计算机应用研究2013，Vol.30Issue(3)：946-949,4.DOI:10.3969/j.issn.1001-3695.2013.03.079
基于分数阶偏微分方程的彩色图像去噪新方法
Novel color image denoising method based on fractional-order partial differential equation
摘要
Abstract
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.关键词
彩色图像去噪/四元数/离散四元数傅里叶变换/分数阶微分Key words
color image denoising/ quaternion/ discrete quaternion Fourier transforms (DQFT) / fractional order differentiation分类
信息技术与安全科学引用本文复制引用
张富平,周尚波,赵灿..基于分数阶偏微分方程的彩色图像去噪新方法[J].计算机应用研究,2013,30(3):946-949,4.基金项目
国家自然科学基金资助项目(61004112) （61004112）
