Publications by Xavier Bresson

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

Multiscale Active Contours

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper, we propose an evolution equation for the active contours in scale spaces. This evolution equation is based on the Polyakov functional that has been first introduced in physics and has been then used in image processing in ...

SPIE2005

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

Multiscale Active Contours

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper, we propose two approaches to define an evolution equation for the active contours in scale spaces. The evolution equation is based on the Polyakov functional that has been first introduced in physics and has been then used in image processin ...

2004

White Matter Mapping in DT-MRI Using Geometric Flows

Jean-Philippe Thiran, Reto Meuli, Patric Hagmann, Xavier Bresson, Olivier Cuisenaire, Lisa Jonasson

We present a 3D geometric flow designed to evolve in Diffusion Tensor Magnetic Resonance Images(DT-MRI) along fiber tracts by measuring the diffusive similarity between voxels. Therefore we define a front propagation speed that is proportional to the simil ...

EUROCAST2003

A Priori Information in Image Segmentation: Energy Functional based on Shape Statistical Model and Image Information

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper, we propose an energy functional to segment objects whose global shape is ...

IEEE2003

Geometric Moments in Scale-Spaces

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper we present a generalization of geometric moments in scale-spaces derived from the general heat diffusion equation, with a particular interest for the ...

IEEE2002

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

Multiscale Active Contours

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

Multiscale Active Contours

White Matter Mapping in DT-MRI Using Geometric Flows

A Priori Information in Image Segmentation: Energy Functional based on Shape Statistical Model and Image Information

Geometric Moments in Scale-Spaces

White Matter Mapping in DT-MRI Using Geometric Flows

Multiscale Active Contours

A Priori Information in Image Segmentation: Energy Functional based on Shape Statistical Model and Image Information

Geometric Moments in Scale-Spaces

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

Multiscale Active Contours

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