摘要： 在传统图像中值滤波算法中，固定排序窗和无条件中值运算会影响算法的降噪能力。为此，提出一种改进的图像中值滤波算法。借鉴量子理论提出数字图像的伪量子化表示形式，应用量子哈达玛变换引入自适应机制，使排序窗口的大小和形状能根据其移动位置的图像局部特征自适应地变化，并引入有条件中值运算保留图像细节。仿真结果表明，与传统中值滤波和递归中值滤波算法相比，该算法在保留图像细节的同时，具有更强的降噪能力，且噪声强度对滤波效果的影响较小。

关键词: 中值滤波, 自适应滤波, 量子衍生算法, 伪量子化图像, 哈达玛变换, 条件中值运算

Abstract: In traditional image median filtering algrithm, two key factors that can effect the denoising power of this filter, namely fixed order window and unconditional median operations. Aiming at this problem, this paper proposes an improved algorithm. The pseudo-quantized representation of digital image is put forward through using quantum theory and an adaptive mechanism is introduced by means of quantum Hadamard transform, so that the size and shape of the order windows can be automatically adjusted according to the local characteristics of the image. Furthermore, a conditional median algorithm is also introduced to preserves image details as much as possible in the denoising. Simulation results show that the proposed algorithm has stronger ability to filter noise and preserve significant image details simultaneously compared with the traditional median filtering algorithm and recursion median filtering algorithm. Another advantage of the proposed improved median filtering algorithm is not sensitive to the strength of the noise, it means that the effection of strength of noise to filtering is very small.

Key words: median filtering, adaptive filtering, quantum-inspired algorithm, pseudo-quantized image, Hadamard transform, conditional median operation

中图分类号: 

• TN911.73