Extending 2-D Smoothed Local Symmetries to 3-D

Abstract

3-D Smoothed Local Symmetries (3-D SLS's) are presented as a representation for three-dimensional shapes. 3-D SLS's make explicit the perceptually salient features of 3-D objects and are especially suited to representing man-made objects. The definition of the 3-D SLS is given as a natural extension of the 2-D Smoothed Local Symmetry (2-D SLS). Analytic descriptions of the 3-D SLS are derived for objects composed of planar and spherical patches. Results of an implementation of the 3-D SLS are presented, along with suggestions for further research.