Publications related to N-sphere

Direct observation of nondiffusive motion of a Brownian particle

László Forró, Andrzej Kulik, Sylvia Jeney, Branimir Lukic

The thermal position fluctuations of a single micron-sized sphere immersed in a fluid were recorded by optical trapping interferometry with nanometer spatial and microsecond temporal resolution. We find, in accord with the theory of Brownian motion includi ...

2005

Correspondence principle between spherical and Euclidean wavelets

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...

2005

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Submicron periodic poling and chemical patterning of GaN

Nicolas Grandjean

Periodic polarity (PePo) GaN films are grown by molecular-beam epitaxy. A high Mg doping is used to reverse the film polarity from Ga to N. An etching step is then performed to define the PePo pattern. Ultrasharp inversion domain boundaries between Ga- and ...

2005

Hydrogel Microspheres: Influence of Chemical Composition on Surface Morphology, Local Elastic Properties, and Bulk Mechanical Characteristics

Andrzej Kulik, Jutta Christine Wandrey

Hydrogel microspheres, beads, and capsules of uniform size, differing in their chem. compn., have been prepd. by electrostatic complex formation of sodium alginate with divalent cations and polycations. These have served as model spheres to study the influ ...

2004

Recirculation within a fluid sphere at moderate Reynolds numbers

David Andrew Barry

Motion of a single fluid sphere is described by two theories, each characterized by different levels of Hill's vortex circulation within the sphere. An existing experimental data set giving measurements of vertical velocity along the major axis of the sphe ...

2002

Dynamic triangulations for efficient 3D simulation of granular materials

Jean-Albert Ferrez

Granular materials are omnipresent in many fields ranging from civil engineering to food, mining and pharmaceutical industries. Often considered a fourth state of matter, they exhibit specific phenomena such as segregation, arching effects, pattern formati ...

EPFL2001

Wavelets on the 2-sphere and related manifolds

Pierre Vandergheynst

We present a group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) × R*+, ...

1999

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Pierre Vandergheynst

We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of general coherent states associated to square integrable group representations. The parameter space X of our CWT is t ...

1999

Metrics of constant curvature on a sphere with two conical singularities

Marc Troyanov

Using methods based on (complex) projective geometry we give a classification of all metrics with constant curvature on a sphere with two conical singularities. ...

Springer-Verlag1989

N-sphere

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Direct observation of nondiffusive motion of a Brownian particle

Correspondence principle between spherical and Euclidean wavelets

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Submicron periodic poling and chemical patterning of GaN

Hydrogel Microspheres: Influence of Chemical Composition on Surface Morphology, Local Elastic Properties, and Bulk Mechanical Characteristics

Recirculation within a fluid sphere at moderate Reynolds numbers

Dynamic triangulations for efficient 3D simulation of granular materials

Wavelets on the 2-sphere and related manifolds

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Metrics of constant curvature on a sphere with two conical singularities

Recirculation within a fluid sphere at moderate Reynolds numbers

Direct observation of nondiffusive motion of a Brownian particle

Hydrogel Microspheres: Influence of Chemical Composition on Surface Morphology, Local Elastic Properties, and Bulk Mechanical Characteristics

Submicron periodic poling and chemical patterning of GaN

Metrics of constant curvature on a sphere with two conical singularities

Wavelets on the 2-sphere and related manifolds

Dynamic triangulations for efficient 3D simulation of granular materials

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Correspondence principle between spherical and Euclidean wavelets

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images