THE FRACTAL DIMENSION MAY BE A USEFUL MORPHOMETRIC DISCRIMINANT IN HISTOPATHOLOGY

被引:63
作者
CROSS, SS
COTTON, DWK
机构
[1] Department of Pathology, University of Sheffield Medical School, Sheffield, S10 2UL, P.O. Box 596, Beech Hill Road
关键词
FRACTALS; FRACTAL DIMENSION; FRACTAL GEOMETRY; IMAGE ANALYSIS; EUCLIDEAN GEOMETRY;
D O I
10.1002/path.1711660414
中图分类号
R73 [肿瘤学];
学科分类号
100214 ;
摘要
The hypothesis is presented that fractal geometry, and the fractal dimension in particular, is likely to be a more useful method of image analysis in histopathology than the use of regular Euclidean geometry. The concept of the fractal dimension is described and it is suggested that many human tumours have a fractal structure over a wide range of scales. It is postulated that the fractal dimension will be useful in discriminating between different diagnostic categories and may also allow more precise prognostic stratification within single diagnostic groups.
引用
收藏
页码:409 / 411
页数:3
相关论文
共 43 条
[1]  
[Anonymous], 1982, MORPHOMETRY
[2]   MOLECULAR FRACTAL SURFACES [J].
AVNIR, D ;
FARIN, D ;
PFEIFER, P .
NATURE, 1984, 308 (5956) :261-263
[3]   BORDERLINE OR MALIGNANT OVARIAN TUMOR - A CASE-REPORT OF DECISION-MAKING WITH MORPHOMETRY [J].
BAAK, JPA ;
VANDERLEY, G .
JOURNAL OF CLINICAL PATHOLOGY, 1984, 37 (10) :1110-1113
[4]  
BAAK JPA, 1987, ANAL QUANT CYTOL, V9, P89
[5]   DISCRIMINATION OF HYPERPLASIA AND CARCINOMA OF THE ENDOMETRIUM BY QUANTITATIVE MICROSCOPY - A FEASIBILITY STUDY [J].
BAAK, JPA ;
KURVER, PHJ ;
DIEGENBACH, PC ;
DELEMARRE, JFM ;
BREKELMANS, ECM ;
NIEUWLAAT, JE .
HISTOPATHOLOGY, 1981, 5 (01) :61-68
[6]  
Barnsley M., 1988, SCI FRACTAL IMAGES
[7]   FRACTAL MODELING OF BIOLOGICAL STRUCTURES [J].
BARNSLEY, MF ;
MASSOPUST, P ;
STRICKLAND, H ;
SLOAN, AD .
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1987, 504 :179-194
[8]  
BLAKEMORE C, 1977, MECHANICS MIND, P61
[9]   MORPHOMETRY AND CYTODIAGNOSIS OF BREAST-LESIONS [J].
BOON, ME ;
TROTT, PA ;
VANKAAM, H ;
KURVER, PJH ;
LEACH, A ;
BAAK, JPA .
VIRCHOWS ARCHIV A-PATHOLOGICAL ANATOMY AND HISTOPATHOLOGY, 1982, 396 (01) :9-18
[10]   FRACTAL DIMENSIONS OF LANDSCAPES AND OTHER ENVIRONMENTAL DATA [J].
BURROUGH, PA .
NATURE, 1981, 294 (5838) :240-242