BLADE's Best Custom Knives: The Best Custom Knives of by Blade Editors

By Blade Editors

This selection of articles marks the fortieth anniversary of BLADE. half one covers the years 1973-1988; half , 1989-2000; and half 3, 2001-2012.

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Additional info for BLADE's Best Custom Knives: The Best Custom Knives of BLADE's First 40 Years

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6 Similarity images obtained when matching the template of Fig. 2a to windows in the image of Fig. 2b using (a) Spearman’s Rho, and (b) Kendall’s Tau. The best-match position of the template within the image in each case is encircled and Nelsen [27], and Kendall [42] have shown that when X and Y are independent, ρ/τ approaches 3/2 as n approaches infinity. This result implies that Spearman’s ρ and Kendall’s τ have the same discrimination power when comparing images of different scenes. Kendall’s τ and Spearman’s ρ both measure the association between two ordinal variables [31].

2b is used as the image. The similarity images obtained by Spearman’s ρ and Kendall’s τ are shown in Figs. 6b, respectively. Compared to the similarity images obtained so far we see that the similarity images obtained by Spearman’s ρ and Kendall’s τ show most distinct peaks at the best-match position, and among the two, the Kendall’s peak is more distinct. Kendall’s τ is one of the costliest similarity measures tested in this chapter. It requires computation of the concordants and discordants out of n(n − 1)/2 combinations of corresponding intensity pairs in images of size n pixels.

27) xi where xi shows an entry in X with intensity i, and Y [xi ] shows the intensity at the corresponding entry in Y , and ni is the number of entries in X with intensity i. mi is the mean of intensities in Y corresponding to intensity i in X. σi measures the scatter of intensities in Y that map to intensity i in X. 1 Similarity Measures 21 and variance of σi for i = 0, . . , 255 will be D = 2 where n = 255 i=0 ni . 29) , i=0 Then, correlation ratio of Y on X is defined by ηyx = 1 − D2. 30) ηyx lies between 0 and 1 and ηyx = 1 only when D = 0, showing no variance in intensities of Y when mapping to intensities in X, and that implies a unique mapping from X to Y .

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