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Volume 11, Issue 1
Image Denoising Based on the Surface Fitting Strategy

Z.-F. Pang & B. Shi

Int. J. Numer. Anal. Mod., 11 (2014), pp. 102-116.

Published online: 2014-11

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  • Abstract

In this work, we propose a surface fitting strategy based on a two-step model to remove noise from digital images. In the first step, we minimize the total variation energy functional of an image by using the projection gradient method in order to obtain the dual variable as the smoothed normal vector. In the second step, we try to find a surface as the recovered image to fit the smoothed normal vector. Based on the projection gradient method and the variable splitting method, we propose an efficient numerical method to solve this two-step model and also give the convergence analysis of the proposed method. Some numerical comparisons are given to validate the effectiveness of our proposed model.

  • Keywords

Two-step model, Staircase effect, Projection gradient method, Edge indicator function.

  • AMS Subject Headings

94A08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-102, author = {Pang , Z.-F. and Shi , B.}, title = {Image Denoising Based on the Surface Fitting Strategy}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {1}, pages = {102--116}, abstract = {

In this work, we propose a surface fitting strategy based on a two-step model to remove noise from digital images. In the first step, we minimize the total variation energy functional of an image by using the projection gradient method in order to obtain the dual variable as the smoothed normal vector. In the second step, we try to find a surface as the recovered image to fit the smoothed normal vector. Based on the projection gradient method and the variable splitting method, we propose an efficient numerical method to solve this two-step model and also give the convergence analysis of the proposed method. Some numerical comparisons are given to validate the effectiveness of our proposed model.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/516.html} }
TY - JOUR T1 - Image Denoising Based on the Surface Fitting Strategy AU - Pang , Z.-F. AU - Shi , B. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 102 EP - 116 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/516.html KW - Two-step model, Staircase effect, Projection gradient method, Edge indicator function. AB -

In this work, we propose a surface fitting strategy based on a two-step model to remove noise from digital images. In the first step, we minimize the total variation energy functional of an image by using the projection gradient method in order to obtain the dual variable as the smoothed normal vector. In the second step, we try to find a surface as the recovered image to fit the smoothed normal vector. Based on the projection gradient method and the variable splitting method, we propose an efficient numerical method to solve this two-step model and also give the convergence analysis of the proposed method. Some numerical comparisons are given to validate the effectiveness of our proposed model.

Pang , Z.-F. and Shi , B.. (2014). Image Denoising Based on the Surface Fitting Strategy. International Journal of Numerical Analysis and Modeling. 11 (1). 102-116. doi:
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