SELF-SIMILARITY IN IMAGING, 20 YEARS AFTER “FRACTALS EVERYWHERE”

Self-similarity has played an important role in mathemat-ics and some areas of science, most notably physics. We briefly examine how it has become an important idea in imaging, with reference to fractal image coding and, more recently, other methods that rely on the local self-similarity of images. These include the more recent nonlocal meth-ods of image processing. 1