Representation and recognition of 3D curves

The space curves are highly descriptive features for 3-D objects. Invariant representations for space curves are discussed. The authors introduce a complex waveform representation for space curves. The waveform is parameterized by arc length. Also proposed is an invariant representation of space curves using the 3-D moment invariants of their breakpoints. Space-curve matching using invariant global features is discussed. An algorithm for matching partially occluded 3-D curves is also presented in which an association graph is constructed from local matchings. The mixture cliques of the graph will determine the longest portion of the model curves in the scene