The Hausdorff dimension and scale-space normalisation of natural images

被引：0
作者：
Pedersen, KS [1 ]
Nielsen, M [1 ]
机构：
[1] DIKU, Copenhagen 2100, Denmark
来源：
SCALE-SPACE THEORIES IN COMPUTER VISION | 1999年 / 1682卷
关键词：
fractal dimension; natural images; self-similarity; Gaussian scale-space; image derivatives; scale-selection; feature detection;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Fractal Brownian motions have been introduced as a statistical description of natural images. We analyze the Gaussian scale-space scaling of derivatives of fractal images. On the basis of this analysis we propose a method for estimation of the fractal dimension of images and scale-space normalisation used in conjunction with automatic scale selection assuming either constant energy over scale or self similar energy scaling.
引用
收藏
页码：271 / 282
页数：12
相关论文
共 23 条
  • [1] [Anonymous], 1993, CHAOS DYNAMICAL SYST
  • [2] [Anonymous], NATO ASI SERIES F
  • [3] ELDER JH, 1996, ECCV 96, P57
  • [4] Fazzalari NL, 1996, J PATHOL, V178, P100, DOI 10.1002/(SICI)1096-9896(199601)178:1<100::AID-PATH429>3.0.CO
  • [5] 2-K
  • [6] RELATIONS BETWEEN THE STATISTICS OF NATURAL IMAGES AND THE RESPONSE PROPERTIES OF CORTICAL-CELLS
    FIELD, DJ
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1987, 4 (12): : 2379 - 2394
  • [7] Florack L. M. J., 1994, Journal of Mathematical Imaging and Vision, V4, P325, DOI 10.1007/BF01262401
  • [8] GAARDING J, 1987, TRITANAP8716CVAP49 R
  • [9] Iijima T., 1962, B ELECTROTECHNICAL L, P368
  • [10] HUMAN DISCRIMINATION OF FRACTAL IMAGES
    KNILL, DC
    FIELD, D
    KERSTEN, D
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1990, 7 (06): : 1113 - 1123
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