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The Influence of Regularization Parameter on Error Bound in Super-Resolution Reconstruction

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Advances in Multimedia Information Processing - PCM 2008 (PCM 2008)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5353))

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Abstract

Regularization method is widely used to address the ill-conditioned problem of super-resolution (SR) reconstruction to improve its performance. The tradeoff between the fidelity of the data (due to small values of regularization parameter) and the smoothness of the SR result necessitates the choice of the regularization parameter to obtain the optimal solution. In this paper, the objective relative error is analyzed to explore the influence of the regularization parameter on SR reconstruction performance. With the optimal regularization parameter, we derive a relative error bound. The analysis is verified by experiment results.

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Author information

Authors and Affiliations

  1. School of Electrical& Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798

    Minmin Shen, Ping Xue & Ci Wang

Authors
  1. Minmin Shen
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  2. Ping Xue
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  3. Ci Wang
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Editor information

Editors and Affiliations

  1. Department of Engineering Science, National Cheng Kung University, No.1, University Road, 701, Tainan City, Taiwan

    Yueh-Min Ray Huang

  2. National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, 95, Zhongguancun East Road, 100190, Beijing, China

    Changsheng Xu

  3. Institute of Biomedical Engineering, National Cheng Kung University, No. 1, University Road, 701, Tainan City, Taiwan

    Kuo-Sheng Cheng

  4. Department of Electrical Engineering, National Cheng Kung University, No. 1, University Road, 701, Tainan City, Taiwan

    Jar-Ferr Kevin Yang

  5. Department of Electrical and Computer Engineering, Concordia University, S-EV005.139, 1515 St. Catherine West, Montreal, H4G 2W1, Quebec, Canada

    M. N. S. Swamy

  6. Microsoft Research Asia, 5/F, Beijing Sigma Center, No. 49, Zhichun Road, Hai Dian District, 100080, Beijing, China

    Shipeng Li

  7. Department of Information Management, National Kaohsiung University of Applied Sciences, No. 415, Jiangong Road, Sanmin District, 80778, Kaohsiung, Taiwan

    Jen-Wen Ding

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© 2008 Springer-Verlag Berlin Heidelberg

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Shen, M., Xue, P., Wang, C. (2008). The Influence of Regularization Parameter on Error Bound in Super-Resolution Reconstruction. In: Huang, YM.R., et al. Advances in Multimedia Information Processing - PCM 2008. PCM 2008. Lecture Notes in Computer Science, vol 5353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89796-5_55

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  • DOI: https://doi.org/10.1007/978-3-540-89796-5_55

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89795-8

  • Online ISBN: 978-3-540-89796-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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