Abstract: Inspired by quantum theory, a principle of self-adapted median filtering based on quantum measurement and collapsing is proposed in this paper. The pixels in the window using for median operation are presented by superposition of states of quantum mechanics. The scale of this window can be adjusted through operating on it by a measurement operator produced according to character of pixels in the window. A method using for producing the measurement operator is given here. It is shown that better result can be given by using this self-adapted median filtering compared with traditional median filtering by computer simulation.

摘要： 受量子信息处理理论的启发，提出了一种基于量子测量和量子态坍缩的自适应中值滤波原理。在本文提出的中值滤波中，移动窗内的图像像素采用量子叠加态表示，通过由窗内像素特征生成的测量算子对窗口图像的作用调整中值运算窗口的大小和形状。一种测量算子的生成方法被提出。计算机仿真表明，所提出的中值滤波器与传统的中值滤波器相比较，具有更好的滤波效果。