A Global Point Signature map via Giaquinta{Hildebrandt operator

Gradient operator, divergence operator and Laplace-Beltrami operator (LBO) over surfaces play important roles in many elds related to geometry and analysis, suchas di erential geometry, Riemannian manifolds, nonlinear analysis, computational ge- ometry, partial di erential equations (PDEs), computational geometry and geometrymodeling etc. There are some algorithms which detects and computes the isometric mappings from the shape onto itself. By this fact that the spectrum of the LBOis invariant under isometries, a global point signature for detection of some intrinsic symmetries of shape from extrinsic ones is de ned recently. the Laplace-Beltrami op-erator is described by the coe cients of the rst fundamental forms. In this paper, we introduce a new global point signature map by means of the Giaquinta{Hildebrandt operator which can be gained in the coe cients of the second fundamental forms.

کلیدواژه ها:

Symmetry detection ، Di erential operators ، Giaquinta{Hildebrandt op-erator