measure_posT_measure_posMeasurePosMeasurePosmeasure_pos (Operator)

Name

measure_posT_measure_posMeasurePosMeasurePosmeasure_pos — Extract straight edges perpendicular to a rectangle or annular arc.

Signature

measure_pos(Image : : MeasureHandle, Sigma, Threshold, Transition, Select : RowEdge, ColumnEdge, Amplitude, Distance)

Herror T_measure_pos(const Hobject Image, const Htuple MeasureHandle, const Htuple Sigma, const Htuple Threshold, const Htuple Transition, const Htuple Select, Htuple* RowEdge, Htuple* ColumnEdge, Htuple* Amplitude, Htuple* Distance)

void MeasurePos(const HObject& Image, const HTuple& MeasureHandle, const HTuple& Sigma, const HTuple& Threshold, const HTuple& Transition, const HTuple& Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance)

void HMeasure::MeasurePos(const HImage& Image, double Sigma, double Threshold, const HString& Transition, const HString& Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const

void HMeasure::MeasurePos(const HImage& Image, double Sigma, double Threshold, const char* Transition, const char* Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const

void HMeasure::MeasurePos(const HImage& Image, double Sigma, double Threshold, const wchar_t* Transition, const wchar_t* Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const   (Windows only)

void HImage::MeasurePos(const HMeasure& MeasureHandle, double Sigma, double Threshold, const HString& Transition, const HString& Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const

void HImage::MeasurePos(const HMeasure& MeasureHandle, double Sigma, double Threshold, const char* Transition, const char* Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const

void HImage::MeasurePos(const HMeasure& MeasureHandle, double Sigma, double Threshold, const wchar_t* Transition, const wchar_t* Select, HTuple* RowEdge, HTuple* ColumnEdge, HTuple* Amplitude, HTuple* Distance) const   (Windows only)

static void HOperatorSet.MeasurePos(HObject image, HTuple measureHandle, HTuple sigma, HTuple threshold, HTuple transition, HTuple select, out HTuple rowEdge, out HTuple columnEdge, out HTuple amplitude, out HTuple distance)

void HMeasure.MeasurePos(HImage image, double sigma, double threshold, string transition, string select, out HTuple rowEdge, out HTuple columnEdge, out HTuple amplitude, out HTuple distance)

void HImage.MeasurePos(HMeasure measureHandle, double sigma, double threshold, string transition, string select, out HTuple rowEdge, out HTuple columnEdge, out HTuple amplitude, out HTuple distance)

def measure_pos(image: HObject, measure_handle: HHandle, sigma: float, threshold: float, transition: str, select: str) -> Tuple[Sequence[float], Sequence[float], Sequence[float], Sequence[float]]

Description

measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos extracts straight edges which lie perpendicular to the major axis of a rectangle or annular arc.

For an explanation of the concept of 1D measuring see the introduction of chapter 1D Measuring.

The algorithm of measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos works by averaging the gray values in “slices” perpendicular to the major axis of the rectangle or annular arc in order to obtain a one-dimensional edge profile. The sampling is done at subpixel positions in the image ImageImageImageImageimageimage at integer row and column distances (in the coordinate frame of the rectangle) from the center of the rectangle. Since this involves some calculations which can be used repeatedly in several measurements, the operator gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2 or gen_measure_arcgen_measure_arcGenMeasureArcGenMeasureArcGenMeasureArcgen_measure_arc is used to perform these calculations only once, thus increasing the speed of measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos significantly. Since there is a trade-off between accuracy and speed in the subpixel calculations of the gray values, and thus in the accuracy of the extracted edge positions, different interpolation schemes can be selected in gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2. (The interpolation only influences rectangles not aligned with the image axes.) The measure object generated with gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2 is passed in MeasureHandleMeasureHandleMeasureHandleMeasureHandlemeasureHandlemeasure_handle.

After the one-dimensional edge profile has been calculated, subpixel edge locations are computed by convolving the profile with the derivatives of a Gaussian smoothing kernel of standard deviation SigmaSigmaSigmaSigmasigmasigma. Salient edges can be selected with the parameter ThresholdThresholdThresholdThresholdthresholdthreshold, which constitutes a threshold on the amplitude values (AmplitudeAmplitudeAmplitudeAmplitudeamplitudeamplitude), i.e., the absolute value of the first derivative of the edge. Note that the amplitude values are scaled by the factor . Additionally, it is possible to select only positive edges, i.e., edges which constitute a dark-to-light transition in the direction of the major axis of the rectangle or the arc (TransitionTransitionTransitionTransitiontransitiontransition = 'positive'"positive""positive""positive""positive""positive"), only negative edges, i.e., light-to-dark transitions (TransitionTransitionTransitionTransitiontransitiontransition = 'negative'"negative""negative""negative""negative""negative"), or both types of edges (TransitionTransitionTransitionTransitiontransitiontransition = 'all'"all""all""all""all""all"). Finally, it is possible to select which edge points are returned. If SelectSelectSelectSelectselectselect is set to 'all'"all""all""all""all""all", all edge points are returned. If it is set to 'first'"first""first""first""first""first", only the first of the extracted edge points is returned, while it is set to 'last'"last""last""last""last""last", only the last one is returned.

The extracted edges are returned as single points which lie on the major axis of the rectangle or arc in (RowEdgeRowEdgeRowEdgeRowEdgerowEdgerow_edge, ColumnEdgeColumnEdgeColumnEdgeColumnEdgecolumnEdgecolumn_edge). The corresponding edge amplitudes are returned in AmplitudeAmplitudeAmplitudeAmplitudeamplitudeamplitude. In addition, the distance between consecutive edge points is returned in DistanceDistanceDistanceDistancedistancedistance. Here, Distance[i] corresponds to the distance between Edge[i] and Edge[i+1], i.e., the tuple DistanceDistanceDistanceDistancedistancedistance contains one element less than the tuples RowEdgeRowEdgeRowEdgeRowEdgerowEdgerow_edge and ColumnEdgeColumnEdgeColumnEdgeColumnEdgecolumnEdgecolumn_edge.

Attention

measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos only returns meaningful results if the assumptions that the edges are straight and perpendicular to the major axis of the rectangle or arc are fulfilled. Thus, it should not be used to extract edges from curved objects, for example. Furthermore, the user should ensure that the rectangle or arc is as close to perpendicular as possible to the edges in the image. Additionally, SigmaSigmaSigmaSigmasigmasigma must not become larger than approx. 0.5 * Length1 (for Length1 see gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2).

It should be kept in mind that measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos ignores the domain of ImageImageImageImageimageimage for efficiency reasons. If certain regions in the image should be excluded from the measurement a new measure object with appropriately modified parameters should be generated.

Execution Information

Parameters

ImageImageImageImageimageimage (input_object)  singlechannelimage objectHImageHObjectHImageHobject (byte / uint2 / real)

Input image.

MeasureHandleMeasureHandleMeasureHandleMeasureHandlemeasureHandlemeasure_handle (input_control)  measure HMeasure, HTupleHHandleHTupleHtuple (handle) (IntPtr) (HHandle) (handle)

Measure object handle.

SigmaSigmaSigmaSigmasigmasigma (input_control)  number HTuplefloatHTupleHtuple (real) (double) (double) (double)

Sigma of gaussian smoothing.

Default value: 1.0

Suggested values: 0.4, 0.6, 0.8, 1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 7.0, 10.0

Typical range of values: 0.4 ≤ Sigma Sigma Sigma Sigma sigma sigma ≤ 100 (lin)

Minimum increment: 0.01

Recommended increment: 0.1

Restriction: Sigma >= 0.4

ThresholdThresholdThresholdThresholdthresholdthreshold (input_control)  number HTuplefloatHTupleHtuple (real) (double) (double) (double)

Minimum edge amplitude.

Default value: 30.0

Suggested values: 5.0, 10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 70.0, 90.0, 110.0

Typical range of values: 1 ≤ Threshold Threshold Threshold Threshold threshold threshold ≤ 255 (lin)

Minimum increment: 0.5

Recommended increment: 2

TransitionTransitionTransitionTransitiontransitiontransition (input_control)  string HTuplestrHTupleHtuple (string) (string) (HString) (char*)

Light/dark or dark/light edge.

Default value: 'all' "all" "all" "all" "all" "all"

List of values: 'all'"all""all""all""all""all", 'negative'"negative""negative""negative""negative""negative", 'positive'"positive""positive""positive""positive""positive"

SelectSelectSelectSelectselectselect (input_control)  string HTuplestrHTupleHtuple (string) (string) (HString) (char*)

Selection of end points.

Default value: 'all' "all" "all" "all" "all" "all"

List of values: 'all'"all""all""all""all""all", 'first'"first""first""first""first""first", 'last'"last""last""last""last""last"

RowEdgeRowEdgeRowEdgeRowEdgerowEdgerow_edge (output_control)  point.y-array HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Row coordinate of the center of the edge.

ColumnEdgeColumnEdgeColumnEdgeColumnEdgecolumnEdgecolumn_edge (output_control)  point.x-array HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Column coordinate of the center of the edge.

AmplitudeAmplitudeAmplitudeAmplitudeamplitudeamplitude (output_control)  real-array HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Edge amplitude of the edge (with sign).

DistanceDistanceDistanceDistancedistancedistance (output_control)  real-array HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Distance between consecutive edges.

Result

If the parameter values are correct the operator measure_posmeasure_posMeasurePosMeasurePosMeasurePosmeasure_pos returns the value 2 (H_MSG_TRUE). Otherwise an exception is raised.

Possible Predecessors

gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2

Possible Successors

close_measureclose_measureCloseMeasureCloseMeasureCloseMeasureclose_measure

Alternatives

edges_sub_pixedges_sub_pixEdgesSubPixEdgesSubPixEdgesSubPixedges_sub_pix, fuzzy_measure_posfuzzy_measure_posFuzzyMeasurePosFuzzyMeasurePosFuzzyMeasurePosfuzzy_measure_pos

See also

measure_pairsmeasure_pairsMeasurePairsMeasurePairsMeasurePairsmeasure_pairs, fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs, fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing

Module

1D Metrology