A GRAPH-THEORETIC APPROACH TO DISTANCE TRANSFORMATIONS

被引:7
作者
SHARAIHA, YM
CHRISTOFIDES, N
机构
[1] Operational Research and Systems, The Management School, Imperial College of Science, Technology and Medicine, London, SW7 2PG
关键词
DISTANCE TRANSFORMATION; CHAMBER DISTANCE; EUCLIDEAN DISTANCE; SHORTEST PATH; SKELETONIZATION;
D O I
10.1016/0167-8655(94)90036-1
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 novel graph-theoretic approach to the Distance Transformation (DT) problem. The binary digital image is considered as a graph and the DT problem reduces to a shortest path forest problem. An algorithm is presented which solves the chamfer DT, and the Euclidian DT for a given bound.
引用
收藏
页码:1035 / 1041
页数:7
相关论文
共 17 条
[1]   DISTANCE TRANSFORMATIONS IN DIGITAL IMAGES [J].
BORGEFORS, G .
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1986, 34 (03) :344-371
[2]   DISTANCE TRANSFORMATIONS IN ARBITRARY DIMENSIONS [J].
BORGEFORS, G .
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1984, 27 (03) :321-345
[3]   EUCLIDEAN DISTANCE MAPPING [J].
DANIELSSON, PE .
COMPUTER GRAPHICS AND IMAGE PROCESSING, 1980, 14 (03) :227-248
[4]   COMPUTATIONAL ANALYSIS OF ALTERNATIVE ALGORITHMS AND LABELING TECHNIQUES FOR FINDING SHORTEST PATH TREES [J].
DIAL, R ;
GLOVER, F ;
KARNEY, D ;
KLINGMAN, D .
NETWORKS, 1979, 9 (03) :215-248
[5]  
DIAL R, 1969, COMM ASS COMPUT MACH, V1, P632
[6]  
FORCHHAMMER S, 1989, 6TH P SCAND C IM AN, P393
[7]  
Gallo G., 1988, Annals of Operations Research, V13, P3
[8]   A METHOD FOR OBTAINING SKELETONS USING A QUASI-EUCLIDEAN DISTANCE [J].
MONTANARI, U .
JOURNAL OF THE ACM, 1968, 15 (04) :600-+
[9]  
Moore E.F., 1957, P INT S THEOR SWITCH, P285
[10]  
RAGNEMALM I, 1990, THESIS LINKOPING U L