Publications related to Hyperbolic geometry

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Pedro Miguel Nunes Pereira de Almeida Reis

We report a novel mode of quasi-static oscillatory crack propagation when a cutting tool is driven through a thin polymer film [6,7]. In our experiments, for tools with a large enough width, the crack tip follows a highly periodic path, leaving behind a st ...

2006

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

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

Gravitating field-theoretical branes and their excitations

Katarzyna Zuleta Estrugo

This thesis is devoted to studying field-theoretical branes in warped geometries, with emphasis on brane excitations and properties of background solutions. Firstly, we examine the features of a model in which our universe is represented by a local string- ...

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

Analytical modeling of the apparent d(33) piezoelectric coefficient determined by the direct quasistatic method for different boundary conditions

Nava Setter, Dragan Damjanovic

The longitudinal piezoelectric coefficient d(33) measured by the quasistatic (Berlincourt-type) method is strongly dependent on the sample aspect ratio (thickness/lateral dimension) and the type of contacts used to collect the charge and apply the pressure ...

2005

Online Registration Tool and Markerless Tracking for Augmented Reality

Touradj Ebrahimi, Yousri Abdeljaoued

This paper presents a markerless tracking algorithm for augmented reality with no constraints in the geometry of the scene. Users pose is estimated using natural feature point extraction and tracking, and the epipolar geometry constraint between camera vi ...

2005

Semantics-based representation of virtual environments

Daniel Thalmann, Frédéric Vexo

In this paper we present an object representation based on the semantics and functionality of interactive digital items - virtual objects - within a virtual environment (VE). We consider every object participating in a VE application not only as a 3D shape ...

2005

Chiral hexagonal cellular sandwich structures: dynamic response

Alessandro Spadoni

Periodic cellular configurations with negative Poisson's ratio have attracted the attention of several researchers because of their superior dynamic characteristics. Among the geometries featuring a negative Poisson's ratio, the chiral topology possesses a ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2005

Catalytic activity of FeZSM-5 zeolites in benzene hydroxylation by N2O: The role of geometry characterized by fractal dimensions

Lioubov Kiwi

The fractal dimensions of FeZSM-5 zeolites were used to characterize the change in their geometry depending on different post-synthesis treatments. The fractal dimension values were estimated from the Dubinin-Astakhov isotherms of nitrogen adsorption and r ...

2005

Hyperbolic geometry

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Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Equivariant embeddings of trees into hyperbolic spaces

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

Gravitating field-theoretical branes and their excitations

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

Analytical modeling of the apparent d(33) piezoelectric coefficient determined by the direct quasistatic method for different boundary conditions

Online Registration Tool and Markerless Tracking for Augmented Reality

Semantics-based representation of virtual environments

Chiral hexagonal cellular sandwich structures: dynamic response

Catalytic activity of FeZSM-5 zeolites in benzene hydroxylation by N2O: The role of geometry characterized by fractal dimensions

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

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

Equivariant embeddings of trees into hyperbolic spaces

Gravitating field-theoretical branes and their excitations

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

Analytical modeling of the apparent d(33) piezoelectric coefficient determined by the direct quasistatic method for different boundary conditions

Online Registration Tool and Markerless Tracking for Augmented Reality

Semantics-based representation of virtual environments

Chiral hexagonal cellular sandwich structures: dynamic response

Catalytic activity of FeZSM-5 zeolites in benzene hydroxylation by N2O: The role of geometry characterized by fractal dimensions