An approach for textures classification and definition by categories

Textures is one of the keys in image pattern recognition. To realize the computer vision for textures, it is necessary that understand textures rationally. The key of understanding textures is explaining them by the human's signs and approaches. We believe the mathematical structure of categories is similar to human's rational intelligence. In this paper, we describe the common textures by notes and term in categories theory. It means categories are useful for textures and image recognition. The combination of categories and neural network is worth to research which will gradually reveal the unity way of human's percept and rationality.