二维钱方法的改进及其在图像去噪中的应用

An Improved Two Dimensional Qian Method and Its Application of Image Denoising

  • 摘要: 针对目前二维钱方法运行时间缓慢的问题,提出了二维钱方法的快速优化方案,并将其首次应用于图像去噪:将二维钱方法的内积计算进行优化,通过2个一维积分来计算其二维积分,然后将内积的计算过程放置到GPU的计算单元中,使用CPU和GPU并行计算的方法,明显提高了运行速度;对于因使用钱方法对图像分解重构后图像产生条形波纹的现象,使用了扩展图像边界的方法来消除波纹,改善了图像的质量;将二维钱方法应用于图像去噪中. 研究结果表明,文中提出的二维钱方法的改进方案运行速度明显提升,尤其是在步长为0.5时可以达到实时运用,使得广泛应用二维钱方法理论来解决实际问题成为可能;该去噪算法步骤简单且能够获得良好的视觉效果,在滤除噪声和保留图像细节上进行均衡,去噪效果理想.

     

    Abstract: To alleviate the problem of current two dimensional Qian methods slow running time, a fast implementation of two dimensional Qian methods is proposed. And it is applied to image denoising for the first time. First, the inner product calculation of the two dimensional Qian method is optimized by using two one-dimensional integral to calculate the two-dimensional integral. Then the inner product calculation process is placed into the GPU computing unit. CPU and GPU parallel computing is used to improve running speed. For the strip ripples which are generated after the decomposition and reconstruction of the image by using Qian method, the method of extending the image boundary is used to improve the quality of the image. Finally, two dimensional Qian method to image denoising is applied. Experimental results show that, the running time of the improved scheme of two dimensional Qian method proposed in this paper is significantly improved. Especially when the step size is 0.5, it can be used in real time. So it is possible to solve the practical problems by using the theory of two dimensional Qian method. And it can be seen in the experimental results of image denoising in two dimensional Qian method, the denoising algorithm is simple and can obtain a good visual effect. And the denoised image could get a better effect of removing the noise and preserve image details at the same time. The effect of denoising is ideal.

     

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