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fuzzy_measure_pairsT_fuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairs (Operator)

Name

fuzzy_measure_pairsT_fuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairs — Extract straight edge pairs perpendicular to a rectangle or an annular arc.

Signature

fuzzy_measure_pairs(Image : : MeasureHandle, Sigma, AmpThresh, FuzzyThresh, Transition : RowEdgeFirst, ColumnEdgeFirst, AmplitudeFirst, RowEdgeSecond, ColumnEdgeSecond, AmplitudeSecond, RowEdgeCenter, ColumnEdgeCenter, FuzzyScore, IntraDistance, InterDistance)

Herror T_fuzzy_measure_pairs(const Hobject Image, const Htuple MeasureHandle, const Htuple Sigma, const Htuple AmpThresh, const Htuple FuzzyThresh, const Htuple Transition, Htuple* RowEdgeFirst, Htuple* ColumnEdgeFirst, Htuple* AmplitudeFirst, Htuple* RowEdgeSecond, Htuple* ColumnEdgeSecond, Htuple* AmplitudeSecond, Htuple* RowEdgeCenter, Htuple* ColumnEdgeCenter, Htuple* FuzzyScore, Htuple* IntraDistance, Htuple* InterDistance)

void FuzzyMeasurePairs(const HObject& Image, const HTuple& MeasureHandle, const HTuple& Sigma, const HTuple& AmpThresh, const HTuple& FuzzyThresh, const HTuple& Transition, HTuple* RowEdgeFirst, HTuple* ColumnEdgeFirst, HTuple* AmplitudeFirst, HTuple* RowEdgeSecond, HTuple* ColumnEdgeSecond, HTuple* AmplitudeSecond, HTuple* RowEdgeCenter, HTuple* ColumnEdgeCenter, HTuple* FuzzyScore, HTuple* IntraDistance, HTuple* InterDistance)

void HMeasure::FuzzyMeasurePairs(const HImage& Image, double Sigma, double AmpThresh, double FuzzyThresh, const HString& Transition, HTuple* RowEdgeFirst, HTuple* ColumnEdgeFirst, HTuple* AmplitudeFirst, HTuple* RowEdgeSecond, HTuple* ColumnEdgeSecond, HTuple* AmplitudeSecond, HTuple* RowEdgeCenter, HTuple* ColumnEdgeCenter, HTuple* FuzzyScore, HTuple* IntraDistance, HTuple* InterDistance) const

void HMeasure::FuzzyMeasurePairs(const HImage& Image, double Sigma, double AmpThresh, double FuzzyThresh, const char* Transition, HTuple* RowEdgeFirst, HTuple* ColumnEdgeFirst, HTuple* AmplitudeFirst, HTuple* RowEdgeSecond, HTuple* ColumnEdgeSecond, HTuple* AmplitudeSecond, HTuple* RowEdgeCenter, HTuple* ColumnEdgeCenter, HTuple* FuzzyScore, HTuple* IntraDistance, HTuple* InterDistance) const

void HImage::FuzzyMeasurePairs(const HMeasure& MeasureHandle, double Sigma, double AmpThresh, double FuzzyThresh, const HString& Transition, HTuple* RowEdgeFirst, HTuple* ColumnEdgeFirst, HTuple* AmplitudeFirst, HTuple* RowEdgeSecond, HTuple* ColumnEdgeSecond, HTuple* AmplitudeSecond, HTuple* RowEdgeCenter, HTuple* ColumnEdgeCenter, HTuple* FuzzyScore, HTuple* IntraDistance, HTuple* InterDistance) const

void HImage::FuzzyMeasurePairs(const HMeasure& MeasureHandle, double Sigma, double AmpThresh, double FuzzyThresh, const char* Transition, HTuple* RowEdgeFirst, HTuple* ColumnEdgeFirst, HTuple* AmplitudeFirst, HTuple* RowEdgeSecond, HTuple* ColumnEdgeSecond, HTuple* AmplitudeSecond, HTuple* RowEdgeCenter, HTuple* ColumnEdgeCenter, HTuple* FuzzyScore, HTuple* IntraDistance, HTuple* InterDistance) const

static void HOperatorSet.FuzzyMeasurePairs(HObject image, HTuple measureHandle, HTuple sigma, HTuple ampThresh, HTuple fuzzyThresh, HTuple transition, out HTuple rowEdgeFirst, out HTuple columnEdgeFirst, out HTuple amplitudeFirst, out HTuple rowEdgeSecond, out HTuple columnEdgeSecond, out HTuple amplitudeSecond, out HTuple rowEdgeCenter, out HTuple columnEdgeCenter, out HTuple fuzzyScore, out HTuple intraDistance, out HTuple interDistance)

void HMeasure.FuzzyMeasurePairs(HImage image, double sigma, double ampThresh, double fuzzyThresh, string transition, out HTuple rowEdgeFirst, out HTuple columnEdgeFirst, out HTuple amplitudeFirst, out HTuple rowEdgeSecond, out HTuple columnEdgeSecond, out HTuple amplitudeSecond, out HTuple rowEdgeCenter, out HTuple columnEdgeCenter, out HTuple fuzzyScore, out HTuple intraDistance, out HTuple interDistance)

void HImage.FuzzyMeasurePairs(HMeasure measureHandle, double sigma, double ampThresh, double fuzzyThresh, string transition, out HTuple rowEdgeFirst, out HTuple columnEdgeFirst, out HTuple amplitudeFirst, out HTuple rowEdgeSecond, out HTuple columnEdgeSecond, out HTuple amplitudeSecond, out HTuple rowEdgeCenter, out HTuple columnEdgeCenter, out HTuple fuzzyScore, out HTuple intraDistance, out HTuple interDistance)

Description

fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairs serves to extract straight edge pairs which lie perpendicular to the major axis of a rectangle or an annular arc. In addition to measure_pairsmeasure_pairsMeasurePairsMeasurePairsMeasurePairs it uses fuzzy functions to evaluate and select the edge pairs.

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

The extraction algorithm of fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairs is identical to fuzzy_measure_posfuzzy_measure_posFuzzyMeasurePosFuzzyMeasurePosFuzzyMeasurePos. In addition, neighboring edges are grouped to pairs. To extract pairs that intersect or include each other, use fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairing.

If TransitionTransitionTransitionTransitiontransition = 'positive'"positive""positive""positive""positive", the edge points with a dark-to-light transition in the direction of the major axis of the rectangle or annular arc are returned in RowEdgeFirstRowEdgeFirstRowEdgeFirstRowEdgeFirstrowEdgeFirst and ColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstcolumnEdgeFirst. In this case, the corresponding edges with a light-to-dark transition are returned in RowEdgeSecondRowEdgeSecondRowEdgeSecondRowEdgeSecondrowEdgeSecond and ColumnEdgeSecondColumnEdgeSecondColumnEdgeSecondColumnEdgeSecondcolumnEdgeSecond. If TransitionTransitionTransitionTransitiontransition = 'negative'"negative""negative""negative""negative", the behavior is exactly opposite. If TransitionTransitionTransitionTransitiontransition = 'all'"all""all""all""all", the first detected edge defines the transition for RowEdgeFirstRowEdgeFirstRowEdgeFirstRowEdgeFirstrowEdgeFirst and ColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstcolumnEdgeFirst. I.e., dependent on the positioning of the measure object, edge pairs with a light-dark-light transition or edge pairs with a dark-light-dark transition are returned. This is suited, e.g., to measure objects with different brightness relative to the background.

Having extracted subpixel edge locations, the edges are paired. The pairing algorithm groups the edges such that interleavings and inclusions of pairs are prohibited. The features of an edge pair are evaluated by a fuzzy function, which can be set by set_fuzzy_measureset_fuzzy_measureSetFuzzyMeasureSetFuzzyMeasureSetFuzzyMeasure or set_fuzzy_measure_norm_pairset_fuzzy_measure_norm_pairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPair. Which edge pairs are selected can be determined with the parameter FuzzyThreshFuzzyThreshFuzzyThreshFuzzyThreshfuzzyThresh, which constitutes a threshold on the weight over all fuzzy sets, i.e., the geometric mean of the weights of the defined fuzzy functions.

The selected edges are returned as single points, which lie on the major axis of the rectangle or annular arc. The corresponding edge amplitudes are returned in AmplitudeFirstAmplitudeFirstAmplitudeFirstAmplitudeFirstamplitudeFirst and AmplitudeSecondAmplitudeSecondAmplitudeSecondAmplitudeSecondamplitudeSecond, the fuzzy scores in FuzzyScoreFuzzyScoreFuzzyScoreFuzzyScorefuzzyScore. In addition, the distance between each edge pair is returned in IntraDistanceIntraDistanceIntraDistanceIntraDistanceintraDistance and the distance between consecutive edge pairs is returned in InterDistanceInterDistanceInterDistanceInterDistanceinterDistance. Here, IntraDistance[i] corresponds to the distance between EdgeFirst[i] and EdgeSecond[i], while InterDistance[i] corresponds to the distance between EdgeSecond[i] and EdgeFirst[i+1], i.e., the tuple InterDistanceInterDistanceInterDistanceInterDistanceinterDistance contains one element less than the tuples of the edge pairs.

Attention

fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairs only returns meaningful results if the assumptions that the edges are straight and perpendicular to the major axis of the rectangle or annular 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 a annular arc is as close to perpendicular as possible to the edges in the image. Additionally, SigmaSigmaSigmaSigmasigma must not become larger than approx. 0.5 * Length1 (for Length1 see gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2).

It should be kept in mind that fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairs ignores the domain of ImageImageImageImageimage 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

ImageImageImageImageimage (input_object)  singlechannelimage → objectHImageHImageHobject (byte / uint2 / real)

Input image.

MeasureHandleMeasureHandleMeasureHandleMeasureHandlemeasureHandle (input_control)  measure_id → HMeasure, HTupleHTupleHtuple (handle) (IntPtr) (HHandle) (handle)

Measure object handle.

SigmaSigmaSigmaSigmasigma (input_control)  number → HTupleHTupleHtuple (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 ≤ 100 (lin)

Minimum increment: 0.01

Recommended increment: 0.1

Restriction: Sigma >= 0.4

AmpThreshAmpThreshAmpThreshAmpThreshampThresh (input_control)  number → HTupleHTupleHtuple (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 ≤ AmpThresh AmpThresh AmpThresh AmpThresh ampThresh ≤ 255 (lin)

Minimum increment: 0.5

Recommended increment: 2

FuzzyThreshFuzzyThreshFuzzyThreshFuzzyThreshfuzzyThresh (input_control)  number → HTupleHTupleHtuple (real) (double) (double) (double)

Minimum fuzzy value.

Default value: 0.5

Suggested values: 0.1, 0.3, 0.5, 0.7, 0.9

Typical range of values: 0.0 ≤ FuzzyThresh FuzzyThresh FuzzyThresh FuzzyThresh fuzzyThresh ≤ 1.0 (lin)

Recommended increment: 0.1

TransitionTransitionTransitionTransitiontransition (input_control)  string → HTupleHTupleHtuple (string) (string) (HString) (char*)

Select the first gray value transition of the edge pairs.

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

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

RowEdgeFirstRowEdgeFirstRowEdgeFirstRowEdgeFirstrowEdgeFirst (output_control)  point.y-array → HTupleHTupleHtuple (real) (double) (double) (double)

Row coordinate of the first edge point.

ColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstColumnEdgeFirstcolumnEdgeFirst (output_control)  point.x-array → HTupleHTupleHtuple (real) (double) (double) (double)

Column coordinate of the first edge point.

AmplitudeFirstAmplitudeFirstAmplitudeFirstAmplitudeFirstamplitudeFirst (output_control)  real-array → HTupleHTupleHtuple (real) (double) (double) (double)

Edge amplitude of the first edge (with sign).

RowEdgeSecondRowEdgeSecondRowEdgeSecondRowEdgeSecondrowEdgeSecond (output_control)  point.y-array → HTupleHTupleHtuple (real) (double) (double) (double)

Row coordinate of the second edge point.

ColumnEdgeSecondColumnEdgeSecondColumnEdgeSecondColumnEdgeSecondcolumnEdgeSecond (output_control)  point.x-array → HTupleHTupleHtuple (real) (double) (double) (double)

Column coordinate of the second edge point.

AmplitudeSecondAmplitudeSecondAmplitudeSecondAmplitudeSecondamplitudeSecond (output_control)  real-array → HTupleHTupleHtuple (real) (double) (double) (double)

Edge amplitude of the second edge (with sign).

RowEdgeCenterRowEdgeCenterRowEdgeCenterRowEdgeCenterrowEdgeCenter (output_control)  point.y-array → HTupleHTupleHtuple (real) (double) (double) (double)

Row coordinate of the center of the edge pair.

ColumnEdgeCenterColumnEdgeCenterColumnEdgeCenterColumnEdgeCentercolumnEdgeCenter (output_control)  point.x-array → HTupleHTupleHtuple (real) (double) (double) (double)

Column coordinate of the center of the edge pair.

FuzzyScoreFuzzyScoreFuzzyScoreFuzzyScorefuzzyScore (output_control)  real-array → HTupleHTupleHtuple (real) (double) (double) (double)

Fuzzy evaluation of the edge pair.

IntraDistanceIntraDistanceIntraDistanceIntraDistanceintraDistance (output_control)  real-array → HTupleHTupleHtuple (real) (double) (double) (double)

Distance between edges of an edge pair.

InterDistanceInterDistanceInterDistanceInterDistanceinterDistance (output_control)  real-array → HTupleHTupleHtuple (real) (double) (double) (double)

Distance between consecutive edge pairs.

Result

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

Possible Predecessors

gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2, gen_measure_arcgen_measure_arcGenMeasureArcGenMeasureArcGenMeasureArc, set_fuzzy_measureset_fuzzy_measureSetFuzzyMeasureSetFuzzyMeasureSetFuzzyMeasure

Possible Successors

close_measureclose_measureCloseMeasureCloseMeasureCloseMeasure

Alternatives

edges_sub_pixedges_sub_pixEdgesSubPixEdgesSubPixEdgesSubPix, fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairing, measure_pairsmeasure_pairsMeasurePairsMeasurePairsMeasurePairs

See also

fuzzy_measure_posfuzzy_measure_posFuzzyMeasurePosFuzzyMeasurePosFuzzyMeasurePos, measure_posmeasure_posMeasurePosMeasurePosMeasurePos

Module

1D Metrology

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