Name
moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld — Geometric moments M20, M02, and M11
of contours or polygons treated as point clouds.
Herror moments_points_xld(const Hobject XLD, double* M11, double* M20, double* M02)
Herror T_moments_points_xld(const Hobject XLD, Htuple* M11, Htuple* M20, Htuple* M02)
Herror moments_points_xld(Hobject XLD, double* M11, double* M20, double* M02)
Herror moments_points_xld(Hobject XLD, HTuple* M11, HTuple* M20, HTuple* M02)
double HXLD::MomentsPointsXld(double* M20, double* M02) const
HTuple HXLDArray::MomentsPointsXld(HTuple* M20, HTuple* M02) const
void MomentsPointsXld(const HObject& XLD, HTuple* M11, HTuple* M20, HTuple* M02)
HTuple HXLD::MomentsPointsXld(HTuple* M20, HTuple* M02) const
double HXLD::MomentsPointsXld(double* M20, double* M02) const
moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld calculates the moments (M20M20M20M20M20m20,
M02M02M02M02M02m02, and M11M11M11M11M11m11) of a point cloud given by a contour or a
polygon XLDXLDXLDXLDXLDXLD (i.e., the order of the points in the contour or
polygon is not taken into account). Therefore, the moments are given by
M(p,q) = sum (r_{i} - r_{c})^p * (c_{i} - c_{c})^q.
Here, (r_{c},c_{c}) is the centroid and n the number of points.
If the contour or polygon is closed
(end point = start point), the end point of the contour or polygon is
not taken into account to avoid that it receives twice the weight of
the other points.
moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld should be used if the contour XLDXLDXLDXLDXLDXLD
intersects itself or if it is not possible to close the contour using a line
from end to start point without self-intersection, because in this case
moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld does not produce useful results. To test whether the
contours or polygons intersect themselves,
test_self_intersection_xldtest_self_intersection_xldTestSelfIntersectionXldtest_self_intersection_xldTestSelfIntersectionXldTestSelfIntersectionXld can be used.
If more than one contour or polygon is passed, the results are stored
in tuples in the same order as the respective contours or polygons in
XLDXLDXLDXLDXLDXLD.
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
Contours or polygons to be examined.
Mixed second order moment.
Second order moment along the row axis.
Second order moment along the column axis.
Let n be the number of points of the contour or polygon.
Then the run time is O(n).
moments_points_xldmoments_points_xldMomentsPointsXldmoments_points_xldMomentsPointsXldMomentsPointsXld returns 2 (H_MSG_TRUE) if the input is not
empty. If the input is empty the behavior can be set via
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>). If necessary,
an exception is raised.
gen_contours_skeleton_xldgen_contours_skeleton_xldGenContoursSkeletonXldgen_contours_skeleton_xldGenContoursSkeletonXldGenContoursSkeletonXld,
smooth_contours_xldsmooth_contours_xldSmoothContoursXldsmooth_contours_xldSmoothContoursXldSmoothContoursXld,
gen_polygons_xldgen_polygons_xldGenPolygonsXldgen_polygons_xldGenPolygonsXldGenPolygonsXld
moments_xldmoments_xldMomentsXldmoments_xldMomentsXldMomentsXld,
moments_any_xldmoments_any_xldMomentsAnyXldmoments_any_xldMomentsAnyXldMomentsAnyXld,
moments_any_points_xldmoments_any_points_xldMomentsAnyPointsXldmoments_any_points_xldMomentsAnyPointsXldMomentsAnyPointsXld
moments_any_points_xldmoments_any_points_xldMomentsAnyPointsXldmoments_any_points_xldMomentsAnyPointsXldMomentsAnyPointsXld,
area_center_points_xldarea_center_points_xldAreaCenterPointsXldarea_center_points_xldAreaCenterPointsXldAreaCenterPointsXld,
moments_region_2ndmoments_region_2ndMomentsRegion2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2nd,
area_centerarea_centerAreaCenterarea_centerAreaCenterAreaCenter
Foundation