Spatio-temporal complexity in nonlinear image processing

A pictorial survey is presented of pattern dynamics in video feedback and in related numerical methods. After introduction to video feedback apparatus and concepts from dynamical systems theory, a range of phenomena are presented, from simple attractor types to homogeneous video turbulence. Examples of complex behavior include symmetry-locking chaos, spatial amplification of fluctuations in open flows, dislocations, phyllotaxis, spiral waves, and noise-driven oscillations. Video experiments on nonlinear transformations of the plane are also described. The survey closes with a discussion of the relationship between dynamical systems and nonlinear, iterative image processing. >