Advances in Electronics and Electron Physics, Vol. 67 by Peter W. Hawkes (ed.)

By Peter W. Hawkes (ed.)

This quantity comprises evaluate articles protecting a huge diversity of themes in picture processing and research. the subjects lined contain photo research - which has united and harmonized a number of heterogeneous fabric; modern techniques to the Fourier remodel; quantity theoretic transforms, that are quite beautiful for discrete, finite signs; using the Wigner distribution - which encodes either spatial and spectral details, for snapshot filtering; and purposes of the concept that of data strength. those up to date surveys are meant to supply the reader with entry to the newest leads to the super energetic box of picture technological know-how.

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We call this the direct pseudo-random initial phase estimate. Another relatively simple kind of pseudo-random Y(u,u) is constructed in the following way. C) is constructed by taking, for each pair of values of m and n corresponding to pixels within B(x,y), NU, U)I +-+ .. (30) where a,,,n and Om,n are independent pseudo-random numbers, the former being positive and the latter real. Their ranges and pdf are chosen to accord with whatever a priori information is available. For instance, if the image is known to be positive, each is set to zero.

A) (F,(u,O)(;(b) 1F,(O, u)l; (c) IF2(u,0)I;(d) IF2(0,u)l. Note that the fringe frequency in (a) and (b) is greater than in (c) and (d). by E - ( v )and defined by (37) B(x. Y I N) where v can be any positive number, but is usually set equal to 1 (defines the magnitude error) or 2 (defines the intensity error). A) we are given the true If(x, y)]. B), therefore, it makes sense to introduce the Gerchberg-Saxton inside TWO-DIMENSIONAL PHASE PROBLEMS error, denoted by &(v) &(V) 35 and defined by = N (If(x, y)l - I k Y)l)’ dx dY (38) B(x.

23. Stafield with partial fog superimposed (this is called the partially foggy starfield). 24. Profiles through magnitudes of visibilities of partially foggy starfield, along positive u-axis. (a) Visibility of image shown in Fig. Subscripts F and D F as for Fig. 21. obtained after further error-reduction iterations, using the original visibility magnitudes, starting with the visibilty phases corresponding to Figs. 21a and 24a, respectively. In Fig. 26, the detail in the original image (Fig. 20) is apparent.

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