关键词: 边缘检测, 数学形态学, 量子信息, 量子衍生

Abstract: A morphological operation based on quantum measurement and collapsing is proposed in this paper. The structure element (SE) for this operation is a multi-state structure element similar to superposition of states of quantum mechanics. In process of the morphological operation, a measurement operator can be constructed according to character of pixels in neighborhood of SE’s translating point. The state of this SE can be collapsed to a corresponding basic state , a traditional SE, after being acted by the measurement operator. The form and scale of the collapsed state can be changed with translating point because of different character of that point’s neighborhood and a self-adapted morphological operation can be formed. A method for producing the measurement operator based on mean square error is proposed and it is shown that the morphological gradient constructed by this morphological operation can detect edge of the image corrupted by noise more efficiently than that traditional morphological gradient through computer simulation.

Key words: Edge detection, Mathematics morpgology, Quantum information, Quantum inspired