As he researched, he and his collaborators introduced many new types of fractals to model more complex things like trees or mountains. He furthered the idea of fractional dimension and later coined the term fractals from this revolutionary concept. Gaston Julia, Pierre Fatou, and Felix Hausdorff were some of the pioneers in this field that gave way to Mandelbrot's revolutionary ideas. His work inspired interest in the field of fractals and has made fractals a very popular field of study. Many theories and applications for fractals are just being discovered.
Image compression is just one of the innovative technologies fractals have found their way into.
Since pictures of natural objects can be modeled by fractals, it makes compressing pictures in terms of fractals very useful. One way is to define fractals as processes or images that exhibit self-similarity . In other words, reduced versions of the fractal appear throughout the fractal. For instance, look at the fractal fern below. Each branch of the fern is a reduced version of the entire fern.