Advances in Imaging and Electron Physics, Vol. 118, Edition: by Peter W. Hawkes (Ed.)

By Peter W. Hawkes (Ed.)

The 4 surveys contained during this quantity illustrate extensively diversified points of imaging and electron physics. the 1st chapters tackle functions of electron microscopy, together with the function of this method in mineralogy and a examine of the excessive- solution electron microscopy of quasicrystals. The latter is admittedly a quick monograph offering the underlying crystallography and explaining intimately how the corresponding photos and diffraction styles might be interpreted. The 3rd contribution is an account of a brand new method of deconvolution in photo processing within which the writer, via associating a polynomial with the gray-level values of (discrete) photos, exhibits that it really is attainable to invert the convolutional relation that describes many varieties of picture formation. the quantity ends with a close dialogue of the twin de Broglie wave, together with a serious account of recent advancements within the debate over the lifestyles and position of this type of wave.

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The reduced magnetization is deÞned in accordance with Eq. (26). This formulation includes the direct saturation of the ÒaÓspins, and therefore is applicable at relatively small offset frequencies, including the frequencies that have been utilized for in vivo magnetization transfer experiments (Wu, 1991; Bryant and Lester, 1993). F. Analytic Solutions of Coupled Bloch Equations In the previous section three possible analytical models were proposed to describe the two-site magnetic exchange network.

This calculation forms the basis of some quantitative magnetization transfer imaging (MTI) applications that have been proposed and demonstrated (Wolff and Balaban, 1989). However, the accuracy of exchange rate estimates using this method is highly dependent upon the validity of the assumption of complete selective saturation MRI AND MAGNETIZATION TRANSFER 43 of the bound spins with no effects of off-resonance irradiation on the free spins (Yeung, 1993). In the slow exchange case discussed earlier, the observed T1a is in general approximately equal to τ1a and therefore the T1sat measurement may not be signiÞcantly different from T1 without saturation.

Figure 15. The general detailed balance condition for a three-site network. This exchange network can also be referred to as a maximally connected three-site network. Figure 16. (a) A special case of detailed balance in a system that is not maximally connected. This network corresponds to a system with two independent bound sites, both exchanging with the free water but not with each other. (b) A network that is the mathematical equivalent of (a). The free spins are labeled A and the exchange occurs between free spins A and bound spins C via intermediate spins B.

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