  The formation of coherent structures in noise driven phenomena and in
Turbulence is a complex and fundamental question. A particulary important
structure is the so-called Rogue Wave (RW) that arises as the sudden appearance
of a localized and giant peak. First studied in Oceanography, RWs have been
extensively investigated in Optics since 2007, in particular in optical fibers
experiments on supercontinua and optical turbulence. However the typical time
scales underlying the random dynamics in those experiments prevented --up to
now-- the direct observation of isolated RWs. Here we report on the direct
observation of RWs, using an ultrafast acquisition system equivalent to
microscope in the time domain. The RWs are generated by nonlinear propagation
of random waves inside an optical fiber, and recorded with $\sim 250$~fs
resolution. Our experiments demonstrate the central role played by
"breathers-like" solutions of the one-dimensional nonlinear Schr\"odinger
equation (1D-NLSE) in the formation of RWs
