中文摘要：

图像去噪是图像处理邻域的重要课题，该文在3维直方图的基础上定义图像的3维轴距，分析无噪声及椒盐噪声影响下图像3维轴距的分布特点，提出基于3维轴距的去噪算法。算法首先对图像进行边沿扩展，再利用3维轴距来检测噪声，最后用非噪声中值滤波来消除噪声。仿真比较了3维轴距去噪算法与中值滤波、自适应开关中值、快速自适应均值滤波、修正方向加权中值滤波和自适应模糊开关中值滤波算法的去噪性能，结果证明该文算法的有效性。

英文摘要：

Image denoising is an important issue in the field of image processing. This paper defines the three-dimensional axis distance on the basis of three-dimensional histogram, analyzes the distribution features of image’s three-dimensional axis distance under the influence of non-noise and salt-pepper noise situation, thus the denoising algorithm upon the three-dimensional axis distance is proposed. The proposed algorithm extends image edge at first and then detects noise by employing the three-dimensional axis distance. Finally, the noise is eliminated by excluding noise pixels’ median filter. The results of comparisonsamong the proposed algorithm, median filter, adaptive switching median filter, efficient average filter, modified directional-weighted-median filter, and noise adaptive fuzzy switching median filter verify the effectiveness of the proposed algorithm.