  We study the effects of the spacial structure of localized losses in
weakly-interacting fermionic quantum wires. We show that multiple dissipative
impurities give rise to resonant effects visible in the transport properties
and the particles' momentum distribution. These resonances can enhance or
suppress the effective particle losses in the wire. Moreover, we investigate
the interplay between interactions and the impurity shape and find that,
differently from the coherent scatterer case, the impurity shape modifies the
scaling of the scattering probabilities close to the Fermi momentum. We show
that, while the fluctuation-induced quantum Zeno effect is robust against the
shape of the impurities, the fluctuation-induced transparency is lifted
continuously. This is reflected in the emergence of a continuous line of fixed
points in the renormalization group flow of the scattering probabilities.
