Michael Barnsley

Michael Barnsley is an Emeritus Professor at The Australian National University, affiliated with the MATH department. His research interests include fractal geometry, iterated function systems, and fractal transformations. He is known for his work on fractal interpolation, fractal imaging, and the development of fractal-based mathematical theories. Barnsley has contributed to numerous publications in journals such as Chaos, Solitons & Fractals, Journal of Approximation Theory, and Symmetry. His research has explored topics including fractal manifolds, fractal homeomorphisms, and the application of fractal geometry to image processing. He maintains an active online presence through his SuperFractals website and is associated with the Mathematical Sciences Institute at ANU.

Michael Fielding Barnsley is a Professor at the Australian National University, specializing in fractal geometry and dynamical systems. His research focuses on the mathematical foundations of fractals, including fractal functions, interpolation, and image compression. He has developed methods for constructing fractals using iterated function systems (IFS) and explored their applications in computer graphics and data compression. His work also includes the study of invariant measures for Markov processes and the use of chaos theory in image synthesis. Barnsley's contributions have significantly advanced the understanding of fractal structures and their practical applications in digital image processing.