Thin nets are the lines where the grey level function is locally extremum i
n a given direction. Recently, we have shown that it is possible to charact
erize the thin nets using differential properties of the image surface. How
ever, the method failed when these structures present different widths. In
this paper we show that the extraction process of the thin nets, having dif
ferent width, requires a multiscale analysis of the image. To design the fu
sion process of the multiscale information, we will study the behavior of t
he differential properties of the image surface, in particular the curvatur
es, in scale space. We illustrate the efficiency of the proposed multi-scal
e approach by extracting roads and blood vessels of different widths in sat
ellite and medical images. (C) 1999 Academic Press.