Nested Local Symmetry Set

✍ Scribed by Sibel Tari; Jayant Shah

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 221 KB
• Volume: 79
• Category: Article
• ISSN: 1077-3142
• DOI: 10.1006/cviu.2000.0856

✦ Synopsis

A local-symmetry-based representation for shapes in arbitrary dimensions and a method for its computation are presented. The method depends on analyzing the Hessian of a specific boundaryness function, v, which is computed as the minimizer of an energy functional. The method is basically a generalized ridge finding scheme in which the ridges are defined in terms of the orbit of the gradient vector ∇v under the action of the Hessian of v. Once the ridges are determined, the local extrema of the magnitude of the gradient of v along the level hypersurfaces of v are used for the classification of the ridges. For the two-dimensional case, the representation reduces to the representation presented by Tari, Shah, and Pien (1997, Comput. Vision Image Understanding 66, 133-146).