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Imagine the difference between the word crowd and an image of a crowd Although the word maps to the idea of a large group of people, the details of those people are not represented This is not the same for an image of a crowd where the details of each person in the crowd are visible This of course is an oversimplification of the image search problem but it helps to illustrate its complexity As a result of the complexity of these two factors (size and meaning/contents), search engines have relied on textbased metrics to rank images To make matters worse, these technical issues fail to address the social implications of image search Whereas most search queries are done with the intention of getting information, the queries where images are the best result tend to aid people in stealing images.

describes linear waves and does not constitute a linear problem because the mean solutions do not satisfy the mean equation. This is because hn2 r C r i 6 hn2 r ihC r i: 3:22

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In other words, the wave function and the refractive index are not statistically independent. If we try to evaluate hn2 r C r i, we must multiply (3.21) by n2 r and average afterwards; this will yield the form $hn2 r1 n2 r C r i, and so on. Keller [14] has obtained an equation for a functional generating the entire set of moments. This equation helps with new approximation procedures, but does not solve the problem. The fact that even the lowest order moment of the wave function hC r i depends upon the in nite set of moments of the refractive index that seems to make the problem hopelessly dif cult. However, it happens that in certain limiting cases, one may obtain solutions which do not depend upon the entire set of moments of the refractive index. Therefore, the perturbation method described in Section 3.2 gives the Bourret s equation, which depends only on the mean value and the covariance of the refractive index. It is only valid for wavelengths that are longer compared to the range of index correlations. Conversely, for the random Taylor expansion (see Section 3.5), we need only the probability distribution of the refractive index and some of its derivatives at one xed point. It is valid for wavelengths that are very short compared to the range of index correlations. Another case of great interest is when n2 r is a Gaussian random function. It is then possible to get an exact solution of (3.21) through functional integration, which gives all the moments of the wave functions in terms of a mean value and the

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[36] Valenzula, R, O Landron, and D Jacob, Estimating local mean signal strength of indoor multipath propagation, IEEE Trans Veh Tech vol 46, 1997, pp 203 212 [37] McKown, J, and R Hamilton, Ray tracing as a design tool for radio networks, IEEE Network Magazine, no 1, 1991, pp 27 30 [38] Fortune, S, Algorithms for the prediction of indoor radio propagation, http://cmbelllabscom/cm/cs/who/sjf/pubshtml, 1998 [39] Dietert, J E, and B Rembold, Stochastic channel model for outdoor applications based on raytrace simulations, in Proc of Millennium Conf Antennas and Propagat (AP2000), Davos, Switzerland, 2000 [40] Chong C-C, D I Laurenson, and S McLaughlin, Statistical characterization of the 52 GHz wideband directional indoor propagation channels with clustering and correlation properties, in Proc IEEE Vehicular Technol Conf (VTC 2002-Fall), Vancouver, BC, Canada, vol 1, 2002, pp 629 633 [41] Ertel, R B.

, and J H Reed, Angle and time of arrival statistics for circular and elliptical scattering models, IEEE J Select Areas Communic, vol 17, 1999, pp 1829 1840 [42] Constantinou, C C, and L C Ong, Urban radio propagation: A 3-D path-integral wave analysis, IEEE Trans Antennas Propagat, vol 46, no 2, 1998, pp 266 270 [43] Kanatas, A G, I D Kountouris, G B Kostraras, et al, A UTD propagation model in urban microcellular environments, IEEE Trans Veh Technol, vol 46, no 1, 1997, pp 185 193 [44] Erceg, V, S J Fortune, G Ling et al, Comparisons of a computer-based propagation prediction tool with experiment data collected in urban microcellular environments, IEEE J Select Areas Communic, vol 15, 1997, pp 677 684 [45] Kim, S C, B J Guarino, Jr, T M Willis III, et al.

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