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Energy-based adaptive orthogonal FRIT and its application in image denoising

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Abstract

Efficient representation of linear singularities is discussed in this paper. We analyzed the relationship between the “wrap around” effect and the distribution of FRAT (Finite Radon Transform) coefficients first, and then based on study of some properties of the columnwisely FRAT reconstruction procedure, we proposed an energy-based adaptive orthogonal FRIT scheme (EFRIT). Experiments using nonlinear approximation show its superiority in energy concentration over both Discrete Wavelet Transform (DWT) and Finite Ridgelet Transform (FRIT). Furthermore, we have modeled the denoising problem and proposed a novel threshold selecting method. Experiments carried out on images containing strong linear singularities and texture components with varying levels of addictive white Gaussian noise show that our method achieves prominent improvement in terms of both SNR and visual quality as compared with that of DWT and FRIT.

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong University, Jinan, 250100, China

    Liu YunXia, Peng YuHua & Qu HuaiJing

  2. Shandong Tumor Hospital, Jinan, 250117, China

    Yin Yong

Authors
  1. Liu YunXia
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  2. Peng YuHua
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  3. Qu HuaiJing
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  4. Yin Yong
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Corresponding author

Correspondence to Liu YunXia.

Additional information

Supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, the Ministry of Education (Grant No. 2004.176.4), and the Natural Science Foundation of Shandong Province (Grant Nos. Z2004G01 and 2004ZRC03016)

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Liu, Y., Peng, Y., Qu, H. et al. Energy-based adaptive orthogonal FRIT and its application in image denoising. SCI CHINA SER F 50, 212–226 (2007). https://doi.org/10.1007/s11432-007-0013-x

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  • DOI: https://doi.org/10.1007/s11432-007-0013-x

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