Multiscale medial axis through a complete set of optimal scale ridges

This paper presents an algorithm to extract a complete set of optimal scale ridges from the medialness scale space. The result is the multiscale medial axis. This algorithm differs from the previous implementations of optimal scale ridge in that it searches for the local maximum with respect to scale, rather than the global maximum. Therefore a single position is allowed to belong to separate axis segments at different scales; large scale features no longer dominate small scale features.