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高效均值滤波算法


摘 要:为了提高现有均值滤波算法的速度,减少冗余操作,提出了一种高效的均值滤波算法。首先建立一个辅助数组,结合滤波窗口在按行滑动时相邻窗口之间的递归关系和按列移动时相邻两行对应的辅助数组之间的递归关系,设计出更新辅助数组元素和新窗口中心点对应均值的递归式,根据这两个递归式,设计出了高效的均值滤波算法。理论分析表明该算法极大地减少了冗余操作,且算法效率不受窗口大小变化的影响。实验结果证明,在滤波效果一致的前提下,本算法比现有快速均值滤波算法更高效。
  关键词:图像平滑; 均值滤波; 滑动窗口; 算法设计
  中图分类号:TP391.41
  文献标志码:A
  
  文章编号:1001-3695(2010)02-0434-05
  doi:10.3969/j.issn.1001-3695.2010.02.008
  
  Highly efficient mean filtering algorithm
  
  WANG Ke-jun, XIONG Xin-yan, REN Zhen
  
  (College of Automation, Harbin Engineering University, Harbin 150001, China)
  
  Abstract:For the purpose of improving the mean filter algorithms speed and reducing the redundancy operations, this paper proposed a high efficiency mean filter algorithm. First set up an assistant array. Then united the recursive relationship of adjacent filter windows, when the filter window slide along the row, and the recursive relationship of assistant arrays of adjacent two rows, when the filter window slided to the next row, to design two recursive formulas. One was for updating the items of assistant array and the other was for updating relative mean of new filter window’s center point. Using those two recursive formulas designed out the high efficiency mean filter algorithm. By theoretic analysis it could be known that the new algorithm had greatly reduced the redundancy operations and the efficiency of algorithm had nothing to do with the filter window’s size. The experiment results indicate that under the same filter effect, this algorithm is much faster than existing mean filter algorithm on processing speed. ......
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