DETECTION OF RIDGES AND RAVINES BASED ON CAUSTIC SINGULARITIES
Elena Anoshkina, Alexander G. Belyaev, Tosiyasu L. Kunii · International Journal of Shape Modeling · 1994
A new concept of ridges, ravines and related structures (skeletons) associated with a surface in three-dimensional space is introduced. The concept is based on the investigation of relationships between the singularities of the distance function from the surface and singularities of caustic of the normals to the surface. It involves both local and global geometric surface properties and leads to the effective procedure for ridges and ravines recognition.