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A new imaging algorithm is introduced and applied for inspection of damages in pipes employing ultrasonic guided waves. The algorithm is based on the decomposition of the time-reversal operator (DORT, in its French acronym) and is demonstrated using both simulations and experiments. Its performance is compared against more traditional time-reversal imaging algorithms. The proposed algorithm is shown to be effective to determine the number and relative location of multiple small damages in pipes with good resolution. Keywords: Decomposition of the time-reversal operator, Space frequency, Time-reversal, Damage imaging, Super-resolution