Fourier series

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  • noun

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the sum of a series of trigonometric expressions

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The paper, through the eye-movement experiment, obtains characteristics that influence product style, utilizes shape grammar to extract the contour of feature elements and transforms it to two-dimensional closed curve, then makes similarity analysis on different feature elements via Fourier decomposition.
To deal with that problem, the paper uses Fourier decomposition to parameterize designing elements.
Elliptical Fourier decomposition was chosen for this study because it does not require that points on the outline of the specimen be equally spaced (Crampton, 1995), thus allowing greater sampling from sections of complex shape or high variability of curvature.
In this technique, the Fourier decomposition of the FET response to transient excitations is employed.
This method, which essentially implements a Fourier decomposition of the video frames in time, distinguishes the stationary background from the dynamic foreground by differentiating between the near-zero modes and the remaining modes bounded away from the origin, respectively.