A general scheme for constructing inversion algorithms for cone beam CT.
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Displaying 1 – 20 of 56
A mixed norm estimate for the X-ray tranform.
Thomas Wolff (1998)
Revista Matemática Iberoamericana
A support theorem for the complex Radon transform.
A. B. Sekerin (1999)
Collectanea Mathematica
An X-ray transform estimate in Rn.
Izabella Laba, Terence Tao (2001)
Revista Matemática Iberoamericana
We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
Back-scattering and nonlinear Radon transformation
Anders Melin (1998/1999)
Séminaire Équations aux dérivées partielles
Characterization of the range of the Radon transform on homogeneous trees.
Tarabusi, Enrico Casadio, Cohen, Joel M., Colonna, Flavia (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - I.
J. Bros, G.A. Viano (1996)
Forum mathematicum
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - II.
J. Bros, G.A. Viano (1996)
Forum mathematicum
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - III.
J. Bros, G.A. Viano (1997)
Forum mathematicum
Directional operators and mixed norms.
Javier Duoandikoetxea (2002)
Publicacions Matemàtiques
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calderón and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. In dimensions higher than two several interesting questions remain unanswered.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential...
Discrete analogues of singular and maximal Radon transforms.
Wainger, Stephen (1998)
Documenta Mathematica
Estimation of anisotropic gaussian fields through Radon transform
Hermine Biermé, Frédéric Richard (2008)
ESAIM: Probability and Statistics
We estimate the anisotropic index of an anisotropic fractional brownian field. For all directions, we give a convergent estimator of the value of the anisotropic index in this direction, based on generalized quadratic variations. We also prove a central limit theorem. First we present a result of identification that relies on the asymptotic behavior of the spectral density of a process. Then, we define Radon transforms of the anisotropic fractional brownian field and prove that these processes admit...
Estimation of anisotropic Gaussian fields through Radon transform
Hermine Biermé, Frédéric Richard (2007)
ESAIM: Probability and Statistics
We estimate the anisotropic index of an anisotropic fractional Brownian field. For all directions, we give a convergent estimator of the value of the anisotropic index in this direction, based on generalized quadratic variations. We also prove a central limit theorem. First we present a result of identification that relies on the asymptotic behavior of the spectral density of a process. Then, we define Radon transforms of the anisotropic fractional Brownian field and prove that these processes...
Examples of Non-Uniqueness for the Combinatorial Radon Transform Modulo the Symmetric Group.
Jan Boman, Svante Linusson (1996)
Mathematica Scandinavica
Extension of separately analytic functions and applications to range characterization of the exponential Radon transform
Ozan Öktem (1998)
Annales Polonici Mathematici
We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.
Extension sets for real analytic functions and applications to Radon transforms.
Arguedas, Vernor, Estrada, Ricardo (1996)
International Journal of Mathematics and Mathematical Sciences
Geometry of stationary sets for the wave equation in . The case of finitely supported initial data: An announcement.
Agranovsky, Mark L., Quinto, Eric Todd (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Harmonic interpolation based on Radon projections along the sides of regular polygons
Irina Georgieva, Clemens Hofreither, Christoph Koutschan, Veronika Pillwein, Thotsaporn Thanatipanonda (2013)
Open Mathematics
Given information about a harmonic function in two variables, consisting of a finite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented.
Injectivité de la transformation de Radon sur les grassmanniennes
Jacques Gasqui, Hubert Goldschmidt (1999/2000)
Séminaire de théorie spectrale et géométrie
Injectivity Sets for Spherical Means on the Heisenberg Group.
Mark L. Agranovsky, Rama Rawat (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Currently displaying 1 – 20 of 56
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