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Fast Slant Stack: A notion of Radon Transform for Data in a Cartesian Grid which is Rapidly Computible, Algebraically Exact, Geometrically Faithful and Invertible
Radon Transform Projection-slice theorem Sinc-Interpolation,
2015/8/21
We define a notion of Radon Transform for data in an n by n grid. It is based on summation
along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cart...
A fast butterfly algorithm for generalized Radon transforms
fast butterfly algorithm generalized Radon transforms
2015/7/14
Generalized Radon transforms, such as the hyperbolic Radon transform, cannot be implemented as efficiently in the frequency domain as convolutions, thus limiting their use in seismic data processing. ...
AVERAGES ALONG POLYNOMIAL SEQUENCES IN DISCRETE NILPOTENT GROUPS: SINGULAR RADON TRANSFORMS
AVERAGES ALONG POLYNOMIAL SEQUENCES DISCRETE NILPOTENT GROUPS SINGULAR RADON TRANSFORMS
2014/4/3
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
Radon-Nikodým compact spaces of low weight and Banach spaces
Radon-Nikod´ ym compact quasi Radon-Nikod´ ym compact
2011/2/28
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
The purpose of this announcement is to describe a development given in a series of forthcoming
papers by the authors that concern operators of the form f 7→ (x) Z f ( t (x))K (t) dt.
Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn
Residual d-bar-cohomology complex Radon transform subvarieties of CPn
2011/2/24
We show that the complex Radon transform realizes an isomorphism between the space of residual
¯ @-cohomologies of a locally complete intersection subvariety in a linearly concave domain of CPn ...
A remark on primitive cycles and the Radon transform
primitive cycles the Radon transform
2010/11/17
We show that the use of Brylinski's Radon transform elucidates some points of the Green-Griffiths approach to the Hodge conjecture.
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...
R^n上广义Radon变换的奇异值分解
广义Radon变换 球谐函数 奇异值分解
2009/10/22
当广义Radon变换限制在带权的平方可积函数空间时, 该文构造了一类广义 Radon 变换的奇异值分解,给出了它们的逆变换的一些结果, 从而导出了广义 Radon 变换的反演公式以及值域的特征.
具有一维小波变换的逆Radon变换
小波反演公式 卷积回投射方法
2007/12/11
该文得到具有一维小波Radon变换的小波逆公式,从该逆公式导出Radon变换的卷积回投射法建立了Radon变换小波逆公式与二维Radon变换卷积-回投射方法之间的渐近关系.
讨论了集值测度存在弱Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ导数的充要条件；对弱紧凸集值随机变量 给出了其条件期望存在时的一个特征．
INVERSE RADON TRANSFORM WITH ONE-DIMENSIONAL WAVELET TRANSFORM
Radon transform wavelet tran
2007/12/10
In this paper, the wavelet inverse formula of Radon transform is obtained with onedimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. ...
联系复平面上由弧长所引出的 Radon 测度的加权不等式
2007/8/27
本文考虑联系 R~n 中 Radon 测度的极大算子的加权不等式,然后应用所得的结果得到沿复平面上正则曲线的极大算子及奇异积分的加权模不等式.