A new thresholding technique based on random sets

被引:15
作者
Friel, N [1 ]
Molchanov, IS [1 ]
机构
[1] Univ Glasgow, Dept Stat, Glasgow G12 8QW, Lanark, Scotland
关键词
distance function; grey-scale images; random sets; threshold;
D O I
10.1016/S0031-3203(99)00017-5
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We present a new technique for grey-scale image thresholding. Vital to this paper is the idea that each grey-scale image gives rise to the distribution of a random set. Our new thresholded set appears as an expectation of a random set generated from an image. This expectation is defined using binary distance transforms in such a way that the distance transform of the thresholded binary image mimics (in some sense) the average distance transform for varying threshold level. (C) 1999 Pattern Recognition Society. Published by Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1507 / 1517
页数:11
相关论文
共 12 条
[1]   Averaging of random sets based on their distance functions [J].
Baddeley, A ;
Molchanov, I .
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 1998, 8 (01) :79-92
[2]   A RELATIVE ENTROPY-BASED APPROACH TO IMAGE THRESHOLDING [J].
CHANG, CI ;
CHEN, K ;
WANG, JW ;
ALTHOUSE, MLG .
PATTERN RECOGNITION, 1994, 27 (09) :1275-1289
[3]   SHAPE-ANALYSIS VIA ORIENTED DISTANCE FUNCTIONS [J].
DELFOUR, MC ;
ZOLESIO, JP .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 123 (01) :129-201
[4]  
Hiriart-Urruty J-B., 1993, CONVEX ANAL MINIMIZA
[5]   A NEW METHOD FOR GRAY-LEVEL PICTURE THRESHOLDING USING THE ENTROPY OF THE HISTOGRAM [J].
KAPUR, JN ;
SAHOO, PK ;
WONG, AKC .
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1985, 29 (03) :273-285
[6]  
MOLCHANOV IS, 1997, APPL THEORY RANDOM S, P27
[7]   ENTROPIC THRESHOLDING [J].
PAL, NR ;
PAL, SK .
SIGNAL PROCESSING, 1989, 16 (02) :97-108
[8]   DISTANCE FUNCTIONS ON DIGITAL PICTURES [J].
ROSENFELD, A ;
PFALTZ, JL .
PATTERN RECOGNITION, 1968, 1 (01) :33-+
[9]   Threshold selection using Renyi's entropy [J].
Sahoo, P ;
Wilkins, C ;
Yeager, J .
PATTERN RECOGNITION, 1997, 30 (01) :71-84
[10]   A SURVEY OF THRESHOLDING TECHNIQUES [J].
SAHOO, PK ;
SOLTANI, S ;
WONG, AKC ;
CHEN, YC .
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1988, 41 (02) :233-260