Operator theoretic image coding

A general formalism for iterative image coding is introduced. In this framework, each feature of the image to be coded is associated with a nonexpansive operator which leaves invariant all images possessing the feature in question. The decoding scheme consists of finding a common fixed point of these operators, which can be achieved via efficient parallel algorithms. The proposed formalism provides a flexible treatment of the image coding problem and contains as special cases transform coding, fractal coding, set theoretic coding, and vector quantization.