Multi-scale, torsion-based shape representations for space curves

Space curves are efficient, highly descriptive features of 3-D objects. A new multiscale shape representation (the resampled torsion scale space or TSS image) for space curves suitable for recognition of a noisy curve at any scale or orientation is introduced. A two-phase matching algorithm consisting of TSS matching (using extrema of TSS zero-crossing contours) followed by transformation parameter optimization demonstrates the usefulness of the representation in recognition tasks