Operators

fuzzy_measure_pairs (Operator)

Name

fuzzy_measure_pairs — 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)

Description

fuzzy_measure_pairs serves to extract straight edge pairs which lie perpendicular to the major axis of a rectangle or an annular arc. In addition to measure_pairs 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_pairs is identical to fuzzy_measure_pos. In addition, neighboring edges are grouped to pairs. To extract pairs that intersect or include each other, use fuzzy_measure_pairing.

If Transition = '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 RowEdgeFirst and ColumnEdgeFirst. In this case, the corresponding edges with a light-to-dark transition are returned in RowEdgeSecond and ColumnEdgeSecond. If Transition = 'negative', the behavior is exactly opposite. If Transition = 'all', the first detected edge defines the transition for RowEdgeFirst and ColumnEdgeFirst. 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_measure or set_fuzzy_measure_norm_pair. Which edge pairs are selected can be determined with the parameter FuzzyThresh, 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 AmplitudeFirst and AmplitudeSecond, the fuzzy scores in FuzzyScore. In addition, the distance between each edge pair is returned in IntraDistance and the distance between consecutive edge pairs is returned in InterDistance. 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 InterDistance contains one element less than the tuples of the edge pairs.

Attention

fuzzy_measure_pairs 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, Sigma must not become larger than approx. 0.5 * Length1 (for Length1 see gen_measure_rectangle2).

It should be kept in mind that fuzzy_measure_pairs ignores the domain of Image 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.

Parallelization

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Processed without parallelization.

Parameters

Image (input_object)  singlechannelimage object (byte / uint2 / real)

Input image.

MeasureHandle (input_control)  measure_id (integer)

Measure object handle.

Sigma (input_control)  number (real)

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 ≤ 100 (lin)

Minimum increment: 0.01

Recommended increment: 0.1

Restriction: Sigma >= 0.4

AmpThresh (input_control)  number (real)

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 ≤ 255 (lin)

Minimum increment: 0.5

Recommended increment: 2

FuzzyThresh (input_control)  number (real)

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 ≤ 1.0 (lin)

Recommended increment: 0.1

Transition (input_control)  string (string)

Select the first gray value transition of the edge pairs.

Default value: 'all'

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

RowEdgeFirst (output_control)  point.y-array (real)

Row coordinate of the first edge point.

ColumnEdgeFirst (output_control)  point.x-array (real)

Column coordinate of the first edge point.

AmplitudeFirst (output_control)  real-array (real)

Edge amplitude of the first edge (with sign).

RowEdgeSecond (output_control)  point.y-array (real)

Row coordinate of the second edge point.

ColumnEdgeSecond (output_control)  point.x-array (real)

Column coordinate of the second edge point.

AmplitudeSecond (output_control)  real-array (real)

Edge amplitude of the second edge (with sign).

RowEdgeCenter (output_control)  point.y-array (real)

Row coordinate of the center of the edge pair.

ColumnEdgeCenter (output_control)  point.x-array (real)

Column coordinate of the center of the edge pair.

FuzzyScore (output_control)  real-array (real)

Fuzzy evaluation of the edge pair.

Distance between edges of an edge pair.

InterDistance (output_control)  real-array (real)

Distance between consecutive edge pairs.

Result

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