Abstract:
The property of shift-invariance associated with the property of good directional selectivity are important for the application of a wavelet transform in many fields of image processing. Unfortunately, the classical discrete wavelet transform is shift-variant. All modified algorithms proposed in the literature for the computation of a shift invariant transform are less or more redundant and difficult to implement, and consequently thorny to use in signal processing applications. In this paper, we propose a new, quasi shift-invariant wavelet transform, without redundancy and easy to implement.