Image model based on n-pixels and defined in algebraic topology, and applications thereof

摘要

A computational image model comprises an image support including a structure of n-pixels comprising pixel faces, quantities related to image features, and an algebraic structure relating the quantities to the n-pixels and/or pixel faces, the algebraic structure comprising algebraic operations defining a relation between the quantities. A method of computationally modelling an image comprises producing an image support including a structure of n-pixels comprising pixel faces, defining quantities related to image features, and relating the quantities to the n-pixels and/or pixel faces through an algebraic structure, and relating the quantities to each other through algebraic operations.