Publications related to Covariance and contravariance of vectors

Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

It is an old problem of Danzer and Rogers to decide whether it is possible arrange O(1/epsilon) points in the unit square so that every rectangle of area epsilon contains at least one of them. We show that the answer to this question is in the negative if ...

Springer-Verlag Berlin2011

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Philippe Müllhaupt, Basile Graf

A modeling framework is proposed for the control of rigid and flexible cable-like systems such as cranes, together with a systematic algorithm for computing flat outputs of mechanical systems for which the flat output is a linear combi- nation of free coor ...

IEEE2010

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Philippe Müllhaupt, Basile Graf

A modeling framework is proposed for the control of rigid and flexible cable-like systems such as cranes, together with a systematic algorithm for computing flat outputs of mechanical systems for which the flat output is a linear combination of the free co ...

2010

On the power of combinatorial and spectral invariants

We extend the traditional spectral invariants (spectrum and angles) by a stronger polynomial time computable graph invariant based on the angles between projections of standard basis vectors into the eigenspaces (in addition to the usual angles between sta ...

2010

Fast Space-Variant Elliptical Filtering Using Box Splines

Michaël Unser, Kunal Narayan Chaudhury

The efficient realization of linear space-variant (non-convolution) filters is a challenging computational problem in image processing. In this paper, we demonstrate that it is possible to filter an image with a Gaussian-like elliptic window of varying siz ...

IEEE2010

A linear equation for Minkowski sums of polytopes relatively in general position

Christophe Weibel

The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the sum can be attained by this family. We present a new linear equation that is sa ...

2010

Metastable supersymmetry breaking in N=2 non-linear sigma-models

Claudio Scrucca, Jean-Claude Jacot

We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories ...

Elsevier2010

A Space Vector PWM Scheme for Multifrequency Output Voltage Generation With Multiphase Voltage-Source Inverters

Drazen Dujic

Multiphase variable-speed drives, supplied from two-level voltage-source inverters (VSIs), are nowadays considered for various industrial applications. Depending on the drive structure and/or the motor design, the VSI is required to generate either sinusoi ...

Institute of Electrical and Electronics Engineers2008

Shift-Invariant Spaces from Rotation-Covariant Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in

\mathbb{R}^{ 2 }

. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized ...

Elsevier2008

Higher Order SVD Analysis for Dynamic Texture Synthesis

Sabine Süsstrunk, Luciano Sbaiz, Roberto Costantini

Videos representing flames, water, smoke, etc. are often defined as dynamic textures: "textures" because they are characterized by redundant repetition of a pattern and "dynamic" because this repetition is also in time and not only in space. Dynamic textur ...

Institute of Electrical and Electronics Engineers2008

Covariance and contravariance of vectors

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Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

On the power of combinatorial and spectral invariants

Fast Space-Variant Elliptical Filtering Using Box Splines

A linear equation for Minkowski sums of polytopes relatively in general position

Metastable supersymmetry breaking in N=2 non-linear sigma-models

A Space Vector PWM Scheme for Multifrequency Output Voltage Generation With Multiphase Voltage-Source Inverters

Shift-Invariant Spaces from Rotation-Covariant Functions

Higher Order SVD Analysis for Dynamic Texture Synthesis

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Metastable supersymmetry breaking in N=2 non-linear sigma-models

On the power of combinatorial and spectral invariants

A linear equation for Minkowski sums of polytopes relatively in general position

Fast Space-Variant Elliptical Filtering Using Box Splines

Higher Order SVD Analysis for Dynamic Texture Synthesis

Shift-Invariant Spaces from Rotation-Covariant Functions

Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

A Space Vector PWM Scheme for Multifrequency Output Voltage Generation With Multiphase Voltage-Source Inverters