Name
moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvar — Geometric moments of regions.
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)
Herror moments_region_central_invar(Hobject Regions, double* PSI1, double* PSI2, double* PSI3, double* PSI4)
Herror moments_region_central_invar(Hobject Regions, HTuple* PSI1, HTuple* PSI2, HTuple* PSI3, HTuple* PSI4)
double HRegion::MomentsRegionCentralInvar(double* PSI2, double* PSI3, double* PSI4) const
HTuple HRegionArray::MomentsRegionCentralInvar(HTuple* PSI2, HTuple* PSI3, HTuple* PSI4) const
The operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvar calculates the
moments (PSI1PSI1PSI1PSI1PSI1PSI1, PSI2PSI2PSI2PSI2PSI2PSI2, PSI3PSI3PSI3PSI3PSI3PSI3, PSI4PSI4PSI4PSI4PSI4PSI4)
that are invariant under translation and general linear transformations.
Calculation: Then the moments PSIi are defined by:
PSI1 = I1 / MU^4
PSI2 = I2 / MU^10
PSI3 = I3 / MU^7
PSI4 = I4 / MU^11
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.
If Z is the area of the region the mean runtime
complexity is O(sqrt(Z)).
The operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvar 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