کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615289 | 1339312 | 2015 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces](/preview/png/4615289.png)
چکیده انگلیسی
In many tomographic applications and elsewhere, there arises a need to reconstruct a function from the data on the boundary of some domain given either by the spherical means of the function, or by the corresponding solution of the free-space wave equation. In this paper, we show that the so-called universal back-projection formulas provide exact recovery of the unknown function with compact support for data on any quadric hypersurfaces that can be approximated by elliptic hypersurfaces. These quadric hypersurfaces include elliptic paraboloid as well as parabolic and elliptic cylinders.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 1, 1 September 2015, Pages 366–382
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 1, 1 September 2015, Pages 366–382
نویسندگان
Markus Haltmeier, Sergiy Pereverzyev Jr.,