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[Studies in Computational Intelligence 481] Artur Babiarz, Robert Bieda, Karol Jędrasiak, Aleksander Nawrat (auth.), Aleksander Nawrat, Zygmunt Kuś (eds.) - Vision Based Systemsfor UAV Applications (2013, Sprin

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258 H. Josiński et al.<br />

paths classification: statistical, histogram, Fourier transform and timel<strong>in</strong>e. The<br />

features can be calculated by us<strong>in</strong>g dimensionality reduction techniques [24]. The<br />

classical approaches of dimensionality reduction of motion data do the work at<br />

the level of the pose descriptors. In [19] on the basis of distances between the<br />

selected body parts, the feature vectors of b<strong>in</strong>ary silhouettes are extracted and the<br />

first two pr<strong>in</strong>cipal components are chosen. In [10] l<strong>in</strong>ear PCA and <strong>in</strong> [15] nonl<strong>in</strong>ear<br />

manifold learn<strong>in</strong>g is applied prior to the classification with HMM. In [21]<br />

and [19] DTW follows by the reduction of pose descriptors by PCA of feature<br />

vectors calculated for video and motion capture data, respectively. In [18] a modified<br />

ICA is used for skeletons of b<strong>in</strong>ary silhouettes. Other examples can be found<br />

<strong>in</strong> [12], [8] and [11].<br />

Recently the multil<strong>in</strong>ear reduction methods for tensor objects have ga<strong>in</strong>ed more<br />

attention. They allow to reduce multi-dimensional objects <strong>in</strong>dexed by multiple<br />

<strong>in</strong>dices. The motion sequences are addressed by the frame number and spatial<br />

coord<strong>in</strong>ates, which means that the entire sequences can be reduced, not only the<br />

pose descriptors. In [16] the MPCA method is used for the detected cycles of b<strong>in</strong>ary<br />

silhouettes and the classification is performed by selected distance functions.<br />

The MPCA reduction is also extended by LDA method. The application of MPCA<br />

to the classification of motion capture data by supervised learn<strong>in</strong>g can be found <strong>in</strong><br />

[22]. In [14] mutlil<strong>in</strong>ear ICA and <strong>in</strong> [17] uncorrelated MPCA are applied to face<br />

recognitions.<br />

It is very challeng<strong>in</strong>g task to propose small number of features without loss of<br />

<strong>in</strong>dividual data. Thus, feature vectors are usually def<strong>in</strong>ed <strong>in</strong> high dimensional<br />

spaces, which makes the classification more difficult and less reliable. However, it<br />

is still possible to discover a feature subset sufficient for precise motion data<br />

classification by a proper search method. That is ma<strong>in</strong> contribution of presented<br />

research. We apply supervised feature selection for extracted features of video<br />

sequences. The effectiveness of selection is evaluated by obta<strong>in</strong>ed compression<br />

rate and accuracy of a classification.<br />

On the basis of our previous work [6] we decided to extract features of video<br />

record<strong>in</strong>gs data by MPCA technique and classify them by supervised mach<strong>in</strong>e<br />

learn<strong>in</strong>g. To reduce the dimensionality of feature space and discover most <strong>in</strong>formative<br />

ones the selection is carried out, prior to classification phase. Similar as <strong>in</strong><br />

[6] CASIA gait database is used to exam<strong>in</strong>e proposed identification method.<br />

2 Gait Data Representation<br />

Portions of the research <strong>in</strong> this paper use the CASIA Gait Database collected by<br />

the Institute of Automation, Ch<strong>in</strong>ese Academy of Sciences. The database conta<strong>in</strong>s<br />

raw video record<strong>in</strong>gs as well as extracted b<strong>in</strong>ary silhouettes by background subtraction<br />

(see Fig. 1). The data could be used as a basis for markerless motion capture<br />

[23].

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