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By Ageev A.A.

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Notice that, when the elementary cell of the periodic pattern covers ✒ is computed more than one pixel ( ✒ ✆ and/or ✕ ✆ ), a different ✥ ✼ realizations is ✕ sub-cell shift. The total number of ✏ for every ✒ thus multiplied by the size of the cell. 9: Probability mass functions and probability of false detection ( ☎ ✠ ). 20 is quite verified. Pattern structure produces normally distributed variable. Indeed samples originating from distant location in the image are uncorrelated. 10 shows the pdf of ✥ ✒ for different test images.

It enables reverse processing on the pattern. 34 Chapter 3. 5: Number of key combinations in function of N ✁ ✠ Let ✴❃ ❆ be the initial ordering of symbols in the sequence before construction of the pattern, that is after a possible permutation of the original sequence. An inverse operation consisting in reconstruction of a sequence ✠ ❃ ❆ from the pattern can be performed. It follows from the construction scheme that the reconstructed sequence is a circularly shifted version of whatever position is chosen as reference in the pattern.

The easiest way to perform perceptual masking is to apply local scaling to the watermark proportional to a local activity measure of the cover image. 13) Another perceptual consideration is the lower sensibility of the human eye to a change of luminance for darker luminance intensity levels. This effect is rendered by Weber’s law. A combination of Laplacian high pass filtering and Weber’s law based weighting was chosen as scaling factor ✠ for our method. g. on anisotropic wavelet decomposition analysis could be used.

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A 3/2-approximation algorithm for the jump number of interval orders by Ageev A.A.

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