A vector model for analysis, decomposition and segmentation of textures

A model, which assumes tonal decomposition of textures, is proposed for texture analysis and segmentation. The model is based on an interpretation in which the tones form an orthogonal basis in a vector space of possible textures. Three methods for texture segmentation, which employ a texture indicator developed from this concept, are demonstrated. Application of the vector model requires the use of a priori information of the tonal frequencies present and the tonal amplitude distributions. A proposed algorithm, which uses only a priori knowledge of the spatial frequencies to extract the tonal amplitudes i.e. texture vectors, is discussed. Examp1es illustrating the application of this concept are presented. Finally a preliminary discussion of the problems associated with determining the tonal frequencies is presented