Abstract
A custom-design of 2m-order nonorthogonal dyadic wavelet is proposed. The scaling function is 2m-order centered cardinal B-spline and the wavelet function dilated by factor 2 is proportional to the second difference of it. Taking them as 1D prototypes, the 2D minimum isotropic wavelet (MIW) along with a set of MIW filters and a bank of MIW packets are presented. The MIW filters are suitable for detecting edges and lines and the MIW packets can distinguish between multi-scale textures of an image. Some experimental results are given in this paper.
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