Publications related to A Family of Smooth and Interpolatory Basis Functions for Parametric Curve and Surface Representation

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

Elsevier2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

MATHICSE2015

Ellipse-Preserving Hermite Interpolation and Subdivision

Michaël Unser

We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint interpolation of points and associated tangents on a curve with the ability t ...

Elsevier2015

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We propose a novel active contour for the analysis of filament-like structures and boundaries—features that traditional snakes based on closed curves have difficulties to delineate. Our method relies on a parametric representation of an open curve involvin ...

IEEE2014

Enhanced Groove Geometry for Herringbone Grooved Journal Bearings

Jürg Alexander Schiffmann

Although gas-lubricated herringbone grooved journal bearings (HGJB) are known for high rotordynamic stability thresholds, small clearance to diameter ratios are required for stable rotor operation. Tight clearances not only increase bearing losses but also ...

Asme2013

Exponential splines and minimal-support bases for curve representation

Michaël Unser, Philippe Thévenaz, Ricard Delgado Gonzalo

Our interest is to characterize the spline-like integer-shift-invariant bases capable of reproducing exponential polynomial curves. We prove that any compact-support function that reproduces a subspace of the exponential polynomials can be expressed as the ...

Elsevier2012

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Gonçalo Pena

In this thesis we address the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators. First, we present the spectral element method and the basic to ...

EPFL2009

From Lagrange to Shannon...and Back: Another Look at Sampling

Martin Vetterli, Paolo Prandoni

Classical digital signal processing (DSP) lore tells us the tale of a continuous-time primeval signal, of its brutal sampling, and of the magic sinc interpolation that, under the aegis of bandlimitedness, brings the original signal back to (continuous) lif ...

2009

Geometrical reconstruction of curves and surfaces using NURBS

Sylvain Rouge

The aim of this project is the analysis of different approaches for curve and surface reconstruction and the development of a related MATLAB library. We initially study the Lagrange polynomial interpolation, then the Bezier, the B-splines and the NURBS cur ...

2008

A Family of Smooth and Interpolatory Basis Functions for Parametric Curve and Surface Representation

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INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

An Inner-Product Calculus for Periodic Functions and Curves

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Ellipse-Preserving Hermite Interpolation and Subdivision

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Enhanced Groove Geometry for Herringbone Grooved Journal Bearings

Exponential splines and minimal-support bases for curve representation

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

From Lagrange to Shannon...and Back: Another Look at Sampling

Geometrical reconstruction of curves and surfaces using NURBS

Ellipse-Preserving Hermite Interpolation and Subdivision

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

From Lagrange to Shannon...and Back: Another Look at Sampling

Exponential splines and minimal-support bases for curve representation

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

An Inner-Product Calculus for Periodic Functions and Curves

Geometrical reconstruction of curves and surfaces using NURBS

Enhanced Groove Geometry for Herringbone Grooved Journal Bearings

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces