Publications related to The SURE-LET approach to image denoising

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Michaël Unser, Julien René Pierre Fageot, Arash Amini

The characteristic functional is the infinite-dimensional generalization of the Fourier transform for measures on function spaces. It characterizes the statistical law of the associated stochastic process in the same way as a characteristic function specif ...

Springer Birkhauser2014

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

Michaël Unser, Virginie Sophie Uhlmann, Pedram Pad

We study the issue of localization in the context of isotropic wavelet frames. We define a variance-type measure of localization and propose an algorithm based on calculus of variations to minimize this criterion under the constraint of a tight wavelet fra ...

IEEE2014

MMSE Estimation of Sparse Levy Processes

Michaël Unser, Arash Amini, Ulugbek Kamilov, Pedram Pad

We investigate a stochastic signal-processing framework for signals with sparse derivatives, where the samples of a Levy process are corrupted by noise. The proposed signal model covers the well-known Brownian motion and piecewise-constant Poisson process; ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Benefits of consistency in image denoising with steerable wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Bugra Tekin

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

Benefits Of Consistency In Image Denoising With Steerable Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Bugra Tekin

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 ...

Ieee2013

Benefits of Consistency in Image Denoising with Steerable Wavelets

Michaël Unser, Emrah Bostan, 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 ap ...

IEEE2013

Anisotropic Interpolation of Sparse Generalized Image Samples

Michaël Unser, Aurélien Bourquard

Practical image-acquisition systems are often modeled as a continuous-domain prefilter followed by an ideal sampler, where generalized samples are obtained after convolution with the impulse response of the device. In this paper, our goal is to interpolate ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Beyond Moore-Penrose: Sparse Pseudoinverse

Martin Vetterli, Mihailo Kolundzija, Ivan Dokmanic

Frequently, we use the Moore-Penrose pseudoinverse (MPP) even in cases when we do not require all of its defining properties. But if the running time and the storage size are critical, we can do better. By discarding some constraints needed for the MPP, we ...

2013

Graph Matching for Adaptation in Remote Sensing

Devis Tuia

We present an adaptation algorithm focused on the description of the data changes under different acquisition conditions. When considering a source and a destination domain, the adaptation is carried out by transforming one data set to the other using an a ...

Ieee-Inst Electrical Electronics Engineers Inc2013

The SURE-LET approach to image denoising

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On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

MMSE Estimation of Sparse Levy Processes

Benefits of consistency in image denoising with steerable wavelets

Benefits Of Consistency In Image Denoising With Steerable Wavelets

Benefits of Consistency in Image Denoising with Steerable Wavelets

Anisotropic Interpolation of Sparse Generalized Image Samples

Beyond Moore-Penrose: Sparse Pseudoinverse

Graph Matching for Adaptation in Remote Sensing

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Anisotropic Interpolation of Sparse Generalized Image Samples

Beyond Moore-Penrose: Sparse Pseudoinverse

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

Graph Matching for Adaptation in Remote Sensing

Benefits Of Consistency In Image Denoising With Steerable Wavelets

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

MMSE Estimation of Sparse Levy Processes

Benefits of Consistency in Image Denoising with Steerable Wavelets

Benefits of consistency in image denoising with steerable wavelets