On Visual Semantic Algebra (VSA) and the cognitive process of pattern recognition

A new form of denotational mathematics known as visual semantic algebra (VSA) is presented for abstract visual object and architecture manipulation. The cognitive theories for pattern recognition, such as cognitive principles of visual perception and basic mechanisms of object and pattern recognition, are explored. A number of case studies on VSA in pattern recognition are presented to demonstrate VAS´ expressive power for algebraic manipulation of visual objects. The cognitive process of pattern recognition is rigorously modeled using VSA and real-time process algebra (RTPA), which reveals the fundamental mechanisms of natural pattern recognition by the brain. The theories and case studies demonstrate that VSA can be applied not only in machine visual and spatial reasoning, but also in computational intelligence system designs as a powerful man-machine language for representing and manipulating visual geometrical systems. On the basis of VSA, computational intelligence systems such as robots and cognitive computers may process and inference visual and image object rigorously and efficiently.