Publications related to Torsion of a curve

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

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

Michaël Unser, Daniel Andreas Schmitter, Ricard Delgado Gonzalo

Interpolatory basis functions are helpful to specify parametric curves or surfaces that can be modified by simple user-interaction. Their main advantage is a characterization of the object by a set of control points that lie on the shape itself (i.e., curv ...

2016

Fast and accurate CMB computations in non-flat FLRW universes

Julien Lesgourgues

We present a new method for calculating CMB anisotropies in a non-flat Friedmann universe, relying on a very stable algorithm for the calculation of hyperspherical Bessel functions, that can be pushed to arbitrary precision levels. We also introduce a new ...

Iop Publishing Ltd2014

Optimization-based solutions to constrained trajectory-tracking and path-following problems

Timm Faulwasser

The prototypical problem in control theory is the stabilization of a set point. When, instead of a set point, a time-varying reference needs to be stabilized, then the problem is called trajectory tracking. Typical examples of trajectory-tracking problems ...

Shaker Verlag2013

Full-field drift Hamiltonian particle orbits in 3D geometry

Jonathan Graves, Wilfred Anthony Cooper, Stephan Brunner

A Hamiltonian/Lagrangian theory to describe guiding centre orbit drift motion which is canonical in the Boozer coordinate frame has been extended to include full electromagnetic perturbed fields in anisotropic pressure 3D equilibria with nested magnetic fl ...

IOP2011

Full-Field Drift Hamiltonian Particle Orbit in 3D Geometry

Jonathan Graves, Wilfred Anthony Cooper, Stephan Brunner

A Hamiltonian/Lagrangian theory to describe guiding centre orbit drift motion which is canonical in the Boozer coordinate frame has been extended to include full electromagnetic perturbed fields in anisotropic pressure 3D equilibria with nested magnetic fl ...

Institute of Physics2011

Full-field drift Hamiltonian particle orbits in axisymmetric tokamak geometry

Jonathan Graves, Wilfred Anthony Cooper

A Hamiltonian/Lagrangian theory to describe guiding center orbit drift motion that is canonical in Boozer magnetic coordinates is developed to include full electrostatic and electromagnetic perturbed fields in axisymmetric tokamak geometry. Furthermore, th ...

AIP2011

DNA Topology

Guillaume Witz

This thesis explores different aspects of DNA topology through experimental and numerical techniques. Topology is a vast mathematical field, that deals with the spatial properties of objects undergoing continuous deformations, but here it is restricted to ...

EPFL2010

Lorentz-breaking massive gravity in curved space

Diego Blas Temino

A systematic study of the different phases of Lorentz-breaking massive gravity in a curved background is performed. For tensor and vector modes, the analysis is very close to that of Minkowski space. The most interesting results are in the scalar sector wh ...

2009

A path integral formalism of DNA looping probability

Ludovica Cotta-Ramusino

In this thesis we describe a path integral formalism to evaluate approximations to the probability density function for the location and orientation of one end of a continuum polymer chain at thermodynamic equilibrium with a heat bath. We concentrate on th ...

EPFL2008

Torsion of a curve

Graph Chatbot

Chat with Graph Search

An Inner-Product Calculus for Periodic Functions and Curves

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

Fast and accurate CMB computations in non-flat FLRW universes

Optimization-based solutions to constrained trajectory-tracking and path-following problems

Full-field drift Hamiltonian particle orbits in 3D geometry

Full-Field Drift Hamiltonian Particle Orbit in 3D Geometry

Full-field drift Hamiltonian particle orbits in axisymmetric tokamak geometry

DNA Topology

Lorentz-breaking massive gravity in curved space

A path integral formalism of DNA looping probability

An Inner-Product Calculus for Periodic Functions and Curves

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

Optimization-based solutions to constrained trajectory-tracking and path-following problems

Fast and accurate CMB computations in non-flat FLRW universes

Lorentz-breaking massive gravity in curved space

Full-field drift Hamiltonian particle orbits in axisymmetric tokamak geometry

Full-field drift Hamiltonian particle orbits in 3D geometry

A path integral formalism of DNA looping probability

DNA Topology

Full-Field Drift Hamiltonian Particle Orbit in 3D Geometry