moments_region_3rd moments_region_3rd MomentsRegion3rd MomentsRegion3rd (Operator)
Name
moments_region_3rd moments_region_3rd MomentsRegion3rd MomentsRegion3rd
— Geometric moments of regions.
Signature
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 )
Description
The operator moments_region_3rd moments_region_3rd MomentsRegion3rd MomentsRegion3rd MomentsRegion3rd
calculates the
translation-invariant central moments (M21 M21 M21 M21 m21
, M12 M12 M12 M12 m12
,
M03 M03 M03 M03 m03
, M30 M30 M30 M30 m30
) 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
are defined by:
,
wherein are
.
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_system set_system SetSystem SetSystem SetSystem
).
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
Regions Regions Regions Regions regions
(input_object) region(-array) →
object HRegion HRegion Hobject
Regions to be examined.
M21 M21 M21 M21 m21
(output_control) real(-array) →
HTuple HTuple Htuple (real) (double ) (double ) (double )
Moment of 3rd order (line-dependent).
M12 M12 M12 M12 m12
(output_control) real(-array) →
HTuple HTuple Htuple (real) (double ) (double ) (double )
Moment of 3rd order (column-dependent).
M03 M03 M03 M03 m03
(output_control) real(-array) →
HTuple HTuple Htuple (real) (double ) (double ) (double )
Moment of 3rd order (column-dependent).
M30 M30 M30 M30 m30
(output_control) real(-array) →
HTuple HTuple Htuple (real) (double ) (double ) (double )
Moment of 3rd order (line-dependent).
Complexity
If Z is the area of the region the mean runtime
complexity is O(sqrt(Z)).
Result
The operator moments_region_3rd moments_region_3rd MomentsRegion3rd MomentsRegion3rd MomentsRegion3rd
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
threshold threshold Threshold Threshold Threshold
,
regiongrowing regiongrowing Regiongrowing Regiongrowing Regiongrowing
,
connection connection Connection Connection Connection
Alternatives
moments_region_2nd moments_region_2nd MomentsRegion2nd MomentsRegion2nd MomentsRegion2nd
See also
elliptic_axis elliptic_axis EllipticAxis EllipticAxis EllipticAxis
Module
Foundation