Browsing by Author "Batard, Thomas"

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  • Bertalmío, Marcelo; Batard, Thomas (International Press of Boston, 2016)
    We extend two existing variational models from the Euclidean space to a vector bundle over a Riemannian manifold. The Euclidean models, dedicated to regularize or enhance some color image features, are based on the concept ...
  • Ghimpeteanu, Gabriela; Batard, Thomas; Bertalmío, Marcelo; Levine, Stacey (Institute of Electrical and Electronics Engineers (IEEE), 2016)
    In this paper, we consider an image decomposition model that provides a novel framework for image denoising. The model computes the components of the image to be processed in a moving frame that encodes its local geometry ...
  • Batard, Thomas; Bertalmío, Marcelo (Springer, 2018)
    Human perception involves many features like contours, shapes, textures, and colors to name a few. Whereas several geometric models for contours, shapes and textures perception have been proposed, the geometry of color ...
  • Cyriac, Praveen; Batard, Thomas; Bertalmío, Marcelo (SIAM (Society for Industrial and Applied Mathematics), 2014)
    Due to technical limitations, common display devices can only reproduce images having a low range of intensity values (dynamic range). As a consequence, the dynamic range of images encoding real world scenes, which is ...
  • Ghimpeteanu, Gabriela; Batard, Thomas; Bertalmío, Marcelo; Levine, Stacey (Springer, 2014)
    In this paper, we provide a new non-local method for image denoising. The key idea we develop is to denoise the components of the image in a well-chosen moving frame instead of the image itself.We prove the relevance ...
  • Martínez García, Marina; Cyriac, Praveen; Batard, Thomas; Bertalmío, Marcelo; Malo, Jesús (Public Library of Science (PLoS), 2018)
    In vision science, cascades of Linear+Nonlinear transforms are very successful in modeling a number of perceptual experiences. However, the conventional literature is usually too focused on only describing the forward ...
  • Bertalmío, Marcelo; Batard, Thomas (Springer, 2015)
    In this paper, we show that the anisotropic nonlocal total variation involved in the image regularization model of Gilboa and Osher as well as in the perceptual color correction model of Bertalmío et al. possesses a dual ...
  • Batard, Thomas; Bertalmío, Marcelo (Springer, 2013)
    We introduce a gradient operator that generalizes the Eu- clidean and Riemannian gradients. This operator acts on sections of vector bundles and is determined by three geometric data: a Rieman- nian metric on the base ...
  • Batard, Thomas (Springer, 2014)
    We present a method to perform histogram matching be- tween two color images based on the concept of harmonic mapping be- tween Riemannian manifolds. The key idea is to associate the histogram of a color image to a ...
  • Ghimpeteanu, Gabriela; Batard, Thomas; Seybold, Tamara; Bertalmío, Marcelo (The Society for Imaging Science and Technology (IS&T), 2016)
    State-of-the-art denoising methods achieve impressive results, even for large noise levels. However, they can not be implemented in camera hardware, mainly due to the fact that they are computationally too intensive. The ...
  • Ghimpeteanu, Gabriela; Kane, David; Batard, Thomas; Levine, Stacey; Bertalmío, Marcelo (Institute of Electrical and Electronics Engineers (IEEE), 2016)
    We propose a fast, local denoising method where the Euclidean curvature of the noisy image is approximated in a regularizing manner and a clean image is reconstructed from this smoothed curvature. User preference tests ...
  • Batard, Thomas; Bertalmío, Marcelo (SIAM (Society for Industrial and Applied Mathematics), 2014)
    We present a generalization of the Euclidean and Riemannian gradient operators to a vector bundle, a geometric structure generalizing the concept of manifold. One of the key ideas is to replace the standard differentiation ...
  • Bahrehmand, Arash; Batard, Thomas; Marques, Ricardo; Evans, Alun Thomas; Blat, Josep (Elsevier, 2017)
    Computational design is one of the most common tasks of immersive computer graphics projects, such as games, virtual reality and special effects. Layout planning is a challenging phase of architectural design, which ...
  • Ghimpeteanu, Gabriela (Universitat Pompeu Fabra, 2018-01-23)
    Noise acquisition is an unavoidable component when capturing photographs, even in the case of current state of the art cameras. This problem is even accentuated when the lighting conditions are not ideal. Therefore, removing ...
  • Cyriac, Praveen; Batard, Thomas; Bertalmío, Marcelo (Springer, 2014)
    Given any metric that compares images of di erent dynamic range, we propose a method to reduce their distance with respect to this metric. The key idea is to consider the metric as a non local operator. Then, we transform ...