Results 1 to 10 of about 299 (33)
Veterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021 Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori +5 more
wiley +1 more source
Integral geometry on discrete matrices
Moroccan Journal of Pure and Applied Analysis, 2021 In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
doaj +1 more source
On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies [PDF]
, 1994 We present a method which shows that in $\Eb$ the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer.
Gardner, Richard J.
core +4 more sources
Exact reconstruction formulas for a Radon transform over cones [PDF]
, 2013 Inversion of Radon transforms is the mathematical foundation of many modern tomographic imaging modalities. In this paper we study a conical Radon transform, which is important for computed tomography taking Compton scattering into account.
Haltmeier, Markus
core +1 more source
A general scheme for constructing inversion algorithms for cone beam CT
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1305-1321, 2003., 2003 Given a rather general weight function n0, we derive a new cone beam transform inversion formula. The derivation is explicitly based on Grangeat′s formula (1990) and the classical 3D Radon transform inversion. The new formula is theoretically exact and is represented by a 2D integral.
Alexander Katsevich
wiley +1 more source
Inversion Formulas for the Spherical Radon-Dunkl Transform [PDF]
, 2009 The spherical Radon-Dunkl transform $R_\kappa$, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of $h$-harmonics.
Li, Zhongkai, Song, Futao
core +6 more sources
Extension sets for real analytic functions and applications to Radon transforms
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 625-632, 1996., 1996 The real analytic character of a function f(x, y) is determined from its behavior along radial directions fθ(s) = f(scosθ, ssinθ) for θ ∈ E, where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to an entire function for θ ∈ E and f(x, y) is real analytic in ℝ2 then it also extends to an ...
Vernor Arguedas, Ricardo Estrada
wiley +1 more source
Null Spaces of Radon Transforms [PDF]
, 2015 We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical ...
Estrada, Ricardo, Rubin, Boris
core +1 more source
On Y. Nievergelt's Inversion Formula for the Radon Transform [PDF]
, 2010 Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formula which allows to reconstruct a continuous compactly supported function on the 2-plane from its Radon transform. This formula falls into the scope of the
Ournycheva, E., Rubin, B.
core +2 more sources
A note on restricted X-ray transforms [PDF]
, 2007 We show how the techniques introduces by Christ can be employed to derive endpoint $L^p-L^q$ bounds for the X-ray transform associated to the line complex generated by the curve $t\to(t,t^2,...,t^{d-1}).$ Almost-sharp Lorentz space estimates are produced
Greenleaf, Gressman, NORBERTO LAGHI
core +1 more source