set_fuzzy_measure_norm_pairT_set_fuzzy_measure_norm_pairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPairset_fuzzy_measure_norm_pair (Operator)

Name

set_fuzzy_measure_norm_pairT_set_fuzzy_measure_norm_pairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPairset_fuzzy_measure_norm_pair — Specify a normalized fuzzy function for edge pairs.

Signature

Description

set_fuzzy_measure_norm_pairset_fuzzy_measure_norm_pairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPairSetFuzzyMeasureNormPairset_fuzzy_measure_norm_pair specifies a normalized fuzzy function passed in FunctionFunctionFunctionFunctionfunctionfunction. The specified fuzzy functions enables fuzzy_measure_posfuzzy_measure_posFuzzyMeasurePosFuzzyMeasurePosFuzzyMeasurePosfuzzy_measure_pos, fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs and fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing to evaluate and select the detected candidates of edges and edge pairs. For this purpose, weighting characteristics for different edge features can be defined by one function each. Such a specified feature is called fuzzy set. Specifying no function for a fuzzy set means not to use this feature for the final edge evaluation. Setting a second fuzzy function to a fuzzy set means to discard the first defined function and replace it by the second one. In difference to set_fuzzy_measureset_fuzzy_measureSetFuzzyMeasureSetFuzzyMeasureSetFuzzyMeasureset_fuzzy_measure, the abscissa x of these functions must be defined relative to the desired size s of the edge pairs (passed in PairSizePairSizePairSizePairSizepairSizepair_size). This enables a generalized usage of the defined functions. A previously defined normalized fuzzy function can be discarded completely by reset_fuzzy_measurereset_fuzzy_measureResetFuzzyMeasureResetFuzzyMeasureResetFuzzyMeasurereset_fuzzy_measure.

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

Functions for three different fuzzy set types selected by the SetTypeSetTypeSetTypeSetTypesetTypeset_type parameter can be defined, the sub types of a set being mutual exclusive:

• 'size'"size""size""size""size""size" denotes a fuzzy set that valuates the normalized distance of two edges of a pair in pixels:

  .

  Specifying an upper bound for the size by terminating the function with a corresponding fuzzy value of 0.0 will speed up fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs / fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing because not all possible pairs must be considered. Additionally, this fuzzy set can also be specified as a normalized size difference by 'size_diff'"size_diff""size_diff""size_diff""size_diff""size_diff"

  and a absolute normalized size difference by 'size_abs_diff'"size_abs_diff""size_abs_diff""size_abs_diff""size_abs_diff""size_abs_diff"

  .

• The fuzzy function of 'position'"position""position""position""position""position" evaluates the signed distance p of each edge candidate to the reference point of the measure object, generated by gen_measure_arcgen_measure_arcGenMeasureArcGenMeasureArcGenMeasureArcgen_measure_arc or gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2:

  .

  The reference point is located at the beginning whereas 'position_center'"position_center""position_center""position_center""position_center""position_center" or 'position_end'"position_end""position_end""position_end""position_end""position_end" sets the reference point to the middle or the end of the one-dimensional gray value profile, instead. If the fuzzy position valuation depends on the position of the object along the profile 'position_first_edge'"position_first_edge""position_first_edge""position_first_edge""position_first_edge""position_first_edge" / 'position_last_edge'"position_last_edge""position_last_edge""position_last_edge""position_last_edge""position_last_edge" sets the reference point at the position of the first/last extracted edge. When extracting edge pairs, the position of a pair is referenced by the geometric average of the fuzzy position scores of both edges.

• Similar to 'position'"position""position""position""position""position", 'position_pair'"position_pair""position_pair""position_pair""position_pair""position_pair" evaluates the signed distance of each edge pair to the reference point of the measure object. The position of a pair is defined by the center point between both edges. The object's reference can be set by 'position_pair_center'"position_pair_center""position_pair_center""position_pair_center""position_pair_center""position_pair_center", 'position_pair_end'"position_pair_end""position_pair_end""position_pair_end""position_pair_end""position_pair_end" and 'position_first_pair'"position_first_pair""position_first_pair""position_first_pair""position_first_pair""position_first_pair", 'position_last_pair'"position_last_pair""position_last_pair""position_last_pair""position_last_pair""position_last_pair", respectively. Contrary to 'position'"position""position""position""position""position", this set is only used by fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs/fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing.

A normalized fuzzy function is defined as a piecewise linear function by at least two pairs of values, sorted in an ascending order by their x value. The y values of the fuzzy function represent the weight of the corresponding feature value and must satisfy the range of 0.0 <= y <= 1.0. Outside of the function's interval, defined by the smallest and the greatest x value, the y values of the interval borders are continued constantly. Such Fuzzy functions can be generated by create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs.

If more than one set is defined, fuzzy_measure_posfuzzy_measure_posFuzzyMeasurePosFuzzyMeasurePosFuzzyMeasurePosfuzzy_measure_pos / fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs / fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing yield the overall fuzzy weighting by the geometric mean of the weights of each set.

Execution Information

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Processed without parallelization.

This operator modifies the state of the following input parameter:

• MeasureHandleMeasureHandleMeasureHandleMeasureHandlemeasureHandlemeasure_handle

During execution of this operator, access to the value of this parameter must be synchronized if it is used across multiple threads.

Parameters

Example (HDevelop)

* how to use a fuzzy function
* ...
gen_measure_rectangle2 (50, 100, 0, 200, 100, 512, 512, 'nearest_neighbor', \
                        MeasureHandle)
* create a generalized fuzzy function to evaluate edge pairs
* * (30% uncertainty).
create_funct_1d_pairs ([0.7,1.0,1.3], [0.0,1.0,0.0], SizeFunction)
* and set it for an expected pair size of 13.45 pixels
set_fuzzy_measure_norm_pair (MeasureHandle, 13.45, 'size', SizeFunction)

fuzzy_measure_pairs (Image, MeasureHandle, 1, 30, 0.5, 'all', RowEdgeFirst, \
                     ColumnEdgeFirst, AmplitudeFirst, RowEdgeSecond, \
                     ColumnEdgeSecond, AmplitudeSecond, RowEdgeCenter, \
                     ColumnEdgeCenter, FuzzyScore, IntraDistance, \
                     InterDistance)

Possible Predecessors

gen_measure_arcgen_measure_arcGenMeasureArcGenMeasureArcGenMeasureArcgen_measure_arc, gen_measure_rectangle2gen_measure_rectangle2GenMeasureRectangle2GenMeasureRectangle2GenMeasureRectangle2gen_measure_rectangle2, create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs

Possible Successors

fuzzy_measure_pairsfuzzy_measure_pairsFuzzyMeasurePairsFuzzyMeasurePairsFuzzyMeasurePairsfuzzy_measure_pairs, fuzzy_measure_pairingfuzzy_measure_pairingFuzzyMeasurePairingFuzzyMeasurePairingFuzzyMeasurePairingfuzzy_measure_pairing

Alternatives

transform_funct_1dtransform_funct_1dTransformFunct1dTransformFunct1dTransformFunct1dtransform_funct_1d, set_fuzzy_measureset_fuzzy_measureSetFuzzyMeasureSetFuzzyMeasureSetFuzzyMeasureset_fuzzy_measure

See also

reset_fuzzy_measurereset_fuzzy_measureResetFuzzyMeasureResetFuzzyMeasureResetFuzzyMeasurereset_fuzzy_measure

Module

1D Metrology