TV数值计算的图像去噪

继承传统TV去噪算法的图像边缘保护性，弥补平滑区域抑噪不充分的不足，结合图像的空间梯度和像素梯度，提出了新的基于TV数值计算的去噪算法。该算法分析了图像的空间梯度；为了抑制噪声对图像平滑区域梯度的影响，对该区域的空间梯度进行抑制，克服了传统TV算法对平坦区抑噪不充分，甚至出现的虚假边缘和阶梯效应；结合像素梯度分析了图像TV去噪的迭代函数。实验结果表明，该算法实现了保边去噪且残余噪声较小，提高了图像的峰值信噪比(PSNR)和视觉效果。

Image Denoising on TV Numerical Computation

In order to inherit the traditional TV denoising algorithm of image edge protection, meanwhile, make up for inadequate noise suppression in the smooth area, this paper proposes a new denoising algorithm based on TV numerical calculation by using the spatial gradient and pixel gradient. An analysis is given to the spatial gradient of image, noise suppression of image smooth area, the inhibiting of spatial gradient in the region of interest and the iteration function of TV denoising based on pixel gradient. Experimental results show that the algorithm realizes edge-protection and less residual noise, and improves image peak signal to noise ratio and visual effects.