Publications related to Self-Similarity: Part I—Splines and Operators

Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization

Michaël Unser, Julien René Pierre Fageot, John Paul Ward

Splines come in a variety of flavors that can be characterized in terms of some differential operator L. The simplest piecewise-constant model corresponds to the derivative operator. Likewise, one can extend the traditional notion of total variation by con ...

2017

Parameter Determination of Sensor Stochastic Models under Covariate Dependency

Jan Skaloud, Stéphane Guerrier, Philipp Clausen

The proliferation of (low-cost) sensors provokes new challenges in data fusion. This is related to the correctness of stochastic characterization that is a prerequisite for optimal estimation of parameters from redundant observations. Different (statistica ...

2017

On sums of eigenvalues of elliptic operators on manifolds

Joachim Stubbe

We use the averaged variational principle introduced in a recent article on graph spectra [10] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kroger's bound ...

European Mathematical Soc2017

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

Annalisa Buffa, Pablo Antolin Sanchez

In this paper, we propose an isogeometric method for solving the linear nearly-incompressible elasticity problem. The method is similar to the (B) over bar formulation where the volumetric strain is projected on a lower degree spline space in order to prev ...

Elsevier Science Sa2017

Designing Statistical Estimators That Balance Sample Size, Risk, and Computational Cost

Volkan Cevher

This paper proposes a tradeoff between computational time, sample complexity, and statistical accuracy that applies to statistical estimators based on convex optimization. When we have a large amount of data, we can exploit excess samples to decrease stati ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Optimized distributed implementation of multiparty interactions with Restriction

Joseph Sifakis

Using high level coordination primitives allows enhanced expressiveness of component-based frameworks to cope with the inherent complexity of present-day systems designs. Nonetheless, their distributed implementation raises multiple issues, regarding both ...

Elsevier2015

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

Annalisa Buffa, Rafael Vazquez Hernandez

In this paper we introduce methods for electromagnetic wave propagation, based on splines and on T-splines. We define spline spaces which form a De Rham complex and following the isogeometric paradigm, we map them on domains which are (piecewise) spline or ...

2014

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Michaël Unser, Virginie Sophie Uhlmann

Cardinal Hermite exponential spline functions are a generalization of the classical cardinal Hermite polynomial splines. In this work we consider the 4-dimensional space

ε _{ 4 }

= {1, x,

e ^{ \alpha x }

,

e ^{ -\alpha x }

} with α ∈ $ ℝ ^{ + } ...

SMAI-SIGMA2014

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Pramod Rastogi, Rishikesh Dilip Kulkarni

This Letter proposes a new method for the estimation of the first-and second-order phase derivatives corresponding to strain and curvature from a single fringe pattern in digital holographic interferometry. The method is based on a discrete energy separati ...

Optical Soc Amer2014

Exponential Hermite Splines For The Analysis Of Biomedical Images

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We present a new exponential B-spline basis that enables the construction of active contours for the analysis of biomedical images. Our functions generalize the well-known polynomial Hermite B-splines and provide us with a direct control over the tangents ...

Ieee2014

Self-Similarity: Part I—Splines and Operators

Graph Chatbot

Chat with Graph Search

Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization

Parameter Determination of Sensor Stochastic Models under Covariate Dependency

On sums of eigenvalues of elliptic operators on manifolds

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

Designing Statistical Estimators That Balance Sample Size, Risk, and Computational Cost

Optimized distributed implementation of multiparty interactions with Restriction

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Exponential Hermite Splines For The Analysis Of Biomedical Images

On sums of eigenvalues of elliptic operators on manifolds

Designing Statistical Estimators That Balance Sample Size, Risk, and Computational Cost

Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization

Parameter Determination of Sensor Stochastic Models under Covariate Dependency

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Optimized distributed implementation of multiparty interactions with Restriction

Exponential Hermite Splines For The Analysis Of Biomedical Images

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations