计算机应用 ›› 2013, Vol. 33 ›› Issue (01): 28-30.DOI: 10.3724/SP.J.1087.2013.00028

• 多媒体处理技术 • 上一篇    下一篇

基于全变分小波域缺损修复算法的一种数值实现

胡文瑾1,2,李战明1   

  1. 1. 兰州理工大学 电气工程与信息工程学院, 兰州 730050
    2. 西北民族大学 数学与计算机科学学院, 兰州 730030
  • 收稿日期:2012-07-16 修回日期:2012-08-27 出版日期:2013-01-01 发布日期:2013-01-09
  • 通讯作者: 胡文瑾
  • 作者简介:胡文瑾(1981-),女,甘肃兰州人,博士研究生,CCF会员,主要研究方向:图像处理、模式识别;李战明(1962-),男,陕西咸阳人,教授,博士生导师,主要研究方向:复杂系统的建模与控制、智能信息处理与模式识别。
  • 基金资助:

    国家自然科学基金资助项目(61063032);西北民族大学科研创新团队资助项目;中央高校基本科研业务费专项资助项目(zyz2012078)

Numerical method based on total variation wavelet inpainting

HU Wenjin1,2,LI Zhanming1   

  1. 1. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou Gansu 730050, China
    2. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou Gansu 730030, China
  • Received:2012-07-16 Revised:2012-08-27 Online:2013-01-01 Published:2013-01-09
  • Contact: HU Wenjin
  • Supported by:

    ;Fundamental Research Funds for the Central Universities

摘要: 针对基于全变分(TV)小波域图像修复算法,提出了一种新的数值计算方法。算法充分利用了图像待修复像素点周围八邻域的信息计算曲率在像素域的近似值。与传统近似求解方法不同,该数值近似计算方法不仅保证了近似结果具有更高的精确性,而且对噪声的鲁棒性好。对不同丢失率的图像用所提出的数值计算方法取得了较好的修复效果,尤其当小波系数丢失率较高时效果更为明显。所提方法可以为图像压缩导致的系数缺损修复提供解决思路。

关键词: 图像修复, 小波域, 全变分模型, 数值计算

Abstract: This paper proposed a new numerical method for Total Variation (TV) wavelet inpainting algorithm. The information of neighborhood of damaged pixel was employed sufficiently to calculate curvature in pixel domain. In comparison with the traditional approximation solution method, the proposed algorithm has higher accuracy; moreover, the result is also less sensitive to noise. The experimental results which use different loss ratio of image show that the proposed method achieves better inpainting effect, especially when the wavelet coefficient is relatively high. The proposed method provides new idea for restoring the missing information in the wavelet domain.

Key words: image inpainting, wavelet domain, Total Variation (TV) model, numerical calculation

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