In 1960, E. Wigner published a paper entitled "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". Theoretical mathematical structures pave the way to further advances and empirical predictions in applied sciences. Recently, for instance, applications of topology were discussed in Why does topology rarely come up outside of topology?, in the domain of data science, or data analysis/mining.
I recently read basic papers on tropical geometry (above picture origin); max-plus algebra bears similarities with image processing with mathematical morphology, but I have not seen clear connections yey. Are there interesting potential applications of this field in applied domains?