The Topological Structure of Scale-Space Images

We investigate the "deep structure" of a scale-space image. The emphasis is on topology, i.e. we concentrate on critical points--pointswith vanishing gradient--and top-points--critical points with degenerate Hessian--and monitor their displacements, respectively generic morsifications in scalespace. Relevant parts of catastrophe theory in the context of the scale-space paradigm are briefly reviewed, and subsequently rewritten into coordinate independent form. This enables one to implement topological descriptors using a conveniently defined, global coordinate system.

• Type: Journal
• Year: 2000
• Where: JMIV
• Authors: Luc Florack, Arjan Kuijper
• Keywords: Critical Points, Deep Structure, JMIV 2000, Scale-space Image