Pairwise operator learning for patch based single-image super-resolution

Yi Tang, Ling Shao

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)
7 Downloads (Pure)


Motivated by the fact that image patches could be inherently represented by matrices, single-image super-resolution is treated as a problem of learning regression operators in a matrix space in this paper. The regression operators that map low-resolution image patches to high-resolution image patches are generally defined by left and right multiplication operators. The pairwise operators are respectively used to extract the raw and column information of low-resolution image patches for recovering high-resolution estimations. The patch based regression algorithm possesses three favorable properties. Firstly, the proposed super-resolution algorithm is efficient during both training and testing, because image patches are treated as matrices. Secondly, the data storage requirement of the optimal pairwise operator is far less than most popular single-image super-resolution algorithms because only two small sized matrices need to be stored. Lastly, the super-resolution performance is competitive with most popular single-image super-resolution algorithms because both raw and column information of image patches is considered. Experimental results show the efficiency and effectiveness of the proposed patch-based single-image superresolution algorithm.
Original languageEnglish
Pages (from-to)994-1003
Number of pages10
JournalIEEE Transactions on Image Processing
Issue number2
Early online date14 Dec 2016
Publication statusPublished - Feb 2017


  • left and right multiplication operators
  • Single-image super-resolution
  • matrix space
  • matrix-value operator regression

Cite this