New PDF release: Advances in Electronics and Electron Physics, Vol. 67

By Peter W. Hawkes (ed.)

ISBN-10: 0120146673

ISBN-13: 9780120146673

This quantity comprises overview articles masking a large variety of themes in photo processing and research. the subjects lined comprise photo research - which has united and harmonized a bunch of heterogeneous fabric; modern techniques to the Fourier remodel; quantity theoretic transforms, that are fairly beautiful for discrete, finite indications; using the Wigner distribution - which encodes either spatial and spectral info, for snapshot filtering; and functions of the concept that of knowledge strength. those updated surveys are meant to supply the reader with entry to the most recent leads to the tremendous energetic box of photo technology.

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Extra resources for Advances in Electronics and Electron Physics, Vol. 67

Example text

For instance, the only possible hint of Fig. 3b apparent in Fig. 4b is found in the fuzzy background. We must somehow contrive to transform this background into Fig. 3b, simultaneously obliterating the version of Fig. 3a which dominates Fig. 4b. C, have the power to effect such transformations. It is all very remarkable and is certainly not completely understood as yet. Since positivity is clearly so important for practical phase retrieval, we summarize in Table 111 those physical situations in which positive images occur.

The connection between visibility space and image space is by Fourier transformation. C we discuss versions of Y(u,u) which are computed from the given visibility intensity. Here, we discuss only the most rudimentary initial phase estimates. , Y(u,u) has the same value (zero being most convenient) for all u and u. Setting Y(u,u) = 0 is often unsatisfactory, however, for the following reason. Note, first, that the phase of I(u,u) is zero and, second, that its Fourier transform is the autocorrelation of the image, as follows from Eqs.

T. BATES AND D. 13. A. TWO-DIMENSIONAL PHASE PROBLEMS FIG. 13 (continued) 39 40 R H. T. BATES AND D. MNYAMA no sudden, catastrophic deterioration such as usually occurs, for instance, when one attempts extrapolation in the presence of noise. , 1984),does of course greatly enhance the practical significance of Fourier phase retrieval algorithms. A how the effects of noise can be ameliorated in part by preprocessing, thereby permitting the reconstruction of image-forms more faithful than those shown in Figs.

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


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