Fast parallel algorithms for the x-ray transform and its adjoint
نویسندگان
چکیده
منابع مشابه
The X-ray Transform and its Application in Nano Crystallography
In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological group E(n)- the Euclidean group - acts on ℝ2 transitively. First someproperties of the Radon transform are investigated then the relationship ...
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We use the arithmetic-combinatorial method of Katz and Tao to give mixed-norm estimates for the x-ray transform on R when d ≥ 4. As an application, we obtain an improved estimate for the Hausdorff dimension of (d, k) sets, which are subsets of R containing a translate of every k-plane.
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ژورنال
عنوان ژورنال: Medical Physics
سال: 2012
ISSN: 0094-2405
DOI: 10.1118/1.4761867