J4 ›› 2013, Vol. 40 ›› Issue (6): 155-161.doi: 10.3969/j.issn.1001-2400.2013.06.026

• 研究论文 • 上一篇    下一篇

利用小波和二阶总广义变分的图像放大方法

吴玉莲1,2;冯象初1   

  1. (1. 西安电子科技大学 理学院,陕西 西安  710071;
    2. 西安医学院 公共课部,陕西 西安  710021)
  • 收稿日期:2012-07-27 出版日期:2013-12-20 发布日期:2014-01-10
  • 作者简介:吴玉莲(1978-),女,西安电子科技大学博士研究生,E-mail: wangpeng5992@163.com.
  • 基金资助:

    国家自然科学基金资助项目(61271294,60872138)

Combining the wavelet and second order total generalized variation  for the image zooming algorithm

WU Yulian1,2;FENG Xiangchu1   

  1. (1. School of Science, Xidian Univ., Xi'an  710071, China;
    2. Common Courses Department, Xi'an Medical College, Xi'an  710021, China)
  • Received:2012-07-27 Online:2013-12-20 Published:2014-01-10

摘要:

将小波多分辨分析与二阶总广义变分相结合,利用原图像作为放大图像的小波低频子代,估计高频,重构后的放大图像用二阶总广义变分进一步迭代处理, 得到了一种新的图像放大方法.由于二阶总广义变分能去除图像的块效应,更好地恢复图像的细节纹理信息, 因而能够重构出高质量的图像.实验仿真表明,该算法不但能达到比较好的放大效果,而且去噪效果也令人满意.

关键词: 小波分析, 二阶总广义变分, 图像放大, 噪声抑制

Abstract:

A new image zooming model combining the wavelet and second order total generalized variation is proposed. The original image is regarded as the wavelet low-frequency band for the zoomed image, and the high-frequency bands are estimated. Further processing is implemented for the zoomed image using the second order total generalized variation. The second order total generalized variation may lead to an absence of the staircase effect and keep most details, and therefore, the high quality image is reconstructed. Finally, experimental results have illustrated that our algorithm not only can achieve better zooming but also can produce a very satisfactory denoising effect.

Key words: wavelet analysis, second order total generalized variation, image zooming, denoising