›› 2011, Vol. 24 ›› Issue (3): 9-.

• 论文 • 上一篇    下一篇

基于压缩感知理论的图像重构技术

沈明欣,刘文波   

  1. (南京航空航天大学 自动化学院,江苏 南京 210016)
  • 出版日期:2011-03-15 发布日期:2011-03-11
  • 作者简介:沈明欣(1986-),男,硕士研究生。研究方向:数字信号图像处理。 刘文波(1969-),女,博士生导师。研究方向:计算机测控,信号处理。

Image Reconstruction Technique Based on the Compressed Sensing Theory

 CHEN Meng-Xin, LIU Wen-Bo   

  1. (College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
  • Online:2011-03-15 Published:2011-03-11

摘要:

通过CS理论在工程应用上典型的正交匹配追踪算法,实现了一维信号和二维图像的精确重构,针对该方法中出现对整幅图像进行采样计算时需要大量的观测矩阵存储空间,并且重构过程中耗费了大量的时间等问题,提出了一种基于OMP算法的改进方案,将图像进行分块压缩感知。通过实验分析,以上问题得到了解决,重构图像的质量在没有增加计算复杂度的前提下也得到了提高。

关键词: 压缩感知;信号采样;正交匹配追踪(OMP);分块压缩感知

Abstract:

Through the study of the CS theory,this paper realizes the accurate reconstruction of the one-dimensional signal and two-dimensional image by applying the OMP algorithm,which is the classical method in the CS engineering application.As to the problems that large storage of sampling matrix is needed when sampling and calculating the whole image and that a huge amount of time is consumed when reconstructing it,this paper proposes an improvement scheme based on the OMP algorithm,that is,dividing the image into small macro-blocks.The simulation results show that the quality of reconstructed images has been improved without increasing the complexity and the problems above are solved.

Key words: compressed sensing;signal sampling;OMP;block CS

中图分类号: 

  • TN911.73