拉普拉斯—高斯滤波图象的边零边界及其分形维数

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	拉普拉斯—高斯滤波图象的边零边界及其分形维数
	庄洪春 ; 宋详
刊名	空间科学学报
	1998
卷号	18 期号:2 页码:152-160
关键词	图象处理边界提取过零边界分形维数遥感
ISSN号	0254-6124
其他题名	ZERO--CROSSlNG B0 INDARYFlLTERED lM AGE AND lTS0F LAPLACE-GAUSSlANFRACTAL DIM ENSl0N
通讯作者	北京8701信箱
中文摘要	本文考察了用拉普拉斯-高斯滤波器对遥感图象过零边界的计算方法.给出了直接从遥感图象边界转换成过零边界的稳函数.分析可看到,从遥感图象边界化算出过零边界是局地性决定的方式,得到的过零边界相对于原遥感图象边界的偏差主要取决于图象尺度,边界的局地曲率半径和所用高斯函数的尺度常数.
英文摘要	The method of calculation of zero-crossing boundary of an observed image using Iaplace raussian filter is examined.1t is shown that the determination of the zero-,crossing boundary by the abser}ed boundary is of local fashion.The deviation of the zero-crossing boundary from the observed boundary depends mainly on the size scale G of the image,the local curvature radiusp of the boundary, and the size constant of the Gaussian function,a.The deviation is smaller for smaller a and Iarge G and p.There are fow critical values to characterize the features of the influence of a on the deviation of zero--crossing boundary from the observed boundary:wipe-out value (of L=i/3),fraetal value (al G=1/10), exaggeration value(al G=1/3},and deviation-free value (afG=1/0).If alG is large than wipeout value,the image will be wiped out the filter and no zero,crossing boundary exists. When al L is less than the wipe-out value a zero-crossing boundary exists and can be obtained directly from the observed boundary. For afL less than the fractal value, zero-crossing boundary will faithfully trace the observed boundary and fractal dimension of the boundary curve can also be calculated. 1f of p is around the exaggeration value, the zero-crossing boundary will exaggerate the fluctuations in the observed boundary curve.1f of p is less山an the deviation-free value,the deviation of zero-crossing boundary from the observed boundary is not discernible. Therefore Iaplace-C}ussian felted zero-crossing is an accurate method to locate homogeneous image boundary which the size and curvature radius are larger than 10a.
学科主题	空间环境
语种	中文
内容类型	期刊论文
源URL	[http://ir.cssar.ac.cn/handle/122/100]
专题	国家空间科学中心_保障部/保障与试验验证中心
推荐引用方式 GB/T 7714	庄洪春,宋详. 拉普拉斯—高斯滤波图象的边零边界及其分形维数[J]. 空间科学学报,1998,18(2):152-160.
APA	庄洪春,&宋详.(1998).拉普拉斯—高斯滤波图象的边零边界及其分形维数.空间科学学报,18(2),152-160.
MLA	庄洪春,et al."拉普拉斯—高斯滤波图象的边零边界及其分形维数".空间科学学报 18.2(1998):152-160.