Smooth wavelet frames with application to denoising
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Symmetric nearly shift-invariant tight frame wavelets
IEEE Transactions on Signal Processing
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In this paper, we study minimum-energy frame @J={@j^1,@j^2,...,@j^M} on the interval with arbitrary factor d for L^2[0,1], @J corresponding to some refinable functions with compact support. We give the constructive proof as well as the necessary and sufficient conditions of minimum-energy frames for L^2[0,1], present the decomposition and reconstruction formulas of minimum-energy frame on the interval [0,1], and some examples. The experimental results show that the proposed minimum-energy frame on the interval improves the performance in the application of image denoising significantly.