Publications related to Smoothness

Joint image reconstruction and segmentation using the Potts model

We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a suitable splitting into specific subproblems that can all be solved efficie ...

Institute of Physics2015

Complex turbulent flow in the atmospheric boundary layer: Lab and field measurements of embedded canopy wakes

Fernando Porté Agel, Corey Dean Markfort, Fernando Carbajo Fuertes

Natural and anthropogenic fragmented landscapes are pervasive and this complexity significantly affects the structure of the atmospheric boundary layer, causing classic similarity theories to break down. This is especially true in areas affected by wake tu ...

2015

Bifurcation at isolated singular points of the Hadamard derivative

Charles Stuart

For Banach spaces X and Y, we consider bifurcation from the line of trivial solutions for the equation F(lambda, u) = 0, where F : R x X -> Y with F(lambda, 0) = 0 for all lambda is an element of R. The focus is on the situation where F(lambda, center dot) ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2014

On linear and quadratic Lipschitz bounds for twice continuously differentiable functions

Dominique Bonvin, Grégory François, Gene Bunin

Lower and upper bounds for a given function are important in many mathematical and engineering contexts, where they often serve as a base for both analysis and application. In this short paper, we derive piecewise linear and quadratic bounds that are state ...

arXiv:1406.3991 [math.OC]2014

Principal Flows

Victor Panaretos, Tung Huy Pham, Zhigang Yao

We revisit the problem of extending the notion of principal component analysis (PCA) to multivariate datasets that satisfy nonlinear constraints, therefore lying on Riemannian manifolds. Our aim is to determine curves on the manifold that retain their cano ...

American Statistical Association2014

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

PURIFY: a new approach to radio-interferometric imaging

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Jason Douglas McEwen

In a recent article series, the authors have promoted convex optimization algorithms for radio-interferometric imaging in the framework of compressed sensing, which leverages sparsity regularization priors for the associated inverse problem and defines a m ...

Wiley-Blackwell2014

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

Michaël Unser, John Paul Ward

In this paper, we construct compactly supported radial basis functions that satisfy optimal approximation properties. Error estimates are determined by relating these basis functions to the class of Sobolev splines. Furthermore, we derive new rates for app ...

Siam Publications2014

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Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Smoothness

Joint image reconstruction and segmentation using the Potts model

Complex turbulent flow in the atmospheric boundary layer: Lab and field measurements of embedded canopy wakes

Bifurcation at isolated singular points of the Hadamard derivative

On linear and quadratic Lipschitz bounds for twice continuously differentiable functions

Principal Flows

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

PURIFY: a new approach to radio-interferometric imaging

Discrete Stochastic Microfacet Models

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

Additive Smooth Modelling with Splines

Graph Chatbot

Chat with Graph Search

Joint image reconstruction and segmentation using the Potts model

Discrete Stochastic Microfacet Models

On linear and quadratic Lipschitz bounds for twice continuously differentiable functions

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

PURIFY: a new approach to radio-interferometric imaging

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

Additive Smooth Modelling with Splines

Bifurcation at isolated singular points of the Hadamard derivative

Complex turbulent flow in the atmospheric boundary layer: Lab and field measurements of embedded canopy wakes

Principal Flows