计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (28): 172-173.DOI: 10.3778/j.issn.1002-8331.2008.28.057

• 图形、图像、模式识别 • 上一篇    下一篇

基于隐含重起Arnoldi过程的参数估计

解 凯1,吕妍昱2   

  1. 1.信息与机电工程学院 北京印刷学院,北京 102600
    2.教学技术与计算中心 北京印刷学院,北京 102600
  • 收稿日期:2008-02-21 修回日期:2008-05-30 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 解 凯

Implicitly restarted Arnoldi process based parameters estimation

XIE Kai1,LV Yan-yu2   

  1. 1.School of Information and Mechanical Electronic Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China
    2.Teaching Technology & Internet Center,Beijing Institute of Graphic Communication,Beijing 102600,China
  • Received:2008-02-21 Revised:2008-05-30 Online:2008-10-01 Published:2008-10-01
  • Contact: XIE Kai

摘要: 提出在超分辨率复原中使用基于隐含重起Arnoldi过程来高效计算正则化参数的方法。通过隐含重起Arnoldi过程,可选择一个较好的初始向量。该方法将大型稀疏系统矩阵投影到Krylov子空间上并表达成一个小型稠密的Hessenberg矩阵。该方法可减少正则化参数的计算代价。

关键词: Arnoldi过程, 正则化参数, 超分辨率图像

Abstract: The paper proposes an efficient method based on the implicitly restarted Arnoldi process for the estimation of L-curve in super-resolution image restorations.The method can select the better initial vectors and generate orthogonal bases for the Krylov subspaces.The bases are small and condensed Hessenberg matrices which represent orthogonal projections of the large and sparse system matrix in super image restoration onto the Krylov subspaces.The method can reduce the computational complexity of the regular parameters.

Key words: Arnoldi process, regular parameter, super-resolution image