scholarly journals Image processing by topological asymptotic analysis

2009 ◽  
Vol 26 ◽  
pp. 24-44 ◽  
Author(s):  
Didier Auroux ◽  
Mohamed Masmoudi
Keyword(s):  
Image Processing ◽  
Asymptotic Analysis ◽  
Topological Asymptotic Analysis

scholarly journals A topological asymptotic analysis for the regularized grey-level image classification problem

2007 ◽  
Vol 41 (3) ◽  
pp. 607-625 ◽  
Author(s):  
Didier Auroux ◽  
Lamia Jaafar Belaid ◽  
Mohamed Masmoudi
Keyword(s):  
Asymptotic Analysis ◽  
Image Classification ◽  
Classification Problem ◽  
Grey Level ◽  
Topological Asymptotic Analysis ◽  
Grey Level Image

Topological asymptotic analysis of an optimal control problem modeled by a coupled system

2018 ◽  
Vol 109 (1-2) ◽  
pp. 1-26 ◽  
Author(s):  
L. Fernandez ◽  
A.A. Novotny ◽  
R. Prakash
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Asymptotic Analysis ◽  
Control Problem ◽  
Coupled System ◽  
Topological Asymptotic Analysis

Topological asymptotic analysis for tumor identification problem

2020 ◽  
pp. 1-17
Author(s):  
Nejmeddine Chorfi ◽  
Emna Ghezaiel ◽  
Maatoug Hassine
Keyword(s):  
Asymptotic Analysis ◽  
Identification Problem ◽  
Tumor Identification ◽  
Topological Asymptotic Analysis

scholarly journals Topological asymptotic analysis of the Kirchhoff plate bending problem

2010 ◽  
Vol 17 (3) ◽  
pp. 705-721 ◽  
Author(s):  
Samuel Amstutz ◽  
Antonio A. Novotny
Keyword(s):  
Asymptotic Analysis ◽  
Kirchhoff Plate ◽  
Plate Bending ◽  
Topological Asymptotic Analysis ◽  
Plate Bending Problem

scholarly journals A one-shot inpainting algorithm based on the topological asymptotic analysis

2006 ◽  
Vol 25 (2-3) ◽  
Author(s):  
Didier Auroux ◽  
Mohamed Masmoudi
Keyword(s):  
Asymptotic Analysis ◽  
Topological Asymptotic Analysis

scholarly journals A one-shot inpainting algorithm based on the topological asymptotic analysis

2006 ◽  
Vol 25 (2-3) ◽  
Author(s):  
Didier Auroux ◽  
Mohamed Masmoudi
Keyword(s):  
Asymptotic Analysis ◽  
Topological Asymptotic Analysis

scholarly journals Application of the topological gradient method to tomography

2010 ◽  
Vol Volume 13 - 2010 - Special... ◽  
Author(s):  
D. Auroux ◽  
L. Jaafar-Belaid ◽  
B. Rjaibi
Keyword(s):  
Magnetic Resonance Imaging ◽  
Magnetic Resonance ◽  
Asymptotic Analysis ◽  
Noisy Data ◽  
Resonance Imaging ◽  
Parallel Beam ◽  
Topological Gradient ◽  
Topological Asymptotic Analysis ◽  
International Audience ◽  
Gradient Approach

International audience A new method for parallel beam tomography is proposed. This method is based on the topological gradient approach. The use of the topological asymptotic analysis for detecting the main edges of the data allows us to filter the noise while inverting the Radon transform. Experimental results obtained on noisy data illustrate the efficiency of this promising approach in the case of Magnetic Resonance Imaging. We also study the sensitivity of the algorithm with respect to several regularization and weight parameters. Une nouvelle méthode de reconstruction pour la tomographie par faisceaux parallèles est proposée. Cette méthode est basée sur l’approche du gradient topologique. En détectant les contours sur les données grâce à l’analyse asymptotique topologique, il est possible de filtrer le bruit dans le processus d’inversion de la transformée de Radon. Des résultats expérimentaux obtenus sur des données bruitées illustrent les possibilités de cette approche prometteuse dans le domaine de traitement d’images IRM. Nous étudions également la sensibilité de l’algorithme par rapport aux différents paramètres de régularisation et pondération.

Some comments about observations and image processing of comet 29P/Schwassmann-Wachmann 1

1999 ◽  
Vol 173 ◽  
pp. 243-248
Author(s):  
D. Kubáček ◽  
A. Galád ◽  
A. Pravda
Keyword(s):  
Image Processing ◽  
Large Scale ◽  
Harvard College ◽  
Oak Ridge ◽  
Large Scale Structures ◽  
Short Period Comet ◽  
Short Period ◽  
Scale Structures ◽  
Harvard College Observatory ◽  
Period Comet

AbstractUnusual short-period comet 29P/Schwassmann-Wachmann 1 inspired many observers to explain its unpredictable outbursts. In this paper large scale structures and features from the inner part of the coma in time periods around outbursts are studied. CCD images were taken at Whipple Observatory, Mt. Hopkins, in 1989 and at Astronomical Observatory, Modra, from 1995 to 1998. Photographic plates of the comet were taken at Harvard College Observatory, Oak Ridge, from 1974 to 1982. The latter were digitized at first to apply the same techniques of image processing for optimizing the visibility of features in the coma during outbursts. Outbursts and coma structures show various shapes.

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