Two dimentional signal and image processing by Jae S. Lim

By Jae S. Lim

There are numerous photo processing books available in the market. yet what makes this booklet distinct is delivering profound wisdom approximately 2-D sign processing. such a lot of photo processing books simply comprise fancy photos and quick-n-dirty equations for hit-n-run humans. yet this publication offers a variety of algorithms, layout equipment, and illustrations when it comes to either one of 2-D sign and snapshot processing. Chapters for filter out layout are reliable examples. not like so much snapshot processing books, it offers comparative illustrations and reference concerning many mixtures of FIR, IIR, separable, non-separable, and zero-phase filtering in addition to their easy implementation equipment. This e-book isn't for undergrads or DSP begineers. if you happen to desire extra theoritcal backgrounds in 2-D sign and snapshot processing to resolve given difficulties, I absolutely think this booklet quenches the quriosities.

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As a result, q,(t) must be interpolated from the known slices of q,(t). In addition to the interpolation involved in both the direct Fourier transform method and the filtered back-projection method, a number of practical issues arise in reconstructing fc(t,, t,) from p,(t). For example, the Fourier transform, inverse Fourier transform, filtering, and integration require a discretization of the problem, which raises a variety of important issues, including sampling and aliasing. In practice, the measured function p,(t) may be only an approximate projection of f,(t,, t2).

In your answer, use a 2-D median filter of size 3 x 3, with the center of the window corresponding to the pixel being processed. (a) Is a median filter linear, shift invariant, and/or stable? (b) Using an example, illustrate that a median filter tends to preserve sharp discontinuities, such as steps. (c) Using an example, illustrate that a median filter is capable of eliminating impulsive values without seriously affecting the value of the pixel near those with the impulsive values. A pixel has an impulsive value when its value is significantly different from its neighborhood pixel values.

In this sketch, each point on the lzl axis corresponds to a 1-D contour in the z plane. l(c). In this sketch, the point at (lzll = 1, 1z21 = 1) corresponds to the 2-D unit surface, and each point in the (lzll, 1z21)plane corresponds to a 2-D subspace in the 4-D ( z , , 2,) space. The R O C plays an important role in the z-transform representation of a sequence, as we shall see shortly. 66 The z-Transform Chap. 2 Examples of the z-Transform Example 1 We wish to determine the z-transform and its ROC for the following sequence: x(n,, n,) = anlbn'u(n,,n,).

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