Table 1: Eigenvalue relationships defining the characteristic morphologies. The $\lambda$ -conditions describe objects with intensity higher than their local background as clusters, filaments or walls. For voids we would have to reverse the sign of the eigenvalues.
Structure $\lambda$ ratios $\quad$ $\lambda$ constraints

Blob $\lambda_1 \simeq \lambda_2 \simeq \lambda_3$ $\lambda_3 <0 ;~~ \lambda_2 <0 ;~~ \lambda_1 <0$

Filament $\lambda_1 \simeq \lambda_2 \gg \lambda_3$ $\lambda_3 <0 ;~~ \lambda_2 <0$

Sheet $\lambda_1 \gg \lambda_2 \simeq \lambda_3$ $\lambda_3 <0$

**Table 1:** Eigenvalue relationships defining the characteristic morphologies. The $\lambda$ -conditions describe objects with intensity higher than their local background as clusters, filaments or walls. For voids we would have to reverse the sign of the eigenvalues.
Structure	$\lambda$ ratios	$\quad$ $\lambda$ constraints
Blob	$\lambda_1 \simeq \lambda_2 \simeq \lambda_3$	$\lambda_3 <0 ;~~ \lambda_2 <0 ;~~ \lambda_1 <0$
Filament	$\lambda_1 \simeq \lambda_2 \gg \lambda_3$	$\lambda_3 <0 ;~~ \lambda_2 <0$
Sheet	$\lambda_1 \gg \lambda_2 \simeq \lambda_3$	$\lambda_3 <0$

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