By Peter W. Hawkes (ed.)
This quantity includes evaluation articles masking a vast diversity of issues in picture processing and research. the subjects coated contain picture research - which has united and harmonized a bunch of heterogeneous fabric; modern methods to the Fourier rework; quantity theoretic transforms, that are really appealing for discrete, finite indications; using the Wigner distribution - which encodes either spatial and spectral details, for snapshot filtering; and purposes of the concept that of data power. those updated surveys are meant to supply the reader with entry to the newest leads to the super energetic box of snapshot technology.
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Additional resources for Advances in Electronics and Electron Physics, Vol. 67
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. 13a, 13b, and 13c.
Image-forms reconstructed by five Gerchberg-Saxton iterations, starting with direct pseudo-random initial phase estimates. (a) Puffin with N = 1, (b) starfield with N = 1, (c) puffin with N = 2, (d) starfield with N = 2. 7 (continued) 29 30 R. H. T. BATES A N D D. MNYAMA FIG. 8. Image-forms reconstructed by 20 Fienup error-reduction iterations, for N = 2, starting with direct pseudo-random initial phase estimates. (a) Puffin, (b) starfield. TWO-DIMENSIONAL PHASE PROBLEMS 31 f5ctors a and fl are both positive constants in the range 0 to 1.
The fog in Fig. 26 can be reduced further by employing several hybrid input-output iterations. The refogging tends to ensure that the reconstructed image-forms satisfy the positivity constraint. F. Consequences of Noninteger Oversampling When Image Box Is Known a Priori While the positivity constraint is essential for realistic phase retrieval in practice, some oversampling (as categorized by the symbol N introduced in Section ILC) of the visibility intensity is also usually neccessary. The reason why N must be greater than 2 in general is because we have to deduce the size of the image box from the data.