Spatio-Temporal Complexity in Nonlinear Image Processing

James P. Crutchfield

Complexity Sciences Center and Physics Department
Department of Computer Science
University of California at Davis
Davis, CA 95616

ABSTRACT: This is a pictorial survey of pattern dynamics in video feedback and in related numerical models. After a short 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 dgnamical systems and nonlinear, iterative image processing.


J. P. Crutchfield, "Spatio-Temporal Complexity in Nonlinear Image Processing", IEEE Trans. Circuits Systems 35D:7 (1988) 770-780.
[pdf]