New Wavelet-Based Invariant Shape Representation Functions

In this paper, new wavelet-based affine invariant functions for shape representation are derived. These functions are computed from the wavelet approximation coefficients of the shape boundary. The first function is computed from applying a single wavelet transform, whereas the second function is computed from applying two different wavelet transforms. All the previously derived affine invariant functions were based on wavelet details coefficients which are sensitive to noise in the finer scale levels. The proposed invariant functions are more stable and less sensitive to noise than the details-based invariant functions.

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