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计算机工程

• 图形图像处理 • 上一篇    下一篇

图像插值的自适应邻域滤波方法

詹 毅1a,2,李声杰1b ,李 梦3   

  1. (1. 重庆大学a. 计算机学院; b. 数学与统计学院,重庆400030;2. 重庆工商大学数学与统计学院,重庆400067; 3. 重庆文理学院数学与财经学院,重庆402160)
  • 收稿日期:2014-02-11 出版日期:2015-02-15 发布日期:2015-02-13
  • 作者简介:詹 毅(1971 - ),男,副教授、博士,主研方向:图像处理;李声杰,教授、博士;李 梦,副教授、博士。
  • 基金资助:
    国家自然科学基金资助项目(61202349);重庆市基础与前沿研究计划基金资助一般项目(cstc2013jcyjA40058);重庆市教委 科学技术研究基金资助项目(KJ131209,KJ120709);重庆文理学院校级基金资助项目(R2012SC20)。

Adaptive Neighborhood Filtering Method of Image Interpolation

ZHAN Yi 1a,2,LI Shengjie1b ,LI Meng 3   

  1. (1a. College of Computer Science;1b. College of Math and Statistics,Chongqing University,Chongqing 400030,China; 2. College of Math and Statistics,Chongqing Technology and Business University,Chongqing 400067,China; 3. School of Math and Finances,Chongqing University of Arts and Sciences,Chongqing 402160,China)
  • Received:2014-02-11 Online:2015-02-15 Published:2015-02-13

摘要: 图像待插像素用其邻域内连续方向上像素的Tyler 展开可以得到较好的近似,但是沿着灰度连续和不连 续方向(跨越图像边缘方向)的Tyler 展开近似的线性平均会增加图像边缘宽度,引起图像边缘的视觉模糊以及产 生锯齿边缘。为此,通过一个与灰度距离相关的权函数,自适应选择待插像素邻域内的Tyler 展开,提出一个邻域 滤波图像插值方法。与待插像素位于图像边缘同侧的像素权函数的值较大,像素的Tyler 展开被选择为待插像素 的近似;反之则权函数的值较小,像素的Tyler 展开不用作待插像素的Tyler 展开。实验结果表明,该方法避免了跨 越图像边缘的Tyler 展开的线性平均,可减小插值图像边缘的宽度,增加边缘斜坡坡度,从而获得清晰的插值图像边缘。

关键词: 图像插值, 线性插值, Tyler 展开式, 邻域滤波, 自适应方法, 双边滤波

Abstract: The interpolated pixel can be expanded along the direction on which image grey is continuously varied by Tyler expansion. But the linear average of these Tyler expansions along the continuous and discontinuous direction will enlarge the width of image edges and introduce blurring and zigzag effects. In this paper,a neighborhood filtering for image interpolation is proposed. A weighted function based on grey distance adaptively selects the Tyler expansions in the neighborhood of interpolated pixel. The principle of the method is that the weight of the pixel which lies on the same lateral of image edges with the interpolated pixel is large,so its Tyler expansion is selected,vice versa,the weight is small and its Tyler expansion is not selected. It avoids the average of the expansions which cross the image edges,and can reduce width of edge and increase slope,which produce scrip edges.

Key words: image interpolation, linear interpolation, Tyler expansion, neighborhood filtering, adaptive method, bilateral filtering

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