scholarly journals Intertwined Digital Rays in Discrete Radon Projections Pooled over Adjacent Prime Sized Arrays

2003 ◽  
pp. 485-494 ◽  
Author(s):  
Imants Svalbe ◽  
Andrew Kingston
Keyword(s):  
Radon Projections

scholarly journals Approximation and Reconstruction from Attenuated Radon Projections

2007 ◽  
Vol 45 (1) ◽  
pp. 108-132 ◽  
Author(s):  
Yuan Xu ◽  
Oleg Tischenko ◽  
Christoph Hoeschen
Keyword(s):  
Radon Projections

The Moving Object Detection and Research Effects of Noise on Images Based on Cellular Automata With a Hexagonal Coating Form and Radon Transform

2020 ◽  
pp. 330-359
Author(s):  
Ruslan Leonidovich Motornyuk ◽  
Stepan Mykolayovych Bilan
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Cellular Automata ◽  
Radon Transform ◽  
Experimental Analysis ◽  
Moving Objects ◽  
Image Identification ◽  
Radon Projections ◽  
Software And Hardware ◽  
Characteristic Features

Methods for image identification based on the Radon transform using hexagonal-coated cellular automata in the chapter are considered. A method and a mathematical model for the detection of moving objects based on hexagonal-coated cellular automata are described. The advantages of using hexagonal coverage for detecting moving objects in the image are shown. The technique of forming Radon projections for moving regions in the image, which is designed for a hexagonal-coated cellular automata, is described. The software and hardware implementation of the developed methods are presented. Based on the obtained results, a hexagonal-coated cellular automata was developed to identify images of objects based on the Radon transform. The Radon transform allowed to effectively extract the characteristic features of images with a large percentage of noise. Experimental analysis showed the advantages of the proposed methods of image processing and identification of moving objects.

Cubature rules for harmonic functions based on Radon projections

CALCOLO ◽  
2014 ◽  
Vol 52 (2) ◽  
pp. 153-166 ◽  
Author(s):  
Irina Georgieva ◽  
Clemens Hofreither
Keyword(s):  
Harmonic Functions ◽  
Radon Projections

scholarly journals Harmonic interpolation based on Radon projections along the sides of regular polygons

2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Irina Georgieva ◽  
Clemens Hofreither ◽  
Christoph Koutschan ◽  
Veronika Pillwein ◽  
Thotsaporn Thanatipanonda
Keyword(s):  
Harmonic Function ◽  
Finite Number ◽  
Interpolation Problem ◽  
Numerical Experiments ◽  
Regular Polygon ◽  
Harmonic Polynomial ◽  
Regular Polygons ◽  
Symbolic Summation ◽  
Radon Projections ◽  
Harmonic Interpolation

AbstractGiven information about a harmonic function in two variables, consisting of a finite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented.

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