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Modern Mathematics in Biomedical Imaging [PDF]

open access: goldInternational 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
openalex   +5 more sources

Mathematical Methods in Biomedical Imaging [PDF]

open access: goldComputational 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, Kumar Durairaj, Peng Feng
openalex   +5 more sources

Mathematical methods in medical image processing [PDF]

open access: goldBulletin of the American Mathematical Society, 2006
In this paper, we describe some central mathematical problems in medical imaging. The subject has been undergoing rapid changes driven by better hardware and software. Much of the software is based on novel methods utilizing geometric partial differential equations in conjunction with standard signal/image processing techniques as well as computer ...
Sigurd Angenent   +2 more
openalex   +4 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   +7 more sources

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   +4 more sources

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   +3 more sources

The set of all the possible compromises of a multi-level multi-objective linear programming problem

open access: yesCroatian Operational Research Review, 2022
In this paper, a new approach is developed to solve multi-level multi-objective linear programming problems (ML-MOLPP), by providing the set of all the compromises without taking into account the hierarchy of the problem.
Mustapha Kaci, Sonia Radjef
doaj   +1 more source

Brain Relatively Inert Network: Taking Adult Attention Deficit Hyperactivity Disorder as an Example

open access: yesFrontiers in Neuroscience, 2021
Resting-state functional MRI (rs-fMRI) has been increasingly applied in the research of brain cognitive science and psychiatric diseases. However, previous studies only focused on specific activation areas of the brain, and there are few studies on the ...
Hua Zhang   +5 more
doaj   +1 more source

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

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