Comments on "A translation- and scale-invariant adaptive wavelet transform".

Tian, Jun · IEEE Trans Image Process · 2003

editorial · Level V

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Abstract

Xiong et al. presented a translationand scale-invariant adaptive wavelet transform. We show that their renormalized signal (pre-wavelet transform) is already translation- and scale-invariant. Thus, it is not just invariant under the wavelet transform. We give a necessary and sufficient condition for renormalized signals to be affine transform invariant.