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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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234 H. Josiński et al.<br />

However, <strong>in</strong> a development phase of a human identification system gait databases,<br />

such as CASIA, CMU MoBo, NIST/USF, Soton, UMD, can be also used as data<br />

sources for classification purposes.<br />

Motion data lie <strong>in</strong> high-dimensional space. It is stated <strong>in</strong> [3] that many<br />

classifiers perform poorly <strong>in</strong> high-dimensional spaces given a small number of<br />

tra<strong>in</strong><strong>in</strong>g samples. Thus, feature extraction or dimensionality reduction is an<br />

attempt to transform a high-dimensional data <strong>in</strong>to a low-dimensional equivalent<br />

representation while reta<strong>in</strong><strong>in</strong>g most of the <strong>in</strong>formation regard<strong>in</strong>g the underly<strong>in</strong>g<br />

structure or the actual physical phenomenon [4].<br />

The research was aimed at verification of the hidden Markov model (HMM)<br />

accuracy as a gait video data classifier as well as at comparative analysis of<br />

quality of l<strong>in</strong>ear and non-l<strong>in</strong>ear methods of dimensionality reduction with regard<br />

to classification of reduced gait data.<br />

Generally, gait-based identification approaches can be divided <strong>in</strong>to two<br />

categories: model-free and model-based. The former category can be split <strong>in</strong>to<br />

approaches based on a mov<strong>in</strong>g shape and those which use <strong>in</strong>tegrate shape and<br />

motion with<strong>in</strong> the description [2]. In the first example of the model-free approach<br />

silhouettes of walk<strong>in</strong>g human be<strong>in</strong>gs were extracted from <strong>in</strong>dividual frames us<strong>in</strong>g<br />

background subtraction, their morphological skeletons were computed and the<br />

modified <strong>in</strong>dependent component analysis (MICA) was proposed to project the<br />

orig<strong>in</strong>al gait features from a high-dimensional measurement space to a lowerdimensional<br />

eigenspace. Subsequently, the L2 norm was used to measure the<br />

similarity between transformed gaits [5]. The pr<strong>in</strong>cipal components analysis<br />

(PCA) was also used for the purpose of human recognition [6], [7]. In the latter<br />

case three types of motion: slow walk<strong>in</strong>g, fast walk<strong>in</strong>g and walk<strong>in</strong>g with a ball<br />

were taken <strong>in</strong>to consideration. In [8] the recognition process was based on<br />

temporal correlation of silhouettes, whereas a spatio-temporal gait representation,<br />

called gait energy image (GEI), was proposed <strong>in</strong> [9]. The application of the<br />

Procrustes shape analysis method and the Procrustes distance measure <strong>in</strong> gait<br />

signature extraction and classification was shown <strong>in</strong> [10]. Numerous studies, <strong>in</strong>ter<br />

alia [11], [12], present frameworks developed for recognition of walk<strong>in</strong>g persons<br />

based on the dynamic time warp<strong>in</strong>g technique (DTW).<br />

The model-based approaches use <strong>in</strong>formation about the gait, determ<strong>in</strong>ed either<br />

by known structure or by model<strong>in</strong>g [2]. The Acclaim ASF/AMC format is often<br />

applied as the skeleton model of the observed walk<strong>in</strong>g person. Numerous methods<br />

aim to estimate the model directly from two-dimensional images. In [13] the<br />

particle swarm optimization algorithm (PSO) is used to shift the particles toward<br />

more promis<strong>in</strong>g configurations of the human model. In [14] 2D motion sequences<br />

taken from different viewpo<strong>in</strong>ts are approximated by the Fourier expansion. Next,<br />

the PCA is used to construct the 3D l<strong>in</strong>ear model. Coefficients derived from<br />

project<strong>in</strong>g 2D Fourier representation onto the 3D model form a gait signature.<br />

Another set of features used for human identification is extracted from spatial<br />

trajectories of selected body po<strong>in</strong>ts of a walk<strong>in</strong>g person (root of the skeleton, head,<br />

hands, and feet), named as gait paths [15].

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