An Improved Invariant Wavelet Transform
Xin-Yang Huang, Minsheng Tan, Hongru Wu, Lijun Ouyang, Li Liu · Procedia Engineering · 2012
This paper presents a new method to solve the crop-invariant problem of an invariant wavelet, RSTXIW, which is a rotation- and scaling- and translation- invariant. Based on the feature points and second moments of the signal and based on a scale function of Daubiechies wavelet, we renormalize a signal in the function space. By using the feature points to divide the signal into several parts and by applying cluster analysis, we can correctly calculate the whole second-order moments of the cropped signal. Then we can obtain the crop-invariance of the renormalized signal, tested by some experiments.