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AIG based nonlinear anisotropic smoothing strategy for vector-valued images

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Abstract

The effects of the Rician noise on the calculated tensors are analyzed and an affine invariant gradient (AIG) based nonlinear anisotropic smoothing strategy is presented. The AIG based smoothing strategy is a development of the affine invariant nonlinear anisotropic diffusion (AINAD) restoration model, introduced by Guillermo Sapiro, and adopted to restore vector-valued data. To evaluate the efficiency of the presented AINAD model in accounting for the Rician noise introduced into the vector-valued data, the peak-to-peak signal-to-noise ratio (PSNR), signal-to-mean squared error ratio (SMSE) and Beta(parameter that stands for edge preservation) metrics are used. The experiment results acquired from the synthetic and real data prove the good performance of the presented filter.

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Authors and Affiliations

  1. Depatment of Electronic Engineering, Shanghai Normal University, Shanghai, 201418, China

    Xiang-fen Zhang  (张相芬) & Hong Ye  (叶 宏)

  2. Department of Instrument Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, China

    Xiang-fen Zhang  (张相芬) & Wei-feng Tian  (田蔚风)

  3. College of Biomedical Engineering, Southern Medical University, Guangzhou, 510515, China

    Wu-fan Chen  (陈武凡)

Authors
  1. Xiang-fen Zhang  (张相芬)
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  2. Wei-feng Tian  (田蔚风)
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  3. Wu-fan Chen  (陈武凡)
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  4. Hong Ye  (叶 宏)
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Corresponding author

Correspondence to Xiang-fen Zhang  (张相芬).

Additional information

Foundation item: the National Basic Research Program (973) of China (No. 2003CB716103) and the Shanghai Normal University Foundation (No. SK200734)

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Zhang, Xf., Tian, Wf., Chen, Wf. et al. AIG based nonlinear anisotropic smoothing strategy for vector-valued images. J. Shanghai Jiaotong Univ. (Sci.) 14, 223–228 (2009). https://doi.org/10.1007/s12204-009-0223-z

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  • DOI: https://doi.org/10.1007/s12204-009-0223-z

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