基于数学形态学的甲骨拓片字形复原方法
|
摘要
甲骨拓片字形图像是直接来源于出土甲骨的甲骨文字形图像,是获取高质量甲骨文字形的重要途径之一。由于书写材料本身质地的原因以及受到污染和腐蚀,字形图像边缘锯齿形状明显,很多地方会有突起的毛刺,无法直接使用,需要对字形图像进行平滑复原处理。对此,提出了一种基于数学形态学的甲骨拓片字形图像复原方法。首先介绍了数学形态学的基本原理,分析了甲骨拓片字形的特点,并针对甲骨拓片字形的特点,运用数学形态学对字形图像进行一系列运算,在水平方向、竖直方向以及斜线方向分别对字形边缘进行基于数学形态学的平滑处理,在保留字体风格的同时对甲骨拓片字形图像边缘进行平滑。实验结果表明,该方法对甲骨拓片字形图像的复原是有效的。
The image of the character on Jiagu rubbings comes directly from the tortoise shell and animal bone excavated underground,and it is one of the important sources of high quality Jiagu font. Due to the quality of the writing material itself, as well as the contamination and corrosion, the zigzag shape of the edge of the character image is obvious, and there will be raised burrs in many places,which cannot be used directly, so it needs to be smoothed and restored. For this,we propose a restoration method of characters on Jiagu rubbings based on mathematical morphology. We give a brief introduction of mathematical morphology first, analyze the characteristics of Jiagu rubbings characters. The image of the character on Jiagu rubbing is smoothed well with the style of the character preserved after a series of operations of mathematical morphology in the horizontal,vertical,and diagonal directions. The experiment shows that the proposed method is effective in restoration of Jiagu rubbings character image.
The image of the character on Jiagu rubbings comes directly from the tortoise shell and animal bone excavated underground,and it is one of the important sources of high quality Jiagu font. Due to the quality of the writing material itself, as well as the contamination and corrosion, the zigzag shape of the edge of the character image is obvious, and there will be raised burrs in many places,which cannot be used directly, so it needs to be smoothed and restored. For this,we propose a restoration method of characters on Jiagu rubbings based on mathematical morphology. We give a brief introduction of mathematical morphology first, analyze the characteristics of Jiagu rubbings characters. The image of the character on Jiagu rubbing is smoothed well with the style of the character preserved after a series of operations of mathematical morphology in the horizontal,vertical,and diagonal directions. The experiment shows that the proposed method is effective in restoration of Jiagu rubbings character image.
引文
[1] CHAN T F,SHEN J. Mathematical models for local nontexture inpaintings[J]. SIAM Journal on Applied M athematics,2002,62(3):1019-1043.
[2] CHAN T F,SHEN J. Nontexture inpainting by curvaturedriven diffusions(CDD)[J]. Journal of Visual Communication and Image Representation,2001,12(4):436-449.
[3] ZHANG X,CHAN T F. Wavelet inpainting by nonlocal total variation[J]. Inverse Problems and Imaging,2010,4(1):191-210.
[4]方宝龙.基于纹理合成的图像修复算法研究[D].济南:山东大学,2013.
[5] DRORI I,COHEN-OR D,YESHURUN H. Fragment-based image completion[J]. ACM Transactions on Graphics,2003,22(3):303-312.
[6] TANG Feng,YING Yiting,WANG Jin,et al. A novel texture synthesis based algorithm for object removal in photographs[C]//Proceedings of the 9th Asian computing science conference on advances in computer science. ChiangM ai,Thailand:Springer-Verlag,2004:248-254.
[7]张东,唐向宏,张少鹏,等.小波变换与纹理合成相结合的图像修复[J].中国图象图形学报,2015,20(7):882-894.
[8]翟东海,鱼江,段维夏,等.破损区域分块划分的图像修复[J].中国图象图形学报,2014,19(6):835-842.
[9]王猛,翟东海,聂洪玉,等.邻域窗口权重变分的图像修复[J].中国图象图形学报,2015,20(8):1000-1007.
[10] STARCK J L,ELAD M,DONOHO D L. Image decomposition via the combination of sparse representations and a variational approach[J]. IEEE Transactions on Image Processing,2005,14(10):1570-1582.
[11] MAIRAL J,ELAD M,SAPIRO G. Sparse representation for color image restoration[J]. IEEE Transactions on Image Processing,2008,17(1):53-69.
[12]李民,程建,李小文,等.非局部学习字典的图像修复[J].电子与信息学报,2011,33(11):2672-2678.
[13] SAHOO S K,LU W. Image inpainting using sparse approximation w ith adaptive w indow selection[C]//7th international symposium on intelligent signal processing.[s. l.]:IEEE,2011:1-4.
[14]李志丹,和红杰,尹忠科,等.基于Curvelet方向特征的样本块图像修复算法[J].电子学报,2016,44(1):150-154.
[2] CHAN T F,SHEN J. Nontexture inpainting by curvaturedriven diffusions(CDD)[J]. Journal of Visual Communication and Image Representation,2001,12(4):436-449.
[3] ZHANG X,CHAN T F. Wavelet inpainting by nonlocal total variation[J]. Inverse Problems and Imaging,2010,4(1):191-210.
[4]方宝龙.基于纹理合成的图像修复算法研究[D].济南:山东大学,2013.
[5] DRORI I,COHEN-OR D,YESHURUN H. Fragment-based image completion[J]. ACM Transactions on Graphics,2003,22(3):303-312.
[6] TANG Feng,YING Yiting,WANG Jin,et al. A novel texture synthesis based algorithm for object removal in photographs[C]//Proceedings of the 9th Asian computing science conference on advances in computer science. ChiangM ai,Thailand:Springer-Verlag,2004:248-254.
[7]张东,唐向宏,张少鹏,等.小波变换与纹理合成相结合的图像修复[J].中国图象图形学报,2015,20(7):882-894.
[8]翟东海,鱼江,段维夏,等.破损区域分块划分的图像修复[J].中国图象图形学报,2014,19(6):835-842.
[9]王猛,翟东海,聂洪玉,等.邻域窗口权重变分的图像修复[J].中国图象图形学报,2015,20(8):1000-1007.
[10] STARCK J L,ELAD M,DONOHO D L. Image decomposition via the combination of sparse representations and a variational approach[J]. IEEE Transactions on Image Processing,2005,14(10):1570-1582.
[11] MAIRAL J,ELAD M,SAPIRO G. Sparse representation for color image restoration[J]. IEEE Transactions on Image Processing,2008,17(1):53-69.
[12]李民,程建,李小文,等.非局部学习字典的图像修复[J].电子与信息学报,2011,33(11):2672-2678.
[13] SAHOO S K,LU W. Image inpainting using sparse approximation w ith adaptive w indow selection[C]//7th international symposium on intelligent signal processing.[s. l.]:IEEE,2011:1-4.
[14]李志丹,和红杰,尹忠科,等.基于Curvelet方向特征的样本块图像修复算法[J].电子学报,2016,44(1):150-154.