Concept

Anisotropic diffusion

Publications associées (57)

Total Variation Regularization for Manifold-Valued Data

We consider total variation (TV) minimization for manifold-valued data. We propose a cyclic proximal point algorithm and a parallel proximal point algorithm to minimize TV functionals with l(p) -type data terms in the manifold case. These algorithms are ba ...

Siam Publications2014

Harmonic Active Contours

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso, Virginia Estellers Casas

We propose a segmentation method based on the geometric representation of images as two-dimensional manifolds embedded in a higher dimensional space. The segmentation is formulated as a minimization problem, where the contours are described by a level set ...

Institute of Electrical and Electronics Engineers2014

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

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

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

A Dual Algorithm For L1-Regularized Reconstruction Of Vector Fields

Michaël Unser, Emrah Bostan, Pouya Dehghani Tafti

Ieee2012

Segmentation and Grid Generation for Numerical Simulations of VAD Connections with Patientspecific Data

Alfio Quarteroni, Simone Deparis, Elena Faggiano, Jean Bonnemain, Ludwig Von Segesser

Objectives: We are interested in the numerical simulation of the anastomotic region comprised between outflow canula of LVAD and the aorta. Segmentation, geometry reconstruction and grid generation from patient specific data remain an issue because of the ...

2011

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