Invariants of three-dimensional contours
C.-S. Lin · 2003
Invariants of three-dimensional contours are derived from the elliptic Fourier descriptor. A 3-D closed curve is described by a set of feature ellipses in 3-D space. These feature ellipses will have fixed lengths of major and minor axes no matter where the contour is located. Besides, the relative orientations among the ellipses will not vary. The derived invariants are implicit functions of these axes lengths as well as the angles defining the relative orientations. These invariants can be used for object recognition without having the complete surface data.>