计算机科学 ›› 2014, Vol. 41 ›› Issue (10): 101-105.doi: 10.11896/j.issn.1002-137X.2014.10.023
姜小磊,姚鸿勋,赵思成
JIANG Xiao-lei,YAO Hong-xun and ZHAO Si-cheng
摘要: 边缘保持的图像平滑在图像预处理以及许多图像编辑应用中都具有重要的意义。图像的边缘保持与细节平滑是一对矛盾。提出一种以极值为约束的边缘保持的图像平滑算法。该方法的基本思想是对处理后图像的极值进行约束,即要求其在给定位置处取得相应的极大(小)值来保持原图像的主边缘,同时平滑消除副边缘和信号小起伏。首先对原图像进行初步平滑,然后从中提取出极值点,再把这些极值点作为处理后图像的约束。在所有满足这些约束的函数中,取与原图像最接近的作为最终平滑结果。利用半二次技术和交替最小化得到了有效的数值求解方法。实验结果表明,提出的方法在一些基于边缘保持平滑的图像处理(如细节增强)中取得了更好的效果。
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