EVALUATING THE FRACTAL DIMENSION OF SURFACES

被引:133
作者
DUBUC, B
ZUCKER, SW
TRICOT, C
QUINIOU, JF
WEHBI, D
机构
[1] UNIV MONTREAL, ECOLE POLYTECH, DEPT MATH APPL, MONTREAL H3C 3A7, QUEBEC, CANADA
[2] ECOLE NATL SUPER MECAN & MICROTECH, MICROANAL SURFACES LAB, F-25030 BESANCON, FRANCE
关键词
D O I
10.1098/rspa.1989.0101
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:113 / 127
页数:15
相关论文
共 23 条
[1]   A MULTIVARIATE WEIERSTRASS-MANDELBROT FUNCTION [J].
AUSLOOS, M ;
BERMAN, DH .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :331-350
[2]   ON THE WEIERSTRASS-MANDELBROT FRACTAL FUNCTION [J].
BERRY, MV ;
LEWIS, ZV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1980, 370 (1743) :459-484
[3]  
BOULIGAND G, 1929, B SCI MATH, V52, P185
[4]   EVALUATING THE FRACTAL DIMENSION OF PROFILES [J].
DUBUC, B ;
QUINIOU, JF ;
ROQUESCARMES, C ;
TRICOT, C ;
ZUCKER, SW .
PHYSICAL REVIEW A, 1989, 39 (03) :1500-1512
[5]  
DUBUC B, 1988, CR ACAD SCI I-MATH, V306, P531
[6]  
DUBUC B, 1988, THESIS MCGILL U
[7]  
HATA M, 1986, STUD APPL MATH, V18, P259
[8]  
Kono N, 1986, JPN J APPL MATH, V3, P259
[9]  
Mandelbrot B.B., 1982, FRACTAL GEOMETRY NAT
[10]   FRACTAL CHARACTER OF FRACTURE SURFACES OF METALS [J].
MANDELBROT, BB ;
PASSOJA, DE ;
PAULLAY, AJ .
NATURE, 1984, 308 (5961) :721-722