Abstract
An electroencephalogram (EEG) is examined as an image limited by a polygonal contour. A sequence of elementary vectors presented in analytical form, which approximates the contour line, is accepted as an electroencephalogram model. A concept on a fine structure in the electroencephalogram as a set of elementary vectors that defines the segmented parts obtained as a result of electroencephalogram decomposition is introduced. The expressions for a measure of similarity of two segments of the fine structure in a form of magnitude of their normalized scalar product are obtained. An example on detecting and analyzing the "Sleep Spindle" pattern, which is observed in the frequency range of 9---13 Hz, by using the contour model, is presented.
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