Name
fit_circle_contour_xld fit_circle_contour_xld FitCircleContourXld fit_circle_contour_xld FitCircleContourXld FitCircleContourXld — Approximate XLD contours by circles.
fit_circle_contour_xld (Contours : : Algorithm , MaxNumPoints , MaxClosureDist , ClippingEndPoints , Iterations , ClippingFactor : Row , Column , Radius , StartPhi , EndPhi , PointOrder )
Herror fit_circle_contour_xld (const Hobject Contours , const char* Algorithm , const Hlong MaxNumPoints , double MaxClosureDist , const Hlong ClippingEndPoints , const Hlong Iterations , double ClippingFactor , double* Row , double* Column , double* Radius , double* StartPhi , double* EndPhi , char* PointOrder )
Herror T_fit_circle_contour_xld (const Hobject Contours , const Htuple Algorithm , const Htuple MaxNumPoints , const Htuple MaxClosureDist , const Htuple ClippingEndPoints , const Htuple Iterations , const Htuple ClippingFactor , Htuple* Row , Htuple* Column , Htuple* Radius , Htuple* StartPhi , Htuple* EndPhi , Htuple* PointOrder )
Herror fit_circle_contour_xld (Hobject Contours , const HTuple& Algorithm , const HTuple& MaxNumPoints , const HTuple& MaxClosureDist , const HTuple& ClippingEndPoints , const HTuple& Iterations , const HTuple& ClippingFactor , double* Row , double* Column , double* Radius , double* StartPhi , double* EndPhi , char* PointOrder )
Herror fit_circle_contour_xld (Hobject Contours , const HTuple& Algorithm , const HTuple& MaxNumPoints , const HTuple& MaxClosureDist , const HTuple& ClippingEndPoints , const HTuple& Iterations , const HTuple& ClippingFactor , HTuple* Row , HTuple* Column , HTuple* Radius , HTuple* StartPhi , HTuple* EndPhi , HTuple* PointOrder )
double HXLDCont ::FitCircleContourXld (const HTuple& Algorithm , const HTuple& MaxNumPoints , const HTuple& MaxClosureDist , const HTuple& ClippingEndPoints , const HTuple& Iterations , const HTuple& ClippingFactor , double* Column , double* Radius , double* StartPhi , double* EndPhi , char* PointOrder ) const
HTuple HXLDContArray ::FitCircleContourXld (const HTuple& Algorithm , const HTuple& MaxNumPoints , const HTuple& MaxClosureDist , const HTuple& ClippingEndPoints , const HTuple& Iterations , const HTuple& ClippingFactor , HTuple* Column , HTuple* Radius , HTuple* StartPhi , HTuple* EndPhi , HTuple* PointOrder ) const
void FitCircleContourXld (const HObject& Contours , const HTuple& Algorithm , const HTuple& MaxNumPoints , const HTuple& MaxClosureDist , const HTuple& ClippingEndPoints , const HTuple& Iterations , const HTuple& ClippingFactor , HTuple* Row , HTuple* Column , HTuple* Radius , HTuple* StartPhi , HTuple* EndPhi , HTuple* PointOrder )
void HXLDCont ::FitCircleContourXld (const HString& Algorithm , Hlong MaxNumPoints , double MaxClosureDist , Hlong ClippingEndPoints , Hlong Iterations , double ClippingFactor , HTuple* Row , HTuple* Column , HTuple* Radius , HTuple* StartPhi , HTuple* EndPhi , HTuple* PointOrder ) const
void HXLDCont ::FitCircleContourXld (const HString& Algorithm , Hlong MaxNumPoints , double MaxClosureDist , Hlong ClippingEndPoints , Hlong Iterations , double ClippingFactor , double* Row , double* Column , double* Radius , double* StartPhi , double* EndPhi , HString* PointOrder ) const
void HXLDCont ::FitCircleContourXld (const char* Algorithm , Hlong MaxNumPoints , double MaxClosureDist , Hlong ClippingEndPoints , Hlong Iterations , double ClippingFactor , double* Row , double* Column , double* Radius , double* StartPhi , double* EndPhi , HString* PointOrder ) const
void HOperatorSetX .FitCircleContourXld ( [in] IHUntypedObjectX* Contours , [in] VARIANT Algorithm , [in] VARIANT MaxNumPoints , [in] VARIANT MaxClosureDist , [in] VARIANT ClippingEndPoints , [in] VARIANT Iterations , [in] VARIANT ClippingFactor , [out] VARIANT* Row , [out] VARIANT* Column , [out] VARIANT* Radius , [out] VARIANT* StartPhi , [out] VARIANT* EndPhi , [out] VARIANT* PointOrder )
VARIANT HXLDContX .FitCircleContourXld ( [in] BSTR Algorithm , [in] Hlong MaxNumPoints , [in] double MaxClosureDist , [in] Hlong ClippingEndPoints , [in] Hlong Iterations , [in] double ClippingFactor , [out] VARIANT* Column , [out] VARIANT* Radius , [out] VARIANT* StartPhi , [out] VARIANT* EndPhi , [out] VARIANT* PointOrder )
static void HOperatorSet .FitCircleContourXld (HObject contours , HTuple algorithm , HTuple maxNumPoints , HTuple maxClosureDist , HTuple clippingEndPoints , HTuple iterations , HTuple clippingFactor , out HTuple row , out HTuple column , out HTuple radius , out HTuple startPhi , out HTuple endPhi , out HTuple pointOrder )
void HXLDCont .FitCircleContourXld (string algorithm , int maxNumPoints , double maxClosureDist , int clippingEndPoints , int iterations , double clippingFactor , out HTuple row , out HTuple column , out HTuple radius , out HTuple startPhi , out HTuple endPhi , out HTuple pointOrder )
void HXLDCont .FitCircleContourXld (string algorithm , int maxNumPoints , double maxClosureDist , int clippingEndPoints , int iterations , double clippingFactor , out double row , out double column , out double radius , out double startPhi , out double endPhi , out string pointOrder )
fit_circle_contour_xld fit_circle_contour_xld FitCircleContourXld fit_circle_contour_xld FitCircleContourXld FitCircleContourXld approximates the XLD contours
Contours Contours Contours Contours Contours contours by circles. It does not perform a segmentation of
the input contours. Thus, one has to make sure that each contour
corresponds to one and only one circle. The operator returns for
each contour the center (Row Row Row Row Row row , Column Column Column Column Column column ), and the
Radius Radius Radius Radius Radius radius .
The algorithm used for the fitting of circles can be selected via
Algorithm Algorithm Algorithm Algorithm Algorithm algorithm :
'algebraic' "algebraic" "algebraic" "algebraic" "algebraic" "algebraic"
This approach minimizes the algebraic distance between the contour
points and the resulting circle.
'ahuber' "ahuber" "ahuber" "ahuber" "ahuber" "ahuber"
Similar to 'algebraic'. Here the contour points are weighted to
decrease the impact of outliers based on the approach of Huber
(see below).
'atukey' "atukey" "atukey" "atukey" "atukey" "atukey"
Similar to 'algebraic'. Here the contour points are weighted
and outliers are ignored based
on the approach of Tukey
(see below).
'geometric' "geometric" "geometric" "geometric" "geometric" "geometric"
This approach minimizes the geometric distance
between the contour points and the resulting circle.
The distance measure is statistically optimal, but takes more
computational time.
This option is recommended if the contour
points are considerably distorted by noise.
'geohuber' "geohuber" "geohuber" "geohuber" "geohuber" "geohuber"
Similar to 'geometric'. Here the contour points are weighted
to decrease the impact of outliers based on
the approach of Huber (see below).
'geotukey' "geotukey" "geotukey" "geotukey" "geotukey" "geotukey"
Similar to 'geometric'. Here the contour points are weighted
and outliers are ignored based on
the approach of Tukey (see below).
For '*huber' and '*tukey' a robust error statistics is used to estimate the
standard deviation of the distances from the contour points without
outliers from the approximating circle. The parameter
ClippingFactor ClippingFactor ClippingFactor ClippingFactor ClippingFactor clippingFactor (a scaling factor for the standard deviation)
controls the amount of outliers: the smaller the value chosen for
ClippingFactor ClippingFactor ClippingFactor ClippingFactor ClippingFactor clippingFactor the more outliers are detected. In the Tukey
algorithm outliers are removed, whereas in the Huber algorithm
outliers are only damped, or more precisely they are weighted linearly.
Without any robust weighting the squares of the distances are taken as
error values in the optimization, i.e. a least square formulation.
In practice, the approach of Tukey is recommended.
The parameter Iterations Iterations Iterations Iterations Iterations iterations specifies the number of iterations for the
algorithms 'algebraic', 'ahuber' and 'atukey'. This parameter is ignored
for the algorithms 'geometric', 'geohuber'
and 'geotukey'. If Iterations Iterations Iterations Iterations Iterations iterations is set to zero, the algorithm does
not perform iterative improvements on the fitted circle, but only checks if
the initial guess was already close enough depending on the chosen treatment
of outliers.
To reduce the computational load, the fitting of circles can be
restricted to a subset of the contour points: If a value other than
-1 is assigned to MaxNumPoints MaxNumPoints MaxNumPoints MaxNumPoints MaxNumPoints maxNumPoints , only up to
MaxNumPoints MaxNumPoints MaxNumPoints MaxNumPoints MaxNumPoints maxNumPoints points - uniformly distributed over the
contour - are used.
For circular arcs, the points on the circle closest to the start
points and end points of the original contours are chosen as start
and end points. The corresponding angles referring to the X-axis are
returned in StartPhi StartPhi StartPhi StartPhi StartPhi startPhi and EndPhi EndPhi EndPhi EndPhi EndPhi endPhi , see also
gen_ellipse_contour_xld gen_ellipse_contour_xld GenEllipseContourXld gen_ellipse_contour_xld GenEllipseContourXld GenEllipseContourXld . Contours, for which the distance
between their start points and their end points is less or equal
MaxClosureDist MaxClosureDist MaxClosureDist MaxClosureDist MaxClosureDist maxClosureDist are considered to be closed. Thus, they are
approximated by circles instead of circular arcs. Due to artifacts
in the pre-processing the start and end points of a contour might be
faulty. Therefore, it is possible to exclude
ClippingEndPoints ClippingEndPoints ClippingEndPoints ClippingEndPoints ClippingEndPoints clippingEndPoints points at the beginning and at the end of a
contour from the fitting of circles. However, they are still used
for the determination of StartPhi StartPhi StartPhi StartPhi StartPhi startPhi and EndPhi EndPhi EndPhi EndPhi EndPhi endPhi .
The minimun necessary number of contour points for fitting a circle
is three.
Therefore, it is required that the number of contour points is at least
.
Multithreading type: reentrant (runs in parallel with non-exclusive operators).
Multithreading scope: global (may be called from any thread).
Processed without parallelization.
Algorithm for the fitting of circles.
Default value:
'algebraic'
"algebraic"
"algebraic"
"algebraic"
"algebraic"
"algebraic"
List of values: 'ahuber' "ahuber" "ahuber" "ahuber" "ahuber" "ahuber" , 'algebraic' "algebraic" "algebraic" "algebraic" "algebraic" "algebraic" , 'atukey' "atukey" "atukey" "atukey" "atukey" "atukey" , 'geohuber' "geohuber" "geohuber" "geohuber" "geohuber" "geohuber" , 'geometric' "geometric" "geometric" "geometric" "geometric" "geometric" , 'geotukey' "geotukey" "geotukey" "geotukey" "geotukey" "geotukey"
Maximum number of contour points used for the
computation (-1 for all points).
Default value: -1
Restriction: MaxNumPoints >= 3
Maximum distance between the end points of a
contour to be considered as 'closed'.
Default value: 0.0
Restriction: MaxClosureDist >= 0.0
Number of points at the beginning and at the end of the
contours to be ignored for the fitting.
Default value: 0
Restriction: ClippingEndPoints >= 0
Maximum number of iterations for the robust weighted
fitting.
Default value: 3
Restriction: Iterations >= 0
Clipping factor for the elimination of outliers
(typical: 1.0 for Huber and 2.0 for Tukey).
Default value: 2.0
List of values: 1.0, 1.5, 2.0, 2.5, 3.0
Restriction: ClippingFactor > 0
Row coordinate of the center of the circle.
Column coordinate of the center of the circle.
Angle of the start point [rad].
Angle of the end point [rad].
Point order along the boundary.
List of values: 'negative' "negative" "negative" "negative" "negative" "negative" , 'positive' "positive" "positive" "positive" "positive" "positive"
fit_circle_contour_xld fit_circle_contour_xld FitCircleContourXld fit_circle_contour_xld FitCircleContourXld FitCircleContourXld returns 2 (H_MSG_TRUE) if all parameter values
are correct, and circles could be fitted to the input contours. If
the input is empty the behaviour 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.
If the parameter ClippingFactor ClippingFactor ClippingFactor ClippingFactor ClippingFactor clippingFactor is chosen too small, i.e.,
all points are classified as outliers, the error 3264 is raised.
gen_contours_skeleton_xld gen_contours_skeleton_xld GenContoursSkeletonXld gen_contours_skeleton_xld GenContoursSkeletonXld GenContoursSkeletonXld ,
lines_gauss lines_gauss LinesGauss lines_gauss LinesGauss LinesGauss ,
lines_facet lines_facet LinesFacet lines_facet LinesFacet LinesFacet ,
edges_sub_pix edges_sub_pix EdgesSubPix edges_sub_pix EdgesSubPix EdgesSubPix ,
smooth_contours_xld smooth_contours_xld SmoothContoursXld smooth_contours_xld SmoothContoursXld SmoothContoursXld
gen_ellipse_contour_xld gen_ellipse_contour_xld GenEllipseContourXld gen_ellipse_contour_xld GenEllipseContourXld GenEllipseContourXld ,
disp_circle disp_circle DispCircle disp_circle DispCircle DispCircle ,
get_points_ellipse get_points_ellipse GetPointsEllipse get_points_ellipse GetPointsEllipse GetPointsEllipse
fit_ellipse_contour_xld fit_ellipse_contour_xld FitEllipseContourXld fit_ellipse_contour_xld FitEllipseContourXld FitEllipseContourXld ,
fit_line_contour_xld fit_line_contour_xld FitLineContourXld fit_line_contour_xld FitLineContourXld FitLineContourXld ,
fit_rectangle2_contour_xld fit_rectangle2_contour_xld FitRectangle2ContourXld fit_rectangle2_contour_xld FitRectangle2ContourXld FitRectangle2ContourXld
Foundation