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Author: Peter Mowforth Source: UCI - Please cite: Siebert,JP. Turing Institute Research Memorandum TIRM-87-018 "Vehicle Recognition Using Rule Based Methods" (March 1987) NAME vehicle silhouettes PURPOSE to classify a given silhouette as one of four types of vehicle, using a set of features extracted from the silhouette. The vehicle may be viewed from one of many different angles. PROBLEM TYPE classification SOURCE Drs.Pete Mowforth and Barry Shepherd Turing Institute George House 36 North Hanover St. Glasgow G1 2AD CONTACT Alistair Sutherland Statistics Dept. Strathclyde University Livingstone Tower 26 Richmond St. GLASGOW G1 1XH Great Britain Tel: 041 552 4400 x3033 Fax: 041 552 4711 e-mail: alistair@uk.ac.strathclyde.stams HISTORY This data was originally gathered at the TI in 1986-87 by JP Siebert. It was partially financed by Barr and Stroud Ltd. The original purpose was to find a method of distinguishing 3D objects within a 2D image by application of an ensemble of shape feature extractors to the 2D silhouettes of the objects. Measures of shape features extracted from example silhouettes of objects to be discriminated were used to generate a class- ification rule tree by means of computer induction. This object recognition strategy was successfully used to discriminate between silhouettes of model cars, vans and buses viewed from constrained elevation but all angles of rotation. The rule tree classification performance compared favourably to MDC (Minimum Distance Classifier) and k-NN (k-Nearest Neigh- bour) statistical classifiers in terms of both error rate and computational efficiency. An investigation of these rule trees generated by example indicated that the tree structure was heavily influenced by the orientation of the objects, and grouped similar object views into single decisions. DESCRIPTION The features were extracted from the silhouettes by the HIPS (Hierarchical Image Processing System) extension BINATTS, which extracts a combination of scale independent features utilising both classical moments based measures such as scaled variance, skewness and kurtosis about the major/minor axes and heuristic measures such as hollows, circularity, rectangularity and compactness. Four "Corgie" model vehicles were used for the experiment: a double decker bus, Cheverolet van, Saab 9000 and an Opel Manta 400. This particular combination of vehicles was chosen with the expectation that the bus, van and either one of the cars would be readily distinguishable, but it would be more difficult to distinguish between the cars. The images were acquired by a camera looking downwards at the model vehicle from a fixed angle of elevation (34.2 degrees to the horizontal). The vehicles were placed on a diffuse backlit surface (lightbox). The vehicles were painted matte black to minimise highlights. The images were captured using a CRS4000 framestore connected to a vax 750. All images were captured with a spatial resolution of 128x128 pixels quantised to 64 greylevels. These images were thresholded to produce binary vehicle silhouettes, negated (to comply with the processing requirements of BINATTS) and thereafter subjected to shrink-expand-expand-shrink HIPS modules to remove "salt and pepper" image noise. The vehicles were rotated and their angle of orientation was measured using a radial graticule beneath the vehicle. 0 and 180 degrees corresponded to "head on" and "rear" views respectively while 90 and 270 corresponded to profiles in opposite directions. Two sets of 60 images, each set covering a full 360 degree rotation, were captured for each vehicle. The vehicle was rotated by a fixed angle between images. These datasets are known as e2 and e3 respectively. A further two sets of images, e4 and e5, were captured with the camera at elevations of 37.5 degs and 30.8 degs respectively. These sets also contain 60 images per vehicle apart from e4.van which contains only 46 owing to the difficulty of containing the van in the image at some orientations. ATTRIBUTES COMPACTNESS (average perim)2/area CIRCULARITY (average radius)2/area DISTANCE CIRCULARITY area/(av.distance from border)2 RADIUS RATIO (max.rad-min.rad)/av.radius PR.AXIS ASPECT RATIO (minor axis)/(major axis) MAX.LENGTH ASPECT RATIO (length perp. max length)/(max length) SCATTER RATIO (inertia about minor axis)/(inertia about major axis) ELONGATEDNESS area/(shrink width)2 PR.AXIS RECTANGULARITY area/(pr.axis length*pr.axis width) MAX.LENGTH RECTANGULARITY area/(max.length*length perp. to this) SCALED VARIANCE (2nd order moment about minor axis)/area ALONG MAJOR AXIS SCALED VARIANCE (2nd order moment about major axis)/area ALONG MINOR AXIS SCALED RADIUS OF GYRATION (mavar+mivar)/area SKEWNESS ABOUT (3rd order moment about major axis)/sigma_min3 MAJOR AXIS SKEWNESS ABOUT (3rd order moment about minor axis)/sigma_maj3 MINOR AXIS KURTOSIS ABOUT (4th order moment about major axis)/sigma_min4 MINOR AXIS KURTOSIS ABOUT (4th order moment about minor axis)/sigma_maj4 MAJOR AXIS HOLLOWS RATIO (area of hollows)/(area of bounding polygon) Where sigma_maj2 is the variance along the major axis and sigma_min2 is the variance along the minor axis, and area of hollows= area of bounding poly-area of object The area of the bounding polygon is found as a side result of the computation to find the maximum length. Each individual length computation yields a pair of calipers to the object orientated at every 5 degrees. The object is propagated into an image containing the union of these calipers to obtain an image of the bounding polygon. NUMBER OF CLASSES 4 OPEL, SAAB, BUS, VAN NUMBER OF EXAMPLES Total no. = 946 No. in each class opel 240 saab 240 bus 240 van 226 100 examples are being kept by Strathclyde for validation. So StatLog partners will receive 846 examples. NUMBER OF ATTRIBUTES No. of atts. = 18

19 features

Class (target)nominal4 unique values
0 missing
MAX.LENGTH_RECTANGULARITYnumeric66 unique values
0 missing
HOLLOWS_RATIOnumeric31 unique values
0 missing
KURTOSIS_ABOUT_MINORnumeric30 unique values
0 missing
KURTOSIS_ABOUT_MAJORnumeric41 unique values
0 missing
SKEWNESS_ABOUT_MINORnumeric23 unique values
0 missing
SKEWNESS_ABOUT_MAJORnumeric39 unique values
0 missing
SCALED_RADIUS_OF_GYRATIONnumeric143 unique values
0 missing
SCALED_VARIANCE_MINORnumeric424 unique values
0 missing
SCALED_VARIANCE_MAJORnumeric128 unique values
0 missing
COMPACTNESSnumeric44 unique values
0 missing
PR.AXIS_RECTANGULARITYnumeric13 unique values
0 missing
ELONGATEDNESSnumeric35 unique values
0 missing
SCATTER_RATIOnumeric131 unique values
0 missing
MAX.LENGTH_ASPECT_RATIOnumeric21 unique values
0 missing
PR.AXIS_ASPECT_RATIOnumeric37 unique values
0 missing
RADIUS_RATIOnumeric134 unique values
0 missing
DISTANCE_CIRCULARITYnumeric63 unique values
0 missing
CIRCULARITYnumeric27 unique values
0 missing

107 properties

846
Number of instances (rows) of the dataset.
19
Number of attributes (columns) of the dataset.
4
Number of distinct values of the target attribute (if it is nominal).
0
Number of missing values in the dataset.
0
Number of instances with at least one value missing.
18
Number of numeric attributes.
1
Number of nominal attributes.
0.26
Average class difference between consecutive instances.
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.DecisionStump -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.32
Error rate achieved by the landmarker weka.classifiers.trees.DecisionStump -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.57
Kappa coefficient achieved by the landmarker weka.classifiers.trees.DecisionStump -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.bayes.NaiveBayes -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.32
Error rate achieved by the landmarker weka.classifiers.bayes.NaiveBayes -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.57
Kappa coefficient achieved by the landmarker weka.classifiers.bayes.NaiveBayes -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.lazy.IBk -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.32
Error rate achieved by the landmarker weka.classifiers.lazy.IBk -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
0.57
Kappa coefficient achieved by the landmarker weka.classifiers.lazy.IBk -E "weka.attributeSelection.CfsSubsetEval -P 1 -E 1" -S "weka.attributeSelection.BestFirst -D 1 -N 5" -W
2
Entropy of the target attribute values.
0.65
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.DecisionStump
0.6
Error rate achieved by the landmarker weka.classifiers.trees.DecisionStump
0.21
Kappa coefficient achieved by the landmarker weka.classifiers.trees.DecisionStump
0.02
Number of attributes divided by the number of instances.
Number of attributes needed to optimally describe the class (under the assumption of independence among attributes). Equals ClassEntropy divided by MeanMutualInformation.
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.J48 -C .00001
0.31
Error rate achieved by the landmarker weka.classifiers.trees.J48 -C .00001
0.59
Kappa coefficient achieved by the landmarker weka.classifiers.trees.J48 -C .00001
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.J48 -C .0001
0.31
Error rate achieved by the landmarker weka.classifiers.trees.J48 -C .0001
0.59
Kappa coefficient achieved by the landmarker weka.classifiers.trees.J48 -C .0001
0.83
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.J48 -C .001
0.31
Error rate achieved by the landmarker weka.classifiers.trees.J48 -C .001
0.59
Kappa coefficient achieved by the landmarker weka.classifiers.trees.J48 -C .001
25.77
Percentage of instances belonging to the most frequent class.
218
Number of instances belonging to the most frequent class.
Maximum entropy among attributes.
58.38
Maximum kurtosis among attributes of the numeric type.
439.91
Maximum of means among attributes of the numeric type.
Maximum mutual information between the nominal attributes and the target attribute.
4
The maximum number of distinct values among attributes of the nominal type.
6.78
Maximum skewness among attributes of the numeric type.
176.69
Maximum standard deviation of attributes of the numeric type.
Average entropy of the attributes.
5.15
Mean kurtosis among attributes of the numeric type.
117.63
Mean of means among attributes of the numeric type.
Average mutual information between the nominal attributes and the target attribute.
An estimate of the amount of irrelevant information in the attributes regarding the class. Equals (MeanAttributeEntropy - MeanMutualInformation) divided by MeanMutualInformation.
4
Average number of distinct values among the attributes of the nominal type.
1.04
Mean skewness among attributes of the numeric type.
22.77
Mean standard deviation of attributes of the numeric type.
Minimal entropy among attributes.
-0.98
Minimum kurtosis among attributes of the numeric type.
6.38
Minimum of means among attributes of the numeric type.
Minimal mutual information between the nominal attributes and the target attribute.
4
The minimal number of distinct values among attributes of the nominal type.
-0.23
Minimum skewness among attributes of the numeric type.
2.59
Minimum standard deviation of attributes of the numeric type.
23.52
Percentage of instances belonging to the least frequent class.
199
Number of instances belonging to the least frequent class.
0.77
Area Under the ROC Curve achieved by the landmarker weka.classifiers.bayes.NaiveBayes
0.54
Error rate achieved by the landmarker weka.classifiers.bayes.NaiveBayes
0.28
Kappa coefficient achieved by the landmarker weka.classifiers.bayes.NaiveBayes
0
Number of binary attributes.
0
Percentage of binary attributes.
0
Percentage of instances having missing values.
0
Percentage of missing values.
94.74
Percentage of numeric attributes.
5.26
Percentage of nominal attributes.
First quartile of entropy among attributes.
-0.78
First quartile of kurtosis among attributes of the numeric type.
35.85
First quartile of means among attributes of the numeric type.
First quartile of mutual information between the nominal attributes and the target attribute.
0.25
First quartile of skewness among attributes of the numeric type.
6.17
First quartile of standard deviation of attributes of the numeric type.
Second quartile (Median) of entropy among attributes.
-0.44
Second quartile (Median) of kurtosis among attributes of the numeric type.
87.88
Second quartile (Median) of means among attributes of the numeric type.
Second quartile (Median) of mutual information between the nominal attributes and the target attribute.
0.5
Second quartile (Median) of skewness among attributes of the numeric type.
8.06
Second quartile (Median) of standard deviation of attributes of the numeric type.
Third quartile of entropy among attributes.
0.16
Third quartile of kurtosis among attributes of the numeric type.
178.18
Third quartile of means among attributes of the numeric type.
Third quartile of mutual information between the nominal attributes and the target attribute.
0.79
Third quartile of skewness among attributes of the numeric type.
31.68
Third quartile of standard deviation of attributes of the numeric type.
0.88
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.REPTree -L 1
0.32
Error rate achieved by the landmarker weka.classifiers.trees.REPTree -L 1
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.REPTree -L 1
0.88
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.REPTree -L 2
0.32
Error rate achieved by the landmarker weka.classifiers.trees.REPTree -L 2
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.REPTree -L 2
0.88
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.REPTree -L 3
0.32
Error rate achieved by the landmarker weka.classifiers.trees.REPTree -L 3
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.REPTree -L 3
0.79
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.RandomTree -depth 1
0.31
Error rate achieved by the landmarker weka.classifiers.trees.RandomTree -depth 1
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.RandomTree -depth 1
0.79
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.RandomTree -depth 2
0.31
Error rate achieved by the landmarker weka.classifiers.trees.RandomTree -depth 2
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.RandomTree -depth 2
0.79
Area Under the ROC Curve achieved by the landmarker weka.classifiers.trees.RandomTree -depth 3
0.31
Error rate achieved by the landmarker weka.classifiers.trees.RandomTree -depth 3
0.58
Kappa coefficient achieved by the landmarker weka.classifiers.trees.RandomTree -depth 3
0
Standard deviation of the number of distinct values among attributes of the nominal type.
0.79
Area Under the ROC Curve achieved by the landmarker weka.classifiers.lazy.IBk
0.32
Error rate achieved by the landmarker weka.classifiers.lazy.IBk
0.57
Kappa coefficient achieved by the landmarker weka.classifiers.lazy.IBk

11 tasks

0 runs - estimation_procedure: 20% Holdout (Ordered) - target_feature: Class
0 runs - estimation_procedure: 5 times 2-fold Crossvalidation - target_feature: Class
0 runs - estimation_procedure: 10% Holdout set - target_feature: Class
0 runs - estimation_procedure: 33% Holdout set - target_feature: Class
0 runs - estimation_procedure: 10 times 10-fold Crossvalidation - target_feature: Class
0 runs - estimation_procedure: Test on Training Data - target_feature: Class
0 runs - estimation_procedure: 10-fold Crossvalidation - target_feature: Class
0 runs - estimation_procedure: Leave one out - target_feature: Class
0 runs - estimation_procedure: 10-fold Learning Curve - target_feature: Class
0 runs - estimation_procedure: 10 times 10-fold Learning Curve - target_feature: Class
0 runs - estimation_procedure: Interleaved Test then Train - target_feature: Class
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