Point process texture generation model: implications to multi-resolution analysis

Textures are generated and characterized using point processes whose realizations localize the (boundaries of) texture primitives. For simplicity, one dimensional point processes are used to generate parallel independent cross sections of the image. The interval statistics of the underlying point process describes the spatial parameters of the texture primitives in the studied orientation. Multiple resolution texture analysis methods are analyzed in the context of the proposed texture generation model and related to the point process interval statistics. A variant of these methods is proposed to directly estimate the interval statistics, and thus the spatial parameters of the texture primitives