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Measured foliations at infinity of quasi-Fuchsian manifolds are a naturalanalog at infinity to the measured bending laminations on the boundary of itsconvex core. We show that given a pair of arational measured foliations$(\mathsf{F}_{+},\mathsf{F}_{-})$ which fill a closed hyperbolic surface $S$,for $t>0$ sufficiently small, $t\mathsf{F}_{+}$ and $t\mathsf{F}_{-}$ can beuniquely realised as the measured foliations at infinity of a quasi-Fuchsianmanifold homeomorphic to $S\times \mathbb{R}$, which is sufficiently close tothe Fuchsian locus. Here arationality means that the corresponding measuredlaminations are maximal. The proof is inspired by Bonahon's in\cite{bonahon05}which shows that a quasi-Fuchsian manifold close to the Fuchsian locus can beuniquely determined by the data of filling measured bending laminations on theboundary of its convex core. We also interpret the result in half-pipe geometry

Measured foliations at infinity of quasi-Fuchsian manifolds close to the Fuchsian locus