  real(-array) → HTupleHTupleHtuple (real) (double) (double) (double)

Moment of 2nd order.

PSI2PSI2PSI2PSI2PSI2 (output_control)  real(-array) → HTupleHTupleHtuple (real) (double) (double) (double)

Moment of 2nd order.

PSI3PSI3PSI3PSI3PSI3 (output_control)  real(-array) → HTupleHTupleHtuple (real) (double) (double) (double)

Moment of 2nd order.

PSI4PSI4PSI4PSI4PSI4 (output_control)  real(-array) → HTupleHTupleHtuple (real) (double) (double) (double)

Moment of 2nd order.

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_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvar 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>)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>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>). If necessary an exception is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdThreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowing, connectionconnectionConnectionConnectionConnection

Alternatives

moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2nd

See also

elliptic_axiselliptic_axisEllipticAxisEllipticAxisEllipticAxis

Module

Foundation

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