کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605385 | 1337568 | 2011 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles](/preview/png/4605385.png)
چکیده انگلیسی
The inversion of the one-dimensional Radon transform on the rotation group SO(3) is an ill-posed inverse problem that can be applied to X-ray tomography with polycrystalline materials. This paper is concerned with the development of a method to stably approximate the inverse of the noisy Radon transform on SO(3). The proposed approach is composed by basic building blocks of the coorbit theory on homogeneous spaces, Gabor frame constructions and variational principles for sparse recovery. The performance of the finally obtained iterative approximation is studied through several experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 31, Issue 3, November 2011, Pages 325-345
Journal: Applied and Computational Harmonic Analysis - Volume 31, Issue 3, November 2011, Pages 325-345