THE APPLICATION OF FRACTAL GEOMETRIC ANALYSIS TO MICROSCOPIC IMAGES

被引:79
作者
CROSS, SS
机构
[1] Department of Pathology, University of Sheffield Medical School, Sheffield, S10 2UL, Beech Hill Road
关键词
FRACTAL; MICROSCOPY; IMAGE ANALYSIS;
D O I
10.1016/0968-4328(94)90057-4
中图分类号
TH742 [显微镜];
学科分类号
摘要
Fractal geometry is a relatively new tool for the quantitative microscopist that is a more valid way of measuring dimensions of complex irregular objects than the integer-dimensional geometries (such as Euclidean geometry). This review discusses the theory of fractal geometry using the classic examples of the Von Koch curve, the Canter set and the Sierpinski gasket. The problems of describing the dimensions of these objects are discussed and the concept of fractal dimensionality is introduced. Methods for measuring fractal dimensions are discussed, including their implementation on microcomputer-based image analysis systems. The advantages and problems of fractal geometric analysis are discussed and current applications in the field of microscopy are reviewed.
引用
收藏
页码:101 / 113
页数:13
相关论文
共 88 条
[21]  
CROSS SS, 1993, IN PRESS J PATH
[22]  
CROSS SS, 1992, J PATHOL, V168, pA117
[23]  
EVANS DMD, 1988, BIOPSY PATHOLOGY CYT
[24]  
Falconer K., 2004, FRACTAL GEOMETRY MAT
[25]  
FLEEGE JC, 1991, MANUAL QUANTITATIVE, P151
[26]  
FLOOK A., 1982, ACTA STEREOL, V1, P79
[28]  
FROYLAND J, 1992, INTRO CHAO COHERENCE
[29]  
Gleick J., 1988, CHAOS
[30]   FRACTAL PROPERTIES OF PULMONARY BLOOD-FLOW - CHARACTERIZATION OF SPATIAL HETEROGENEITY [J].
GLENNY, RW ;
ROBERTSON, HT .
JOURNAL OF APPLIED PHYSIOLOGY, 1990, 69 (02) :532-545