Geometry of Isophote Curves

We consider the intensity surface of a 2D image, we study the evolution of the symmetry sets (and medial axes) of 1-parameter families of iso-intensity curves. This extends the investigation done on 1-parameter families of smooth plane curves (Bruce and Giblin, Giblin and Kimia, etc.) to the general case when the family of curves includes a singular member, as will happen if the curves are obtained by taking plane sections of a smooth surface, at the moment when the plane becomes tangent to the surface. Keywords and Phrases: Isophote curve, symmetry set, medial axis, skeleton, vertex, inflexion, shape analysis.

• Type: Conference
• Year: 2005
• Where: SCALESPACE
• Authors: André Diatta, Peter J. Giblin
• Keywords: 1-parameter Families, SCALESPACE 2005, Smooth Plane Curves, Symmetry Set