Name
moments_region_centralmoments_region_centralMomentsRegionCentralmoments_region_centralMomentsRegionCentralMomentsRegionCentral — Geometric moments of regions.
Herror moments_region_central(const Hobject Regions, double* I1, double* I2, double* I3, double* I4)
Herror T_moments_region_central(const Hobject Regions, Htuple* I1, Htuple* I2, Htuple* I3, Htuple* I4)
Herror moments_region_central(Hobject Regions, double* I1, double* I2, double* I3, double* I4)
Herror moments_region_central(Hobject Regions, HTuple* I1, HTuple* I2, HTuple* I3, HTuple* I4)
double HRegion::MomentsRegionCentral(double* I2, double* I3, double* I4) const
HTuple HRegionArray::MomentsRegionCentral(HTuple* I2, HTuple* I3, HTuple* I4) const
void MomentsRegionCentral(const HObject& Regions, HTuple* I1, HTuple* I2, HTuple* I3, HTuple* I4)
HTuple HRegion::MomentsRegionCentral(HTuple* I2, HTuple* I3, HTuple* I4) const
double HRegion::MomentsRegionCentral(double* I2, double* I3, double* I4) const
The operator moments_region_centralmoments_region_centralMomentsRegionCentralmoments_region_centralMomentsRegionCentralMomentsRegionCentral calculates the
central moments (I1I1I1I1I1i1, I2I2I2I2I2i2,
I3I3I3I3I3i3, I4I4I4I4I4i4).
Calculation: Then the moments Ii are defined by:
I1 = MU20 MU02 - MU11^2
I2 = (MU30 MU03 - MU21 MU12)^2
-4(MU30 MU12 - MU21^2)(MU21 MU03 - MU12^2)
I3 = MU20 (MU21 MU03 - MU12^2) - MU11(MU30 MU03
- MU21 MU12) + MU02 (MU30 MU12 - MU21^2)
I4 = MU30^2 MU02^3 - 6 MU30 MU21 MU11 MU02^2 +
6 MU30 MU12 MU02 (2 MU11^2 - MU20 MU02)
+ MU30 MU03 (6 MU20 MU11 MU02 - 8 MU11^3) +
9{MU21^2} MU20 MU02^2 - 18 MU21 MU12 MU20 MU11 MU02
+ 6 MU21 MU03 MU20 (2 MU11^2 - MU20 MU02)+
9 MU12^2 MU20^2 MU02 -
6 MU12 MU03 MU11 MU20^2 + MU03^2 MU20^3
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).
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
I1I1I1I1I1i1 (output_control) real(-array) → HTupleHTupleHTupleVARIANTHtuple (real) (double) (double) (double) (double) (double)
Moment of 2nd order.
I2I2I2I2I2i2 (output_control) real(-array) → HTupleHTupleHTupleVARIANTHtuple (real) (double) (double) (double) (double) (double)
Moment of 2nd order.
I3I3I3I3I3i3 (output_control) real(-array) → HTupleHTupleHTupleVARIANTHtuple (real) (double) (double) (double) (double) (double)
Moment of 2nd order.
I4I4I4I4I4i4 (output_control) real(-array) → HTupleHTupleHTupleVARIANTHtuple (real) (double) (double) (double) (double) (double)
Moment of 3rd order.
If Z is the area of the region the mean runtime
complexity is O(sqrt(Z)).
The operator moments_region_centralmoments_region_centralMomentsRegionCentralmoments_region_centralMomentsRegionCentralMomentsRegionCentral 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.
thresholdthresholdThresholdthresholdThresholdThreshold,
regiongrowingregiongrowingRegiongrowingregiongrowingRegiongrowingRegiongrowing,
connectionconnectionConnectionconnectionConnectionConnection
moments_region_2ndmoments_region_2ndMomentsRegion2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2nd
elliptic_axiselliptic_axisEllipticAxiselliptic_axisEllipticAxisEllipticAxis
Foundation