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e178-04L5

e178-04L5 - Sampling and Quantization Lecture#5 Sampling...

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Sampling and Quantization Lecture #5 January 20, 2004

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Jan 20, 2004 Sampling 2 Sampling and Quantization ° Spatial Resolution (Sampling) ± Determines the smallest perceivable image detail. ± What is the best sampling rate? ° Gray-level resolution (Quantization) ± Smallest discernible change in the gray level value. ± Is there an optimal quantizer?
Jan 20, 2004 Sampling 3 Image sampling and quantization In 2-D f(x,y) (Continuous image) Sampler f s (m,n) Quantizer u(m,n) To Computer

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Jan 20, 2004 Sampling 4 1-D 1− D x(t) Time domain X(u) Frequency T s(t) x s (t) = x(t) s(t) = Σ x(kt) δ (t-kT) s(t) 1/T 1/T X s (f)
Jan 20, 2004 Sampling 5 2-D: Comb function y comb(x,y; x ,∆ y ) x x y Comb( , ; , ) ( , ) x y x y x m x y n y n m =−∞ =−∞ δ

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Jan 20, 2004 Sampling 6 Sampled Image f x y f x y x y x y f m x n y x m x y n y x y x y u v x y u v x y s n m ( , ) ( , ) ( , ; , ) ( , ) ( , ) ( , ; , ) ( , ) , ; , ) = = ← → = =−∞ =−∞ comb comb COMB comb( ∆ ∆ δ 1 1 1
Jan 20, 2004 Sampling 7

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