This paper proposes a procedure for representing image functions by a computation in two layers. It is recalled that the general function representation needs more layers than two, using the Stone-Weierstrass theorem for approximation in three layers, and the Kolmogorov theorem for representation in four layers. For achieving representation in two layers only, the requirement on a continuous representation has to removed. The Sprecher construction presented here is a general procedure for yielding such a representation in two layers. It can be used to compress images, to represent pixels and their neighborhoods directly, or to represent image operators.
CITATION STYLE
Soft Computing as Transdisciplinary Science and Technology. (2005). Soft Computing as Transdisciplinary Science and Technology. Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-32391-0
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