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A mathematical model for MIMO imaging
SPIE Proceedings, 2012ABSTRACT 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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Kuhn, Lakatos, and the Image of Mathematics
Philosophia Mathematica, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical aspects of impedance imaging
Clinical Physics and Physiological Measurement, 1987The 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 ...
M K Pidcock, W R Breckon
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Mathematics of Neutron Imaging
2009Imaging 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 ...
Kenneth W. Tobin +2 more
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Mathematical Modeling of Real-World Images [PDF]
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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A Mathematical Model for Computer Image Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982A 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.
Tzay Y. Young, George R. Legters
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Mathematical morphology on l-images
Signal Processing, 1992Abstract 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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Categories and Images of Mathematics
2004The first part of this book described the development of ideal theory from Dedekind to Noether. This account was meant to illustrate, from the perspective offered by that specific theory, the rise of a central image of twentieth-century mathematical knowledge according to which mathematics is seen as a science of structures.
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Mathematics in Image Processing
2013Table 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 methods of visualization of the images
IEEE-Siberian Workshop of Students and Young Researches. Modern Communication Technologies SIBCOM-2001. Proceedings (Cat. No.01EX452), 2002Frequently, for satellite observation of the Earth's surface, it is necessary to increase the resolution of the received images. It is possible to use an interpolation (linear, spline, etc.) to achieve this purpose. Methods of visualizing the received images by interpolation of the initial image are considered.
A. Sukhanov, D. Sukhanov
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