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Wavelet Analysis and Applications pp 489–502Cite as

High-Resolution Image Reconstruction Using Wavelet Lifting Scheme

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Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

High-resolution image reconstruction refers to reconstruction of high-resolution images from multiple low-resolution, shifted, blurred samples of a true image. By expressing the true image as a square integrable function, Point Spread Function (PSF) can be used to construct biorthogonal wavelet filters directly and some algorithms for high-resolution image reconstruction were proposed based on the filters. However, the filters are the piecewise linear spline and corresponding primal and dual wavelet functions are all one vanishing moments. In order to improve the quality of reconstructed high-resolution images, we propose a method in this paper which can increase the numbers of vanishing moments of the wavelet functions so as to improve the performance of the biorthogonal filters using wavelet lifting scheme. Experiment results show that the method can improve the quality of reconstructed high-resolution images effectively. Also, we derive a fast algorithm that can reconstruct high-resolution images efficiently when blurring matrix is block-circulant-circulant-block (BCCB) matrix or Toeplitze-plus-Hankel system with Toeplitze-plus-Hankel block (THTH) matrix.

This research is supported by Ministry of Education, Government of Guangdong Province (Research Grant No.8303069).

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Author information

Authors and Affiliations

  1. Research & Development Center, China Academy of Space Technology, Beijing, P.R. China

    Shengwei Pei

  2. Division of Science and Technology, South China University of Technology, Guangzhou, Guangdong Province, 510640, P.R. China

    Haiyan Feng

  3. School of Electronic and Information Engineering, South China University of Technology, Guangzhou, Guangdong Province, 510640, P.R. China

    Minghui Du

Authors
  1. Shengwei Pei
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  2. Haiyan Feng
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  3. Minghui Du
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Editor information

Editors and Affiliations

  1. Faculty of Science and Technology, University of Macau, P.O. Box 3001, Macau

    Tao Qian  & Mang I Vai  & 

  2. Department of Mathematics, Syracuse University, 215 Carnegie Hall, Syracuse, NY, 13244-1150, USA

    Yuesheng Xu

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Pei, S., Feng, H., Du, M. (2006). High-Resolution Image Reconstruction Using Wavelet Lifting Scheme. In: Qian, T., Vai, M.I., Xu, Y. (eds) Wavelet Analysis and Applications. Applied and Numerical Harmonic Analysis. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7778-6_36

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