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Ideal Denoising in an orthonormal basis chosen from a library of bases
Wavelet Packets Cosine Packets weak-` p spaces
2015/8/20
Suppose we have observations yi = si +zi, i = 1; :::; n, where (si) is signal and (zi)
is i.i.d. Gaussian white noise. Suppose we have available a library L of orthogonal
bases, such as the Wavelet ...
The Curvelet Transform for Image Denoising
Radon Transform Wavelets Ridgelets Curvelets FFT FWT Discrete Wavelet Transform Thresholding Rules Filtering
2015/6/17
We describe approximate digital implementations of two new mathematical transforms, namely, the ridgelet transform [3] and the curvelet transform [7, 6]. Our implementations offer exact reconstruction...
Image denoising by regularization on characteristic graphs
Image Restoration Denoising, Graph Regularization
2010/9/27
This paper introduces improvements to a now classical family of image denoising methods through rather minimal changes to the way derivatives are computed. In particular, we ask, and answer, the quest...
Information denoising and quantization by diffusion reaction model
signal restoration reaction-diffusion model partial differential equations numerical approximation
2009/1/7
We present a new diffusion reaction model for signal denoising
and quantization. We first discuss on classical quantization methods
and present the most popular denoising models. Then we construct o...