计算机工程 ›› 2020, Vol. 46 ›› Issue (5): 259-266.doi: 10.19678/j.issn.1000-3428.0054708

• 图形图像处理 • 上一篇    下一篇

基于二阶Newton插值的莫尔条纹消除算法

梁猛, 史晓霜   

  1. 西安邮电大学 电子工程学院, 西安 710121
  • 收稿日期:2019-04-24 修回日期:2019-06-11 发布日期:2019-06-29
  • 作者简介:梁猛(1973-),男,副教授,主研方向为图形图像处理、光通信与光信息技术;史晓霜,硕士研究生。
  • 基金项目:
    国家自然科学基金(61805199);陕西省自然科学基金(2018JQ6065)。

Moire Fringe Elimination Algorithm Based on Second-order Newton Interpolation

LIANG Meng, SHI Xiaoshuang   

  1. School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710121, China
  • Received:2019-04-24 Revised:2019-06-11 Published:2019-06-29

摘要: 数码相机拍摄容易受到颜色滤波阵列(CFA)采样频率的规则性图案干扰,导致输出图像带有莫尔条纹。为解决该问题,提出一种基于二阶Newton插值近似的数码图像莫尔条纹消除算法。利用小波变换提取G分量在水平和垂直方向的高频信息,通过对高频信息做频域变换模拟CFA混叠过程,进而对图像中莫尔区域及其潜在区域进行检测。针对莫尔条纹区域,利用二阶Newton插值获取G分量各方向的估计值,并对所得估计值加权平均取得丢失的G分量,再采用色差空间模型插值恢复RB分量,最终得到消除莫尔条纹且包含完整RGB信息的图像。实验结果表明,该算法在不影响图像色彩质量的同时能有效去除莫尔条纹,且相比双线性插值、Hibbard等算法恢复图像的峰值信噪比更高、主观视觉效果更好。

关键词: 莫尔条纹, 小波变换, 频域变换, 二阶Newton插值, 色差空间, 峰值信噪比

Abstract: Digital camera tends to be disturbed by regular patterns of Color Filter Array(CFA) sampling frequency,leading to Moire fringes in output images.To solve the problem,this paper proposes a Moire fringe elimination algorithm based on second-order Newton interpolation approximation for digital images.The algorithm uses wavelet transform to extract the high frequency information of G component in horizontal and vertical directions,and implements frequency domain transformation on the high frequency information to simulate aliasing process of CFA.The Moire region and its potential region in the image are detected.Then,for the detected Moire regions,the second-order Newton interpolation is used to obtain the estimated value of G component in each direction,and the estimated values are weighted and averaged to recover the lost G component.With the assistance of color difference space model interpolation,the lost R and B componentsare recovered to obtain the final image with full RGB information and without Moire fringes.Experimental results show that the proposed algorithm can effectively eliminate Moire fringes without causing any damage to the color quality of the image.Also,the proposed algorithm has higher Peak Signal to Noise Ratio(PSNR) of recovered images than bilinear interpolation,Hibbard and other algorithms,and has better subjective visual effects.

Key words: Moire fringe, wavelet transform, frequency domain transform, second-order Newton interpolation, color difference space, Peak Signal to Noise Ratio(PSNR)

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