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计算机工程 ›› 2011, Vol. 37 ›› Issue (13): 208-209,212. doi: 10.3969/j.issn.1000-3428.2011.13.067

• 图形图像处理 • 上一篇    下一篇

基于自适应P-Laplace扩散的图像复原

陈建军,田逢春,李 灿   

  1. (重庆大学通信工程学院,重庆 400044 )
  • 收稿日期:2010-12-10 出版日期:2011-07-05 发布日期:2011-07-05
  • 作者简介:陈建军(1978-),男,博士,主研方向:图形图像处理;田逢春,教授;李 灿,硕士研究生
  • 基金资助:
    重庆市自然科学基金资助项目(2009BB2359);中国博士后科学基金资助项目(20080430096)

Image Restoration Based on Adaptive P-Laplace Diffusions

CHEN Jian-jun, TIAN Feng-chun, LI Can   

  1. (College of Communications Engineering, Chongqing University, Chongqing 400044, China)
  • Received:2010-12-10 Online:2011-07-05 Published:2011-07-05

摘要: 针对图像复原问题提出基于自适应P-Laplace扩散的图像盲复原算法。该算法结合图像的梯度和曲率性质,采用各向异性的空间自适应正则化处理,建立具有非线性和各向异性扩散的正则化方程,使其在恢复目标图像时能自适应地进行梯度平滑和边缘保留。通过最小化能量方案极小化代价函数,同时通过定点交替迭代策略将非线性方程进行线性化处理,快速恢复图像。实验结果证明,该方法能对模糊图像进行有效复原,提高图像的质量。

关键词: 图像复原, P-Laplace扩散, 全变分, 曲率, 梯度

Abstract: A blind restoration algorithm of P-Laplace diffusion based on anisotropic and nonlinear regularizations is proposed for restoring degraded images, in which the anisotropic and adaptive regularizations are adopted according to the character of image curvature and gradient. The nonlinear and spatial anisotropic regularization functions are suggested to smooth adaptively in the process of recovering the object image. The cost functions are minimized by alternate minimization scheme. The nonlinear equations are linear by fixed-point iteration scheme. The images can be recovered quickly. Experimental results show that the algorithm can restore image and improve image quality effectively.

Key words: image restoration, P-Laplace diffusion, total variation, curvature, gradient

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