Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Edge-preserving wavelet thresholding for image denoising
Journal of Computational and Applied Mathematics
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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In this paper we proposed a new wavelet denoising method for digital images with edge preservation. Briefly stated, our method consists of a combination of the dyadic lifting schemes with the edge-preserving wavelet thresholding. The dyadic lifting schemes have free parameters which enable us to construct the filters having important image features. We describe how to determine these parameters and the denoising algorithm with edge preservation in detail. Some numerical experiments are presented, and we show that these parameters play an important role to denoise.