Publications by Iva Bogdanova Vandergheynst

Continuous Wavelet Transform on the Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

In this paper we build a Continuous Wavelet Transform (CWT) on the upper sheet of the 2-hyperboloid

H_+^2

. First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO ...

2007

Scale-space analysis and active contours for omnidirectional images

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

A new generation of optical devices that generate images covering a larger part of the field of view than conventional cameras, namely catadioptric cameras, is slowly emerging. These omnidirectional images will most probably deeply impact computer vision i ...

Institute of Electrical and Electronics Engineers2007

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

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

Multiresolution Motion Estimation for Omnidirectional Images

Pascal Frossard, Pierre Vandergheynst, Ivana Tosic, Iva Bogdanova Vandergheynst

This paper presents a novel local motion estimation algorithm for omnidirectional images. The algorithm captures correlation between two spherical images of a scene, taken from arbitrary viewpoints, with the objective to reduce the encoding rate of these i ...

2005

Wavelets on the 2-Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We build wavelets on the 2-Hyperboloid. First, we define dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to

SO_0(1,2)

, we define a family of hyperbolic wavelets. The continuous wavelet transform (CW ...

2004

Discrete Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discr ...

EUSIPCO2004

Stereographic Frames of Wavelets on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this technical report the Discrete Wavelet Frames are build on the already existing Spherical Continuous Wavelet Transform. The spherical half-continuous frames are explored, i.e when the position on the sphere is kept continuous variable. Then, the con ...

2004

Virtual classroom for multimedia teaching on WWW

Pierre Vandergheynst, Murat Kunt, Iva Bogdanova Vandergheynst

The specific issue addressed in this paper is tailoring specific functionality to allow a group of teachers and students to carry out the learning process in Digital Signal and Image Processing in an electronic virtual environment that is meant to replace ...

EUSIPCO2002

Iva Bogdanova Vandergheynst

Graph Chatbot

Chat with Graph Search

Continuous Wavelet Transform on the Hyperboloid

Scale-space analysis and active contours for omnidirectional images

Wavelets on non-Euclidean manifolds

Stereographic Wavelet Frames on the Sphere

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

Multiresolution Motion Estimation for Omnidirectional Images

Wavelets on the 2-Hyperboloid

Discrete Wavelet Frames on the Sphere

Stereographic Frames of Wavelets on the Sphere

Virtual classroom for multimedia teaching on WWW

Wavelets on non-Euclidean manifolds

Multiresolution Motion Estimation for Omnidirectional Images

Discrete Wavelet Frames on the Sphere

Continuous Wavelet Transform on the Hyperboloid

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

Virtual classroom for multimedia teaching on WWW

Scale-space analysis and active contours for omnidirectional images

Stereographic Frames of Wavelets on the Sphere

Stereographic Wavelet Frames on the Sphere

Wavelets on the 2-Hyperboloid