基于量子衍生的图像中值滤波算法

Quantum-inspired Image Median Filtering Algorithm

摘要:

利用量子衍生思想，借鉴量子信息理论，将归一化的数字图像用量子叠加态的方式表示，分析了量子Hadamard变换的原理，提出了基于量子衍生的图像中值滤波算法。针对受不同程度椒盐噪声干扰的数字图像，分别采用3×3和5×5大小的中值滤波窗口，对传统图像中值滤波算法和量子衍生中值滤波算法进行了去噪仿真实验。从主观视觉角度和客观评价指标两方面，对算法的去噪效果进行了分析和比较。根据信噪比和边缘保持度两种评价指标，客观衡量和比较了算法处理后的结果图像与原始图像之间的灰度值差异，以及算法对图像边缘细节的保持能力。算法仿真结果表明，对相同程度椒盐噪声干扰的图像进行去噪处理时，5×5大小的量子衍生中值滤波算法去噪效果最佳。

Abstract:

A quantum-inspired image median filtering algorithm was proposed, which based on the quantum-inspired idea and quantum information theory. The quantum Hadamard transformation was analyzed.The normailized digital image was represented as quantum superposition state. For the digital images polluted by different degree of pepper and salt noise, the median filtering windows of 3×3 and 5×5 were used , the quantum-inspired median filtering algorithm and the traditional image median filtering algorithm were tested to denoise the polluted images.The algorithms were compared and studied through the subjective visual feeling and objective evaluation.According to the objective evaluation indexes of signal-to-noise ratio and edge-preserving degree, the gray value difference between the processed image and the original image and the ability of the algorithm to preserve the details of the edge of the image were measured and compared objectively.The experimental results showed that the de-noising effect of 5×5 quantum-inspired image median filtering algorithm was the best with the same degree of pepper and salt noise pollution.