Name
fit_surface_second_orderfit_surface_second_orderFitSurfaceSecondOrderFitSurfaceSecondOrder — Calculate gray value moments and approximation by a second order surface.
Herror fit_surface_second_order(const Hobject Regions, const Hobject Image, const char* Algorithm, const Hlong Iterations, double ClippingFactor, double* Alpha, double* Beta, double* Gamma, double* Delta, double* Epsilon, double* Zeta)
Herror T_fit_surface_second_order(const Hobject Regions, const Hobject Image, const Htuple Algorithm, const Htuple Iterations, const Htuple ClippingFactor, Htuple* Alpha, Htuple* Beta, Htuple* Gamma, Htuple* Delta, Htuple* Epsilon, Htuple* Zeta)
void FitSurfaceSecondOrder(const HObject& Regions, const HObject& Image, const HTuple& Algorithm, const HTuple& Iterations, const HTuple& ClippingFactor, HTuple* Alpha, HTuple* Beta, HTuple* Gamma, HTuple* Delta, HTuple* Epsilon, HTuple* Zeta)
HTuple HImage::FitSurfaceSecondOrder(const HRegion& Regions, const HString& Algorithm, Hlong Iterations, double ClippingFactor, HTuple* Beta, HTuple* Gamma, HTuple* Delta, HTuple* Epsilon, HTuple* Zeta) const
double HImage::FitSurfaceSecondOrder(const HRegion& Regions, const HString& Algorithm, Hlong Iterations, double ClippingFactor, double* Beta, double* Gamma, double* Delta, double* Epsilon, double* Zeta) const
double HImage::FitSurfaceSecondOrder(const HRegion& Regions, const char* Algorithm, Hlong Iterations, double ClippingFactor, double* Beta, double* Gamma, double* Delta, double* Epsilon, double* Zeta) const
HTuple HRegion::FitSurfaceSecondOrder(const HImage& Image, const HString& Algorithm, Hlong Iterations, double ClippingFactor, HTuple* Beta, HTuple* Gamma, HTuple* Delta, HTuple* Epsilon, HTuple* Zeta) const
double HRegion::FitSurfaceSecondOrder(const HImage& Image, const HString& Algorithm, Hlong Iterations, double ClippingFactor, double* Beta, double* Gamma, double* Delta, double* Epsilon, double* Zeta) const
double HRegion::FitSurfaceSecondOrder(const HImage& Image, const char* Algorithm, Hlong Iterations, double ClippingFactor, double* Beta, double* Gamma, double* Delta, double* Epsilon, double* Zeta) const
static void HOperatorSet.FitSurfaceSecondOrder(HObject regions, HObject image, HTuple algorithm, HTuple iterations, HTuple clippingFactor, out HTuple alpha, out HTuple beta, out HTuple gamma, out HTuple delta, out HTuple epsilon, out HTuple zeta)
HTuple HImage.FitSurfaceSecondOrder(HRegion regions, string algorithm, int iterations, double clippingFactor, out HTuple beta, out HTuple gamma, out HTuple delta, out HTuple epsilon, out HTuple zeta)
double HImage.FitSurfaceSecondOrder(HRegion regions, string algorithm, int iterations, double clippingFactor, out double beta, out double gamma, out double delta, out double epsilon, out double zeta)
HTuple HRegion.FitSurfaceSecondOrder(HImage image, string algorithm, int iterations, double clippingFactor, out HTuple beta, out HTuple gamma, out HTuple delta, out HTuple epsilon, out HTuple zeta)
double HRegion.FitSurfaceSecondOrder(HImage image, string algorithm, int iterations, double clippingFactor, out double beta, out double gamma, out double delta, out double epsilon, out double zeta)
The operator fit_surface_second_orderfit_surface_second_orderFitSurfaceSecondOrderFitSurfaceSecondOrderFitSurfaceSecondOrder calculates the gray value
moments and the parameters of the approximation of the gray values
by a second order surface. The calculation is done by minimizing the
distance between the gray values and the surface. A second order surface is
described by the following formula:
r_center and c_center are the center coordinates of the intersection of the
input region with the full image domain.
By the minimization process the parameters from AlphaAlphaAlphaAlphaalpha to
ZetaZetaZetaZetazeta is calculated.
The algorithm used for the fitting can be selected via
AlgorithmAlgorithmAlgorithmAlgorithmalgorithm:
- 'regression'
-
Standard 'least squares' fitting.
- 'huber'
-
Weighted 'least squares' fitting, where the impact of outliers
is decreased based on the approach of Huber.
- 'tukey'
-
Weighted 'least squares' fitting, where outliers
are ignored based on the approach of Tukey.
The parameter ClippingFactorClippingFactorClippingFactorClippingFactorclippingFactor (a scaling factor for the standard
deviation) controls the amount of damping outliers: The smaller the
value chosen for ClippingFactorClippingFactorClippingFactorClippingFactorclippingFactor the more outliers are
detected. The detection of outliers is repeated. The parameter
IterationsIterationsIterationsIterationsiterations specifies the number of iterations. In the modus
'regression' this value is ignored.
Note that the operator fit_surface_second_orderfit_surface_second_orderFitSurfaceSecondOrderFitSurfaceSecondOrderFitSurfaceSecondOrder only considers
the given RegionsRegionsRegionsRegionsregions and ignores any previously set domain
of the input image ImageImageImageImageimage.
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
- Automatically parallelized on internal data level.
Corresponding gray values.
Algorithm for the fitting.
Default value:
'regression'
"regression"
"regression"
"regression"
"regression"
List of values: 'huber'"huber""huber""huber""huber", 'regression'"regression""regression""regression""regression", 'tukey'"tukey""tukey""tukey""tukey"
Maximum number of iterations (unused for 'regression').
Default value: 5
Restriction: Iterations >= 0
Clipping factor for the elimination of outliers.
Default value: 2.0
List of values: 1.0, 1.5, 2.0, 2.5, 3.0
Restriction: ClippingFactor > 0
Parameter Alpha of the approximating surface.
Parameter Beta of the approximating surface.
Parameter Gamma of the approximating surface.
Parameter Delta of the approximating surface.
Parameter Epsilon of the approximating surface.
Parameter Zeta of the approximating surface.
The operator fit_surface_second_orderfit_surface_second_orderFitSurfaceSecondOrderFitSurfaceSecondOrderFitSurfaceSecondOrder returns the
value 2 (H_MSG_TRUE) if an
image with the defined gray values ('byte'"byte""byte""byte""byte") is entered and
the parameters are correct.
If necessary an exception is raised.
gen_image_surface_second_ordergen_image_surface_second_orderGenImageSurfaceSecondOrderGenImageSurfaceSecondOrderGenImageSurfaceSecondOrder
moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlaneMomentsGrayPlane,
fit_surface_first_orderfit_surface_first_orderFitSurfaceFirstOrderFitSurfaceFirstOrderFitSurfaceFirstOrder
Foundation