Nested local symmetry set

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 del 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). (C) 2000 Academic Press.

Citation Formats
Z. S. Tarı and J. Shah, “Nested local symmetry set,” COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 79, no. 2, pp. 267–280, 2000, Accessed: 00, 2020. [Online]. Available: