Muography. Группа авторов

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Muography - Группа авторов


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density length, but in this paper, we first treat d i as the density length. Equation 2.1 can be represented by vectors ModifyingAbove normal d With right-arrow,ModifyingAbove normal rho With right-arrow, and the matrix A:

      where V(x i ) is the deviation of x i and Cov(x i , x j ) = E[(x i − E[x i ])(x j − E[x j ])] (E[x i ] is the expected value of the probability variable x i ) and qualitatively reflects the correlation between x i and x j .

      When solving for ModifyingAbove normal rho With right-arrow prime using equations 2.3 and 2.4, the systemis typically under‐determined, and thus every correlation Cov(ρ i , ρ j ) cannot be fixed. As such, we introduce another assumption into the density model. For the simplicity and effectivity for an under‐determined system, we may constrain the relationship between the i th and j th voxels as follows:


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