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Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach
In this article, we focus on tomographic reconstruction. The problem is to determine the shape of the interior interface using a tomographic approach while very few X-ray radiographs are performed.Expand
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A Penalization Approach for Tomographic Reconstruction of Binary Axially Symmetric Objects
We propose a variational method for tomographic reconstruction of blurred and noised binary images based on a penalization process of a minimization problem settled in the space of bounded variationExpand
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Significant edges in the case of non-stationary Gaussian noise
TLDR
We propose an edge detection technique based on some local smoothing of the image followed by a statistical hypothesis testing on the gradient. Expand
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Automatic Choice of the Threshold of a Grain Filter via Galton–Watson Trees: Application to Granite Cracks Detection
TLDR
The goal of this paper is the presentation of a post-processing method allowing to remove impulse noise in binary images, while preserving thin structures. Expand
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Appreciation to Journal of Mathematical Imaging and Vision Reviewers
An active curve approach for tomographic reconstruction of binary radially symmetric objects
TLDR
This paper deals with tomographic reconstruction of radially symmetric objects from a single radiograph, in order to study the behavior of shocked material. Expand
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3D Image Segmentation and Cylinder Recognition for Composite Materials
TLDR
We propose here a mathematical method exploiting tomographic data to determine carbon localization with a Markov Random Field (MRF) segmentation, identify carbon straight cylinders, and accurately determine fibers orientation. Expand
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Sphere recognition for foams composite materials images
TLDR
This paper proposes a method to detect spheres in 3D images of high density materials. Expand
Variational Methods for Tomographic Reconstruction with Few Views
We deal with a severe ill posed problem, namely the reconstruction process of an image during tomography acquisition with (very) few views. We present different methods that we have been investigatedExpand
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