Publications related to Manifolds

Orthogonal Neighborhood Preserving Projections

Orthogonal Neighborhood Preserving Projections (ONPP) is a linear dimensionality reduction technique which attempts to preserve both the intrinsic neighborhood geometry of the data samples and the global geometry. The proposed technique constructs a weight ...

IEEE2005

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

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

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Klaus-Dieter Semmler, Thomas Gauglhofer

Summary: We explicitly give

calT

, the Teichmüller space of four-holed spheres (which we call

X

pieces) in trace coordinates, as well as its modular group and a fundamental domain for the action of this group on

calT

which is its moduli space. As a co ...

2005

An exact formula for "tooth-to-tooth" permeance

Yves Perriard, Marcel Jufer, Miroslav Markovic

We present a new, completely original exact method to determine the permeance between two opposing iron teeth. This configuration is important because it is often encountered in electrical machines and apparatus. The method is based on conformal mapping. T ...

2005

Some remarks on the uniformizing function in genus 2

Robert Silhol

The authors propose a numerical method for the uniformization of Riemann surfaces and algebraic curves in genus two with highly accurate results. Let

G

be a Fuchsian group acting on the unit disk

Bbb D

, and let

S = Bbb D / G

. It is well known that $S ...

Kluwer Academic Publishers, Springer2005

Equivariant embeddings of trees into hyperbolic spaces

Nicolas Monod

We study isometric actions of tree automorphism groups on the infinite-dimensional hyperbolic spaces. On the one hand, we exhibit a general one-parameter family of such representations and analyse the corresponding equivariant embeddings of the trees, show ...

2005

On the geometry of simple closed geodesics

Hugo Parlier

The leitmotif of this dissertation is the search for length formulas and sharp constants in relation with simple closed geodesics on hyperbolic compact Riemann surfaces. The main tools used are those of hyperbolic trigonometry, topological properties of si ...

EPFL2004

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

Manifolds

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Orthogonal Neighborhood Preserving Projections

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

Direct observation of nondiffusive motion of a Brownian particle

Symmetry breaking in mechanical systems

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

An exact formula for "tooth-to-tooth" permeance

Some remarks on the uniformizing function in genus 2

Equivariant embeddings of trees into hyperbolic spaces

On the geometry of simple closed geodesics

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

Orthogonal Neighborhood Preserving Projections

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

On the geometry of simple closed geodesics

Direct observation of nondiffusive motion of a Brownian particle

Symmetry breaking in mechanical systems

Equivariant embeddings of trees into hyperbolic spaces

An exact formula for "tooth-to-tooth" permeance

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Some remarks on the uniformizing function in genus 2

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