Random shapes occur in the theory of water waves and are visible on the ocean surface as well as in laboratory experiments. Image processing of these random shapes is quite challenging. This lecture will first describe these complex surfaces that are water waves. Then various applications where image processing is essential will be presented: detection and characterization of wave breaking in the ocean, detection of oil spills, damage caused by catastrophic storms and/or tsunamis, measurement of the instantaneous shape of an interface. Finally, given the geographical location of the present workshop, a few words will be said on the visual simulation of water waves for applications in the entertainment industry.
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