Anisotropic diffusion

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Related publications (28)

Lattice dynamics and antiferroelectricity in PbZrO3 tested by x-ray and Brillouin light scattering

Nava Setter, Alexander Tagantsev, Kaushik Vaideeswaran

We report the results of a comprehensive study of the critical dynamics of the classical perovskite antiferroelectric PbZrO3. The combination of inelastic x-ray and diffuse x-ray scattering techniques and Brillouin light scattering was used. It is found th ...

American Physical Society2014

Elasto-Dynamic Behavior of a Two-Dimensional Square Lattice With Entrained Fluid II: Microstructural and Homogenized Models

Alessandro Spadoni, Vladimir Dorodnitsyn

This paper presents a detailed study of the pressure waves and effective mechanical properties of a closed-cell cellular solid with entrained fluid. Plane-harmonic-waves are analyzed in a periodic square with a finite-element model of a representative-volu ...

Asme2014

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

Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

Michaël Unser, Stamatios Lefkimmiatis

We introduce a generic convex energy functional that is suitable for both grayscale and vector-valued images. Our functional is based on the eigenvalues of the structure tensor, therefore it penalizes image variation at every point by taking into account t ...

Springer2013

Patch-based methods for variational image processing problems

Emmanuel D'Angelo

Image Processing problems are notoriously difficult. To name a few of these difficulties, they are usually ill-posed, involve a huge number of unknowns (from one to several per pixel!), and images cannot be considered as the linear superposition of a few p ...

EPFL2013

Improvements on "Fast Space-Variant Elliptical Filtering Using Box Splines"

Kunal Narayan Chaudhury, Sebanti Sanyal

It is well-known that box filters can be efficiently computed using pre-integration and local finite-differences. By generalizing this idea and by combining it with a nonstandard variant of the central limit theorem, we had earlier proposed a constant-time ...

Ieee-Inst Electrical Electronics Engineers Inc2012

Bi-Exponential Edge-Preserving Smoother

Michaël Unser, Daniel Sage, Philippe Thévenaz

Edge-preserving smoothers need not be taxed by a severe computational cost. We present, in this paper, a lean algorithm that is inspired by the bi-exponential filter and preserves its structure-a pair of one-tap recursions. By a careful but simple local ad ...

Institute of Electrical and Electronics Engineers2012

A Dual Algorithm for $ L _{ 1 } $ -Regularized Reconstruction of Vector Fields

Michaël Unser, Emrah Bostan, Pouya Dehghani Tafti

Recent advances in vector-field imaging have brought to the forefront the need for efficient denoising and reconstruction algorithms that take the physical properties of vector fields into account and can be applied to large volumes of data. With these req ...

IEEE2012

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