Ulugbek Kamilov

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Related publications (25)

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Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

We consider the denoising of signals and images using regularized least-squares method. In particular, we propose a simple minimization algorithm for regularizers that are functions of the discrete gradient. By exploiting the connection of the discrete gra ...

Ieee2012

Learning from Examples in Optical Imaging

Demetri Psaltis, Michaël Unser, Ulugbek Kamilov, Cédric René Jean Vonesch

Imaging systems can be designed using examples and methods similar to the techniques used in deep learning. We describe experimental results demonstrating optical tomography based on the learning approach. ...

OSA2016

Mmse Denoising Of Sparse Levy Processes Via Message Passing

Michaël Unser, Arash Amini, Ulugbek Kamilov

Many recent algorithms for sparse signal recovery can be interpreted as maximum-a-posteriori (MAP) estimators relying on some specific priors. From this Bayesian perspective, state-of-the-art methods based on discrete-gradient regularizers, such as total-v ...

Ieee2012

Benefits of consistency in image denoising with steerable wavelets

Michaël Unser, Emrah Bostan, Bugra Tekin, Ulugbek Kamilov

The steerable wavelet transform is a redundant image representation with the remarkable property that its basis functions can be adaptively rotated to a desired orientation. This makes the transform well-suited to the design of wavelet-based algorithms app ...

2013

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Michaël Unser, Ulugbek Kamilov, Emrah Bostan

Cycle spinning is a widely used approach for improving the performance of wavelet-based methods that solve linear inverse problems. Extensive numerical experiments have shown that it significantly improves the quality of the recovered signal without increa ...

IEEE Institute of Electrical and Electronics Engineers2014