The structure element (SE) used in morphology operation is extended to superposition of SE

short for SSE

inspired by the quantum information processing theory.The SSE’s has no fixed sizes or form and its scale is described with the limits of size. SSE is linear superposition of all SE available in its limits of size. SSE can be collapsing and returns to a SE when a measurement on it is taken. The morphological operators

named by collapsing morphological operators

based on quantum measurement and collapsing are defined

and then a self-adapted filtering operation is created by applying these operators in this paper. The results obtained in the computer simulation on image filtering using this operation is shown that this self-adapted filtering has more powerful ability for denoising than median filter and corresponding traditional morphological filter and are independent of the intensity of noise.