کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417403 | 1339290 | 2016 | 11 صفحه PDF | دانلود رایگان |
In recent years, many types of elliptical Radon transforms that integrate functions over various sets of ellipses/ellipsoids have been considered, relating to studies in bistatic synthetic aperture radar, ultrasound reflection tomography, radio tomography, and migration imaging. In this article, we consider the transform that integrates a given function in Rn over a set of ellipses (when n=2) or ellipsoids of rotation (when nâ¥3) with foci restricted to a hyperplane. We show a relation between this elliptical Radon transform and the regular Radon transform, and provide the inversion formula for the elliptical Radon transform using this relation. Numerical simulations are performed to demonstrate the suggested algorithms in two dimensions, and these simulations are also provided in this article.
Journal: Journal of Mathematical Analysis and Applications - Volume 436, Issue 1, 1 April 2016, Pages 138-148