It's a key problem to find wavelet invariants to the transformation of scale

translation and rotation in pattern recognition using multi-resolution analysis.Moment invariant is a mature method on theory and applications.This paper links the moment invariants with the approximation coefficients of image wavelet decomposition.A novel biorthogonal wavelet moment invariant is derived from the biorthogonality of the spatial basis functions.The experimental results are also provided to confirm the correctness of the theoretical derivation.After that

the limiting condition of the conclusion is analyzed by taking Haar wavelet as an example.Both theoretical analysis and experimental verification show that the wavelet moments of higher order than smoothness can be calculated within required accuracy.And the complete theoretical and experimental results are obtained.Finally

some problems to be paid attention to in practical application are pointed out.