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The Radon Transform and Some of Its Applications

The Radon Transform and Some of Its Applications. Stanley R. Deans

The Radon Transform and Some of Its Applications

ISBN: 9780486462417 | 304 pages | 8 Mb

Download The Radon Transform and Some of Its Applications

The Radon Transform and Some of Its Applications Stanley R. Deans
Publisher: Dover Publications

It examines the important use of joint time-frequency analysis to characterize non-stationary physiological signals, and explores the mathematics of tomographic imaging (the Radon transform, the Fourier slice theorem, and the filtered back-projection algorithm). IntegralTransforms and Their Applications Second Edition Lokenath Debnath Dambaru Bhatta Contents 1 Integral Transforms 1 1.1 Brief Historical Introduction . It is introduced into the analysis of crystallographic preferred orientation and identified with the More Brought to you by AQnowledge, precision products for scientists. 554 18.8 Applications of the Radon Transform . We study the prolongation of some common group actions, such as rotations and reflections, and we propose simple tests for detecting equivalences and self-equivalences under these group actions. Of the Radon Transform and the Parseval Relation . Various Hough and especially Radon Transforms have found various applications within the computer vision, image processing, pattern recognition and seismic. Radon Transform Hough Transform is the derivative of the Radon Transform. Written by one of the chief contributors to the modern theory of the Radon transform, this book gives a systematic and concise exposition on the field. This volume covers classical linear systems theory and its applications to biomedicine. Now back to the nitty gritty: the radon transform. Feature However, some variations such as clothing, types of shoes, the environment of walking and age affect the gait. If you Google the “radon transform” you'll probably get the Wikipedia page with a scary looking equation. Robustness against image noises and reducing data dimensionality can be achieved by using Radon Transform, as well as capturing variations of Mean Gait Energy Images (MGEIs) over their centers. The generalized totally geodesic Radon transform associates the mean values over spherical tori to a function f defined on ð •Š3⊂ℍ, where the elements of ð •Š3 are considered as quaternions representing rotations. They propose a similar method for Radon in the sense that it also calculates functionals of the image function along lines criss-crossing its domain. In particular, we show that the entries of row k of this triangle correspond to the Fourier series coefficients of the moment of order k of the Radon transform of the image. Group actions on the plane can be naturally prolonged onto the entries of the Pascal triangle. 584 Appendix A Some Special Functions and Their Properties 587 A-1 Gamma, Beta, and Error Functions . CiteULike uses cookies, some of which may already have been set. It also describes the analytical signal and the Hilbert transform and some of its biomedical applications.

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