Fractal geometry has become very useful in the understanding of many phenom
ena in various fields such as astrophysics, economy or agriculture and rece
ntly in medicine. After a brief intuitive introduction to the basis of frac
tal geometry, the clue is made about the correlation between Df and the com
plexity or the irregularity of a structure. However, fractal analysis must
be applied with certain caution in natural objects such as bio-medical ones
. The cardio-vascular system remains one of the most important fields of ap
plication of these kinds of approach. Spectral analysis of the R-R interval
, morphology of the distal coronary arteries constitute two examples. Other
very interesting applications are founded in bacteriology, medical imaging
or ophthalmology. In our institution, we apply fractal analysis in order t
o quantitate angiogenesis and other vascular processes. (C) 2000 Harcourt P
ublishers Ltd.