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

The Radon Transform and Some of Its Applications


The.Radon.Transform.and.Some.of.Its.Applications.pdf
ISBN: 9780486462417 | 304 pages | 8 Mb


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



The Fourier Transform and its Applications Video Lectures, Stanford Online Course, free tutorials and lecture notes, free download, Educational Lecture Videos. It is introduced into the analysis of crystallographic preferred orientation and identified with the More Brought to you by AQnowledge, precision products for scientists. Deans | Mathematics - 2007-10-19. Group actions on the plane can be naturally prolonged onto the entries of the Pascal triangle. CiteULike uses cookies, some of which may already have been set. R., 2007: The Radon Transform and some of its Applications. 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). 295 pages, The Radon Transform and Some of Its Applications. This volume covers classical linear systems theory and its applications to biomedicine. Key Words: Electron microscopy - image processing - three-dimensional reconstruction - Radon transform - image alignment - image classification - cross-correlation - single particles - random conical - angular refinement. 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. G., 2010: The Mathematics of Medical Imaging. 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. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. It also describes the analytical signal and the Hilbert transform and some of its biomedical applications. Radon Transform Hough Transform is the derivative of the Radon Transform. 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. 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.





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