IMAGE DENOISING BASED ON SYMMETRICAL FRACTIONAL OVERCOMPLETE WAVELET TRANSFORM
K. Aiswarya · 2014
A fractional overcomplete wavelet transform’s filter banks, which are half symmetrical, approximately shift-invariant and minimumeven-length is designed and constructed. A novel designing scheme for the symmetrical and minimum-even-length low-pass filter bank is proposed. High-pass filter banks with approximately shift-invariant property are constructed through Toeplitz matrix factorization, which is easier than the existing methods. This type of wavelet is expected to provide favourable conditions to image denoising. Fractional overcomplete wavelet transform gives better denoising than existing wavelets including orthogonal compact