Name
moments_region_3rdmoments_region_3rdMomentsRegion3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rd — Geometric moments of regions.
Herror moments_region_3rd(const Hobject Regions, double* M21, double* M12, double* M03, double* M30)
Herror T_moments_region_3rd(const Hobject Regions, Htuple* M21, Htuple* M12, Htuple* M03, Htuple* M30)
Herror moments_region_3rd(Hobject Regions, double* M21, double* M12, double* M03, double* M30)
Herror moments_region_3rd(Hobject Regions, HTuple* M21, HTuple* M12, HTuple* M03, HTuple* M30)
double HRegion::MomentsRegion3rd(double* M12, double* M03, double* M30) const
HTuple HRegionArray::MomentsRegion3rd(HTuple* M12, HTuple* M03, HTuple* M30) const
The operator moments_region_3rdmoments_region_3rdMomentsRegion3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rd calculates the
translation-invariant central moments (M21M21M21M21M21m21, M12M12M12M12M12m12,
M03M03M03M03M03m03, M30M30M30M30M30m30) 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 Mpq are defined by:
Mpq = SUM Z( xi, yi) (xi - x)^p (yi - y)^q,
wherein are x = m10 / m00 and y = m01 / m00.
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.
Moment of 3rd order (line-dependent).
Moment of 3rd order (column-dependent).
Moment of 3rd order (column-dependent).
Moment of 3rd order (line-dependent).
If Z is the area of the region the mean runtime
complexity is O(sqrt(Z)).
The operator moments_region_3rdmoments_region_3rdMomentsRegion3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rd 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