Texture is a ubiquitous cue in visual perception. Like gravity in physics, texture perception has always been one of the core problems in vision. For example, textural patterns were the central topics in Gestalt psychology, early vision theory, and Marr's primal sketch. It was also generally acknlowdged that there should be a continous spectrum from textural patterns to geometric patterns (shapes). Therefore texture studies should shed some lights on shape modeling --- another core problem in vision. The past five years witnessed exciting development on texture studies in both fundamental theories and practical application. Research ideas are merging from computer vision, graphics, modern statistical physics, psychology and neurosciences to form a coherent theme in texture study. This web page intends to provides a short tour to various research streams and theories, and show how these streams are merged into a unifying and coherent theory. The following are ten important topics in texture theories and applications. 0): Julesz ensemble --- a mathamtical definition of texture. 1): Ensemble Equivalence --- from conceptualization to modeling (Markov random field, minimax entropy). 2): Minimax entropy --- A theory for descriptive learning. 3): Human vision insights --- The far end of science is art. 4): Gestalt ensemble --- Gestalt theory from perspective of modern statistical physics. 5): Texture synthesis --- the graphics excitement. 6): Computational issues --- algorithms for estimating and learning. 7): Generative models --- a big picture: an integrated learning paradigm for vision. 8): Dynamic texture or textured motion --- the next frontier. 9): Summary --- hostoric merges of good ideas and research streams. Other relevant topics:
Reference: . K. Koffka, Principles of Gestalt Psychology, Harcourt, Bruce and Company, NY, 1935. . B. Julesz, Dialogues on Perception, Bradford Books, 1995. . D. Marr, Vision, W. H. Freeman and Company, 1982.