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Mathematics in Biomedical Imaging [PDF]

open access: yesInternational Journal of Biomedical Imaging, 2007
L'imagerie biomédicale est d'une importance cruciale pour les sciences de la vie et les soins de santé. Dans ce domaine en rapide évolution, les mathématiques sont l'un des outils les plus puissants pour développer la reconstruction d'images ainsi que la théorie et les méthodes de traitement d'images.
Ming Jiang   +6 more
openaire   +3 more sources

Mathematical Methods in Biomedical Imaging [PDF]

open access: yesComputational and Mathematical Methods in Medicine, 2013
Biomedical imaging is a rapidly growing field to provide a state-of-the-art tool for preclinical biomedical research and clinical applications, in view of its ability to noninvasively reveal subtle structural variations of biological tissues and visualize in vivo physiological and pathological processes at the cellular and molecular levels ...
Wenxiang Cong   +2 more
openaire   +2 more sources

Modern Mathematics in Biomedical Imaging [PDF]

open access: yesInternational Journal of Biomedical Imaging, 2011
Over the past decades, modern mathematics is playing an increasingly important role in the development of biomedical imaging, yielding groundbreaking ideas and powerful tools for clinical and preclinical applications. Nevertheless, there are not only growing obstacles between applied mathematicians and imaging engineers to communicate more effectively ...
Yangbo Ye   +3 more
openaire   +3 more sources

On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]

open access: yes, 2018
Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
Damelin, S. B., Hoang, N. S.
core   +3 more sources

Post-surjectivity and balancedness of cellular automata over groups [PDF]

open access: yes, 2017
We discuss cellular automata over arbitrary finitely generated groups. We call a cellular automaton post-surjective if for any pair of asymptotic configurations, every pre-image of one is asymptotic to a pre-image of the other.
Capobianco, Silvio   +2 more
core   +1 more source

Mathematical Methods for Medical Imaging [PDF]

open access: yesInternational Journal of Computer Vision, 2013
Computational anatomy is an emergingdiscipline at the interface of geometry, statistics and image analysis which aims at modeling and analyzing the biological shape of tissues and organs. The goal is to estimate representative organ anatomies across diseases, populations, species or ages, to model the organ development across time (growth or aging), to
Pennec, Xavier   +2 more
openaire   +2 more sources

Optimization of structural similarity in mathematical imaging [PDF]

open access: yesOptimization and Engineering, 2020
It is now generally accepted that Euclidean-based metrics may not always adequately represent the subjective judgement of a human observer. As a result, many image processing methodologies have been recently extended to take advantage of alternative visual quality measures, the most prominent of which is the Structural Similarity Index Measure (SSIM ...
Otero D.   +3 more
openaire   +3 more sources

Finite connected components of the aliquot graph [PDF]

open access: yes, 2017
Conditional on a strong form of the Goldbach conjecture, we determine all finite connected components of the aliquot graph containing a number less than $10^9$, as well as those containing an amicable pair below $10^{14}$ or one of the known perfect or ...
Booker, Andrew R.
core   +3 more sources

Special Issue – Mathematical Imaging [PDF]

open access: yesJournal of Algorithms & Computational Technology, 2016
The multidisciplinary subject of Imaging Science concerning the generation, collection, duplication, analysis, modification, restoration, enhancement, comparison, feature extraction, and visualisation of images is developing in a rapid speed.
Chen, Ke, Lai, Choi Hong
openaire   +6 more sources

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