منابع مشابه
Two Bounds for the X-ray Transform
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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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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An analysis of the discrete wavelet transform of dipping segments with a signal of given frequency band leads to a quantitative explanation of the known division of the two-dimensional wavelet transform into horizontal, vertical and diagonal emphasis panels. The results must be understood in a \fuzzy" sense: since wavelet mirror lters overlap, the results stated can be slightly violated with vi...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2009
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-009-0589-5