![]() angularįrequency ω), or / and amplitude A. Where L is measured in distance units, the spatial frequency of the variationį(x) = A sin(ω x + θ) is similar to the above pure sineīut may differ in phase θ, period L = 2π/ω (i.e. L (in the above example L = 2π) is called the period, or cycleĪnd the frequency of variation is the reciprocal of the period. It consists of a fixed pattern or cycle (from x = 0 to x = 2π ≅ 6.28 Φ( x) = sin x General sinusoidal function x Simple 1D periodic function such as sine function φ( x) = sin x: To formally define the term "spatial frequency", let us consider a Such spectral representation sometimes simplifies image processing. Latter into a spatial representation f(x,y) are lossless, i.e. Representation: the direct conversion of a 2D spatial function f(x,y) into theĢD spectrum F(u,v) of spatial frequencies and the reverse conversion of the This dual representation by a spectrum ofĭifferent frequency components is completely equivalent to the conventional spatial Or colour variations over the image plane. ![]() Variations of grey values for different x-positionsĪn alternative image representation is based on spatial frequencies of grey value Each function describes how colours or grey values (intensities, Images are 2D functions f(x,y) in spatial coordinates ( x,y) Spatial Frequency Domain Spatial Frequency Domain
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