Affine integral invariants and matching of curves

We propose integral invariants based on a group invariant parameterisation. These new invariants do not suffer from the occlusion problem, do not require any correspondence of image features unlike algebraic invariants, and are less sensitive to noise than differential invariants. Affine differential geometry is applied to this framework, and novel affine integral invariants are derived. A quasi-invariant parameterisation enables us to reduce the order of derivatives required. The proposed invariants are applied for extracting corresponding contour curves of natural images. The noise sensitivity of the proposed invariants is compared with that of differential invariants