Lionel Moisan

A-contrario ringing detection and Shannon-compliant images (2009)

Blanchet, Gwendoline, Moisan, Lionel, Rougé, Bernard

According to Shannon Sampling Theory, cardinal sine (sinc) interpolation is the optimal way to reach subpixel accuracy from a properly sampled digital image. However, for most images sinc...

Periodic plus Smooth Image Decomposition (2009)

Moisan, Lionel

When the Discrete Fourier Transform of an image is computed, the image is implicitly assumed to be periodic. Since there is no reason for opposite borders to be alike, the ``periodic'' image...

A-contrario ringing detection and Shannon-compliant images (2009)

Blanchet, Gwendoline, Moisan, Lionel, Rougé, Bernard

According to Shannon Sampling Theory, cardinal sine (sinc) interpolation is the optimal way to reach subpixel accuracy from a properly sampled digital image. However, for most images sinc...

Periodic plus Smooth Image Decomposition (2009)

Moisan, Lionel

When the Discrete Fourier Transform of an image is computed, the image is implicitly assumed to be periodic. Since there is no reason for opposite borders to be alike, the ``periodic'' image...

An a-contrario approach for sub-pixel change detection in satellite imagery (2009)

Robin, Amandine, Moisan, Lionel

This paper presents a new method for unsupervised sub-pixel change detection using image series. The method is based on the definition of a probabilistic criterion capable of assessing the level of...

An a-contrario approach for sub-pixel change detection in satellite imagery (2009)

Robin, Amandine, Moisan, Lionel

This paper presents a new method for unsupervised sub-pixel change detection using image series. The method is based on the definition of a probabilistic criterion capable of assessing the level of...

c ○ 2000 Kluwer Academic Publishers. Manufactured in The Netherlands. Meaningful Alignments (2008)

Agnès Desolneux, Lionel Moisan, Jean-michel Morel

Abstract. We propose a method for detecting geometric structures in an image, without any a priori information. Roughly speaking, we say that an observed geometric event is “meaningful ” if the...

Measuring the global phase coherence of an image (2008)

Blanchet, Gwendoline, Moisan, Lionel, Rougé, Bernard

The Fourier phase spectrum of an image is well known to contain crucial information about the image geometry, in particular its contours. In this paper, we show that it is also strongly related to...

Measuring the global phase coherence of an image (2008)

Blanchet, Gwendoline, Moisan, Lionel, Rougé, Bernard

The Fourier phase spectrum of an image is well known to contain crucial information about the image geometry, in particular its contours. In this paper, we show that it is also strongly related to...

Total Variation denoising using posterior expectation (2008)

Louchet, Cécile, Moisan, Lionel

Total Variation image denoising, generally formulated in a variational setting, can be seen as a Maximum A Posteriori (MAP) Bayesian estimate relying on a simple explicit image prior. In this...

Total Variation denoising using posterior expectation (2008)

Louchet, Cécile, Moisan, Lionel

Total Variation image denoising, generally formulated in a variational setting, can be seen as a Maximum A Posteriori (MAP) Bayesian estimate relying on a simple explicit image prior. In this...

A Depth-Compatible Multiscale Analysis of Movies (2007)

Lionel Moisan

Using an axiomatic formulation, we devise a diffusion equation on movies that preserves the 3D structure of objects, an interesting property for depth recovery tasks. Since this equation presents a...

Contents (2007)

Agnes Desolneux, Sayd Ladjap, Lionel Moisan, Jean-michel Morel

We address the problem of computing a local orientation map in a digital image. We show that standard image grey level quantization causes a strong bias in the repartition of orientations, hindering...

Geometric computation of curvature driven plane curve evolution (2007)

Lionel Moisan

We present a new numerical scheme for planar curve evolution with a normal velocity equal to F () where is the curvature and F is a nondecreasing function such that F (0) = 0 and either x 7! F (x 3)...

Meaningful Alignments Agn`es Desolneux (2007)

Lionel Moisan, Jean-michel Morel

We propose a method for detecting geometric structures in an image, without any a priori information. Roughly speaking, we say that an observed geometric event is "meaningful " if...

Perspective invariant movie analysis for depth recovery (2007)

Lionel Moisan

Processing entire movies and taking advantage of the inter-frame redundancy is the key of shape-from-motion analysis. Thus, recovering the depth of a fixed scene from an image sequence can be viewed...

Geometric computation of curvature driven plane curve evolution (2007)

Lionel Moisan

We present a new numerical scheme for planar curve evolution with a normal velocity equal to F () where is the curvature and F is a nondecreasing function such that F (0) = 0 and either x 7! F (x 3)...

Meaningful Alignments Agnes Desolneux (2007)

Lionel Moisan, Jean-michel Morel

We propose a method for detecting geometric structures in an image, without any a priori information. Roughly speaking, we say that an observed geometric event is \meaningful " if the...

Tracking of Cells in a Sequence of Images Using a Low-Dimension Image Representation (2007)

Primet, Maël, Demarez, Alice, Taddei, François, Lindner, Ariel, Moisan, Lionel

We propose a new image analysis method to segment and track cells in a growing colony. By using an intermediate low-dimension image representation yielded by a reliable over-segmentation process, we...

Tracking of Cells in a Sequence of Images Using a Low-Dimension Image Representation (2007)

Primet, Maël, Demarez, Alice, Taddei, François, Lindner, Ariel, Moisan, Lionel

We propose a new image analysis method to segment and track cells in a growing colony. By using an intermediate low-dimension image representation yielded by a reliable over-segmentation process, we...

Preface (2006)

Agnès Desolneux, Lionel Moisan, Jean-michel Morel

Angeles. It is also being taught by Andrès Almansa at the Facultad de Ingeneria, Montevideo. This text will be of interest to several kinds of audiences. Our teaching experience proves that...

Preface (2006)

Agnès Desolneux, Lionel Moisan, Jean-michel Morel

Angeles. It is also being taught by Andrès Almansa at the Facultad de Ingeneria, Montevideo. This text will be of interest to several kinds of audiences. Our teaching experience proves that...

Approche a contrario pour la détection de changements à partir d'images satellite basse résolution (2005)

ROBIN, Amandine, MOISAN, Lionel

- Nous considérons le problème du suivi de végétation et de la détection de changements à partir de séquences d'images satellite présentant une forte répétitivité temporelle mais une...

Maximal meaningful events and applications to image analysis (2003)

Desolneux, Agnès, Moisan, Lionel, Morel, Jean-Michel

We discuss the mathematical properties of a recently introduced method for computing geometric structures in a digital image without any a priori information. This method is based on a basic...

Variational Snake Theory (2002)

Agnes Desolneux, Variational Snake Theory, Lionel Moisan, Jean-michel Morel

In this chapter, we review briey the theory of edge detection and its non local version, the \snake", or \active contour" theory. The snakes are curves minimizing locally a contrast and...

A Probabilistic Criterion to Detect Rigid Point Matches between Two Images and Estimate the Fundamental Matrix (2002)

Lionel Moisan, Berenger Stival, Ecole Normale

The perspective projections of n physical points on two views (stereovision) are constrained as soon as n 8. However, to prove in practice the existence of a rigid motion between two images, more...

Computational Gestalts and Perception Thresholds (2002)

Agnès Desolneux, Lionel Moisan, Jean-michel Morel

In 1923, Max Wertheimer proposed a research programme and method in visual perception.

Extrapolation de spectre et variation totale pondérée (2001)

MOISAN, Lionel

- Etant donnée une image dont le spectre est connu sur un certain domaine, comment extrapoler ce spectre à un domaine plus étendu en limitant au maximum les effets de Gibbs sur l'image ? Nous...

Automatic image analysis : a challenge for Computer Vision (2001)

DESOLNEUX, Agnès, MOISAN, Lionel, MOREL, Jean-Michel

- Nous exposons une méthode récente pour trouver des structures géométriques arbitraires dans une image, sans information ou modèle a priori. Par un principe de la perception dû à Helmholtz,...

Edge detection by Helmholtz principle (2001)

Lionel Moisan, Jean-michel Morel

We apply to edge detection a recently introduced method for computing geometric structures in a digital image, without any a priori information. According to a basic principle of perception due to...

Edge detection by Helmholtz principle (2001)

Lionel Moisan, Jean-michel Morel

We apply to edge detection a recently introduced method for computing geometric structures in a digital image, without any a priori information. According to a basic principle of perception due to...

Geometric multiscale representation of numerical images (1999)

Georges Koep Er, Lionel Moisan

Abstract. We explain how a discrete grey level image can be numerically translated into a completely pixel independent geometric structure made of oriented curves with grey levels attached to them....