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Vector calculus identities

Related publications (36)

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Regularized Interpolation for Noisy Images

Michaël Unser, Philippe Thévenaz, Sathish Ramani

Interpolation is the means by which a continuously defined model is fit to discrete data samples. When the data samples are exempt of noise, it seems desirable to build the model by fitting them exactly. In medical imaging, where quality is of paramount im ...

IEEE2010

Fractional Brownian Models For Vector Field Data

Michaël Unser, Pouya Dehghani Tafti

In this note we introduce a vector generalization of fractional Brownian motion. Our definition takes into account directional properties of vector fields-such as divergence, rotational behaviour, and interactions with coordinate transformations-that have ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Fractional Brownian Models for Vector Field Data

Michaël Unser, Pouya Dehghani Tafti

In this note we introduce a vector generalization of fractional Brownian motion. Our definition takes into account directional properties of vector fields—such as divergence, rotational behaviour, and interactions with coordinate transformations—that have ...

IEEE2010

Analytic Sensing: Noniterative Retrieval Of Point Sources From Boundary Measurements

Dimitri Nestor Alice Van De Ville, Thierry Blu, Djano Kandaswamy

We consider the problem of locating point sources in the planar domain from overdetermined boundary measurements of solutions of Poisson's equation. In this paper, we propose a novel technique, termed "analytic sensing," which combines the application of G ...

SIAM2009

On the coupling integrals arising in the method of moments formulation of laterally bounded structures

Juan Ramon Mosig, Ivica Stevanovic, Pedro Crespo Valero

A generic integral equation and method of moments formulation is presented for laterally bounded stratified media including planar metallization. The main asset of the developed approach is its flexibility, as it encompasses generic lateral boundary condit ...

2008

A three dimensional probe positioner

Ivo Furno, Xin Sun

In order to sort out the physics that is important in many plasma experiments, data in three dimensions 3D are becoming necessary. Access to the usual cylindrical vacuum vessel is typically restricted to radially or axially insertable probes that can pivot ...

2008

Modeling Unconstrained Self-Oriented Movements

Aude Billard, Biljana Petreska von Ritter-Zahony

Although straight point to point movements have been successfully modeled until now, many reaching movements are not straight neither in hand Cartesian nor in joint angles space, such as for example movements directed towards oneself. Addressing the genera ...

2008

Periodic Green's function for skewed 3-D lattices using the Ewald transformation

Juan Ramon Mosig, Ivica Stevanovic

We apply the Ewald acceleration technique to the efficient evaluation of periodic Green's functions (GFs) for 3-D skewed lattices like those arising in electromagnetic/photonic band-gap (EBG/PBG) structures and metamaterials (MTMs). We develop the expressi ...

2007

Some linear and nonlinear problems involving differential forms

Saugata Bandyopadhyay

In this thesis, we study some linear and nonlinear problems involving differential forms. We begin by studying the problem of pullbacks which asks the following question: for two given differential forms, if one is the pullback of the other via a diffeomor ...

EPFL2007

The generic Gröbner walk

The Gröbner walk is an algorithm for conversion between Gröbner bases for different term orders. It is based on the polyhedral geometry of the Gröbner fan and involves tracking a line between cones representing the initial and target term order. An importa ...

2007