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Images in Mathematics

Theoria, 2020
AbstractMathematical images occur in lectures, books, notes and posters, and on the internet. We extend Kennedy's proposal for classifying these images. In doing so we distinguish three uses of images in mathematics: iconic images; incidental images; and integral images.
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Mathematical aspects of impedance imaging

Clinical Physics and Physiological Measurement, 1987
The mathematical problem of reconstructing the unknown variable conductivity of an isotropic medium from a knowledge of boundary currents and voltages is an active area of mathematical research. In terms of impedance imaging the analytical problem is essentially the question 'is there only one conductivity distribution which could have produced this ...
W R, Breckon, M K, Pidcock
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Image Analysis Using Mathematical Morphology

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1987
For the purposes of object or defect identification required in industrial vision applications, the operations of mathematical morphology are more useful than the convolution operations employed in signal processing because the morphological operators relate directly to shape.
R M, Haralick, S R, Sternberg, X, Zhuang
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Mathematical morphology on l-images

Signal Processing, 1992
Abstract In most applications, morphological operations are considered as unary operations, each associated with a structuring element. Due to the problem of grey-level overflow, the associated structuring elements of morphological operations on grey-level images (functions from R n or Z n to [0, m], where m is a fixed positive number) are ...
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Students’ images of mathematics

Instructional Science, 2013
Students’ judgments about “what counts” as mathematics in and out of school have important consequences for problem solving and transfer, yet our understanding of the source and nature of these judgments remains incomplete. Thirty-five sixth grade students participated in a study focused on what activities students judge as mathematical, and how they ...
Lee Martin, Pamela Gourley-Delaney
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Mathematics of Neutron Imaging

2009
Imaging with neutrons at macro-world scales (e.g., >10 μm) requires particular understanding of the non-diffracting or refracting interactions that these electrically neutral particles have with their environment. While image formation with neutrons shares some commonality with other radiation sources such as X-rays and gamma rays, neutrons provide ...
K. W. Tobin, P. R. Bingham, J. Gregor
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A mathematical model for MIMO imaging

SPIE Proceedings, 2012
ABSTRACT Multiple Input Multiple Output- MIMO Radar is a fast growing research area. This paper will give a briefintroduction to the subject as well as derive an image formation scheme. The general problem of radar imagingis to use some physical model for a transmitted signal, and measurements of the signal that is scattered back toa receiver by a ...
Yufeng Cao   +3 more
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A Mathematical Model for Computer Image Tracking

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982
A mathematical model using an operator formulation for a moving object in a sequence of images is presented. Time-varying translation and rotation operators are derived to describe the motion. A variational estimation algorithm is developed to track the dynamic parameters of the operators.
Legters, George R. jun., Young, Tzay Y.
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Mathematics in Image Processing

2013
Table of Contents * Introduction u by H. Zhao * MRA-based wavelet frames and applications u by B. Dong and Z. Shen * Five lectures on sparse and redundant representations modelling of images u by M. Elad * Simulation of elasticity, biomechanics, and virtual surgery u by J. M. Teran, J. L.
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Mathematical Modeling of Real-World Images

Constructive Approximation, 1996
In ``Mathematical modeling of real-world images'' the author considers the problem of approximating images using appropriate mathematical objects. If \(D = [0,1]^2\), the author defines the metric space \(IM_D\) of completed graphs of bounded functions (as closed bounded subsets of \(\mathbb{R}^3)\) with the Hausdorff distance.
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