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A Fast TVL1-L2 Minimization Algorithm for Signal Reconstruction from Partial Fourier Data
(2008-10)
Recent compressive sensing results show that it is possible to accurately reconstruct certain compressible signals from relatively few linear measurements via solving nonsmooth convex optimization problems. In this paper, ...
A Fast Algorithm for Edge-Preserving Variational Multichannel Image Restoration
(2008-07)
We generalize the alternating minimization algorithm recently proposed in [32] to effciently solve a general, edge-preserving, variational model for recovering multichannel images degraded by within- and cross-channel ...
A Curvilinear Search Method for p-Harmonic Flows on Spheres
(2008-01)
The problem of finding p-harmonic flows arises in a wide range of applications including micromagnetics, liquid crystal theory, directional diffusion, and chromaticity denoising. In this paper, we propose an innovative ...
Iterative Reweighted Algorithms for Compressive Sensing
(2008-01)
The theory of compressive sensing has shown that sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. In [1], it was shown empirically that using lp minimization ...