In this paper

we propose a stratification transformation on the intensity surface of grayscale image. This transformation is confined by the original watershed partition

and after this transformation

there exists a strict causality between gradient watershed under different scales of geodesic reconstruction. In this way

the scale space of gradient watershed can be established. Some possible applications of watershed transformation on image sequence analysis are discussed

and by the utilization of the multiscale framework of gradient watershed

the efficiency and stability can be greatly improved.