A modified Hausdorff distance between fuzzy sets

被引:71
作者
Chaudhuri, BB
Rosenfeld, A
机构
[1] Indian Stat Inst, Comp Vis & Pattern Recognit Unit, Calcutta 700035, W Bengal, India
[2] Univ Maryland, Ctr Automat Res, Comp Vis Lab, College Pk, MD 20742 USA
关键词
fuzzy set; Hausdorff distance; pattern matching;
D O I
10.1016/S0020-0255(99)00037-7
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In an earlier paper (B.B. Chaudhuri, A. Rosenfeld, Pattern Recognition Letters 17 (1996) 1157-1160) we defined a Hausdorff-like metric distance between fuzzy sets. This distance contained two terms, one representing geometric distance and the other representing dissimilarity. Combining two terms representing two unrelated notions is not very appealing. In this paper, a modified metric is proposed which contains a single term representing geometric distance only; which reduces to the classical Hausdorff distance when the fuzzy sets are crisp; and which is relatively insensitive to noise. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:159 / 171
页数:13
相关论文
共 9 条
[1]  
[Anonymous], PATTERN RECOGNITION, DOI DOI 10.1109/ICPR.1994.576361
[2]   On Hausdorff-like metrics for fuzzy sets [J].
Boxer, L .
PATTERN RECOGNITION LETTERS, 1997, 18 (02) :115-118
[3]   On a metric distance between fuzzy sets [J].
Chaudhuri, BB ;
Rosenfeld, A .
PATTERN RECOGNITION LETTERS, 1996, 17 (11) :1157-1160
[4]  
DUBOIS D, 1983, P INT C SYST MAN CYB, P300
[5]   Note on Hausdorff-like metrics for fuzzy sets [J].
Fan, JL .
PATTERN RECOGNITION LETTERS, 1998, 19 (09) :793-796
[6]   COMPARING IMAGES USING THE HAUSDORFF DISTANCE [J].
HUTTENLOCHER, DP ;
KLANDERMAN, GA ;
RUCKLIDGE, WJ .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1993, 15 (09) :850-863
[7]   Robust comparison of binary images [J].
Paumard, J .
PATTERN RECOGNITION LETTERS, 1997, 18 (10) :1057-1063
[8]   DIFFERENTIALS OF FUZZY FUNCTIONS [J].
PURI, ML ;
RALESCU, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 91 (02) :552-558
[9]   DISTANCES BETWEEN FUZZY-SETS [J].
ROSENFELD, A .
PATTERN RECOGNITION LETTERS, 1985, 3 (04) :229-233