Novel color image denoising method based onfractional-order partial differential equation
基于分数阶偏微分方程的彩色图像去噪新方法

The traditional methods for color image denoising usually can't smooth the edge noise effectively and can't protect the texture information well. To overcome these shortcomings, this paper proposed a novel method for color image denoising which combined DQFT with the theory of fractional order differentiation. The method used a quaternion matrix to represent a color image, and it was carried out by following procedures. Firstly, transformed the quaternion matrix to the DQFT domain. Secondly, applied it to the process of a fractional-order-differentiation-based energy function to seek its minimum, used the variational principle to solve this minimization problem and then inferred the proposed method. Finally, compared the method with two traditional methods for color image denoising to evaluate its superiority. The experimental results show that the proposed method has better performance in denoising and protection of the details.