基于泊松分布和分形几何的甲骨拓片字形复原方法  

Restoration method of characters on Jiagu rubbings based on Poisson distribution and fractal geometry

作　　者：顾绍通[1,2,3] 酆格斐[1,2,3] 马小虎[1,2,4] 杨亦鸣[1,2,3] 

机构地区：[1]徐州师范大学语言研究所,徐州221009 [2]江苏省语言科学与神经认知工程重点实验室,徐州221009 [3]徐州师范大学语言科学学院,徐州221009 [4]苏州大学计算机科学与技术学院,苏州215006

出　　处：《中国科学：信息科学》2011年第1期23-32,共10页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:30740040);教育部人文社会科学基金(批准号:10YJC-740032);江苏省社会科学基金(批准号:09YYB011);江苏高校哲学社会科学重点研究基地重大项目"甲骨文的数字化处理及应用";徐州师范大学社会科学基金(批准号:08XWA04);江苏省"333高层次人才培养工程"基金(批准号:苏教办师[2008]46号)资助项目

摘　　要：文中提出了一种基于泊松分布和分形几何的甲骨拓片字形复原方法.分析了甲骨拓片上字形图像和噪声区域的分布特征,通过计算每一个连通区域与拓片上所有连通区域数学期望的差值来识别拓片上的噪声区域.小于数学期望的连通区域被识别为噪声区域并被填充,从而保留了字形笔划区域.分析了甲骨拓片上字形图像边缘的分形几何特征,计算甲骨拓片字形边缘的分形维数等参数,通过计算拓片字形的轮廓线上当前点与左右相邻点形成的向量夹角的余弦值提取特征点,并对甲骨拓片字形边缘进行加权坐标的压缩变换,从而使甲骨拓片字形边缘得到平滑.实验结果显示,该方法可以有效地去除甲骨拓片上的噪声区域,保留字形笔划区域,并使甲骨拓片上字形边缘得到平滑.A scheme for character restoration of Jiagu rubbings based on Poisson distribution and fractal geometry is proposed in this paper.The distribution characteristics of the connected regions on Jiagu rubbings is analyzed,and all the connected regions are recognized according to differences between these and their mathematical expectations.Regions are recognized as noise regions and filled if the differences are negative,while stroke regions are reserved.The attributes of the character image edges on Jiagu rubbings are also analyzed. The fractal dimensions of the character edge of Jiagu rubbings are calculated by means of statistics.The feature points are obtained using the cosine of the angle between the two vectors of the point and the consecutive two points.Different compression transformations with weighted coordinates are performed on different strokes and segments of the characters so as to smoothen the character edge of Jiagu rubbings images.Experimental results show that our scheme could successfully clear noise regions and polish the character edge of Jiagu rubbings.

关 键 词：甲骨拓片 泊松分布 分形几何 分形维数 压缩变换 字形复原 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]