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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

NON-LINEAR MULTI-FRAME IMAGE DENOISING USING WEIGHTED NUCLEAR NORM MINIMIZATION [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021
We address the problem of constructing single low noise image from a sequence of multiple noisy images. We use the approach based on finding and averaging similar blocks in the image and extend it to multiple images.
A. V. Nasonov   +2 more
doaj   +1 more source

CNN-BASED UNSUPERVISED REGISTRATION OF TIME-LAPSE MICROSCOPY IMAGE SEQUENCES [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023
Image registration is widely used in live cell microscopy image analysis to compensate for the cell motion. It is a challenging task as the cell is not only moving (which causes rotation and translation), but also changes its form in time making the ...
N. A. Anoshina, D. V. Sorokin
doaj   +1 more source

HUMAN IMAGE MATTING BASED ON CONVOLUTIONAL NEURAL NETWORK AND PRINCIPAL CURVATURES [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021
Image matting often requires advanced image processing, especially in conditions, when small details such as hair are present in the image. In this article the hybrid method for human image matting based on convolutional neural network and principal ...
T. B. Sagindykov, E. A. Pavelyeva
doaj   +1 more source

Quantum State Assignment Flows

open access: yesEntropy, 2023
This paper introduces assignment flows for density matrices as state spaces for representation and analysis of data associated with vertices of an underlying weighted graph.
Jonathan Schwarz   +5 more
doaj   +1 more source

Teachers’ Reactions to Educational Television Programs during the Pandemic and Their Implied Images of Mathematics Teaching

open access: yesEducation Sciences, 2023
In this paper, we discuss the images of mathematics and its teaching, as expressed by mathematics teachers, in reaction to educational programs broadcasted by Polish public television channels during the first lockdown in 2020.
Konstantinos Tatsis, Bożena Maj-Tatsis
doaj   +1 more source

Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding

open access: yesMathematics, 2023
In this paper, a new one-dimensional fractional chaotic map is proposed and an image encryption scheme based on parallel DNA coding is designed by using the chaotic map.
Shenli Zhu   +3 more
semanticscholar   +1 more source

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