Concept

Theta function

Related publications (136)

A Family of Fast Syndrome Based Cryptographic Hash Functions

Recently, some collisions have been exposed for a variety of cryptographic hash functions including some of the most widely used today. Many other hash functions using similar constructions can however still be considered secure. Nevertheless, this has dra ...

2005

Inclusion of the specular component in the assessment of bidirectional distribution functions based on digital imaging

Marilyne Andersen, Jean-Louis Scartezzini

To describe complex fenestration systems such as novel solar blinds, new glazing or coating materials, daylight and sunlight-redirecting devices, a detailed description of their optical properties is needed, given by their Bidirectional Transmission (or Re ...

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

Hexagonal Versus Orthogonal Lattices: A New Comparison Using Approximation Theory

Dimitri Nestor Alice Van De Ville, Thierry Blu

We provide a new comparison between hexagonal and orthogonal lattices, based on approximation theory. For each of the lattices, we select the “natural” spline basis function as generator for a shift-invariant function space; i.e., the tensor-product B-spli ...

IEEE2005

Image compression with learnt tree-structured dictionaries

Pierre Vandergheynst, Gianluca Monaci, Philippe Jost

In the present paper we propose a new framework for the construction of meaningful dictionaries for sparse representation of signals. The dictionary approach to coding and compression proves very attractive since decomposing a signal over a redundant set o ...

2004

3D Human Body Tracking using Deterministic Temporal Motion Models

Pascal Fua, Raquel Urtasun

By contrast, in this paper, we use temporal motion models based on Principal Component Analysis to formulate the tracking problem as one of minimizing differentiable objective functions. The differential structure of these functions is rich enough to yield ...

2004

A Variational Model for Object Segmentation Using Boundary Information, Statistical Shape Prior and the Mumford-Shah Functional

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper, we propose a variational model to segment an object belonging to a given scale space using the active contour method, a geometric shape prior and the Mumford-Shah functional. We define an energy functional composed by three complementary ter ...

2004

A Complete Family of Scaling Functions: The (α, τ)-Fractional Splines

Michaël Unser, Thierry Blu

We describe a new family of scaling functions, the (α, τ)-fractional splines, which generate valid multiresolution analyses. These functions are characterized by two real parameters: α, which controls the width of the scaling functions; and τ, which specif ...

IEEE2003

A general and operational representation of GEV models

Michel Bierlaire

Generalised Extreme Value models provide an interesting theoret- ical framework to develop closed-form random utility models. Unfor- tunately, few instances of this family are to be found as operational models in practice. The form of the model, based on a ...

2003

The PROSITE database, its status in 2002

Philipp Bucher, Amos Bairoch

PROSITE [Bairoch and Bucher (1994) Nucleic Acids Res., 22, 3583-3589; Hofmann et al. (1999) Nucleic Acids Res., 27, 215-219] is a method of identifying the functions of uncharacterized proteins translated from genomic or cDNA sequences. The PROSITE databas ...

2002

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