  We examine the snapshot entropy of general fractal images defined by their
singular values. Remarkably, the singular values for a large class of fractals
are in exact correspondence with the entanglement spectrum of free fermions in
one dimension. These fermions allow for a holographic interpretation of the
logarithmic scaling of the snapshot entropy, which is in agreement with the
Calabrese-Cardy formula. However, the coarse-grained entropy exhibits a linear
scaling due to the degeneracy of the spectrum, in contrast with the logarithmic
scaling behavior in one-dimensional quantum near-critical systems.
