Results 11 to 20 of about 16,091 (269)

A two cones support theorem [PDF]

open access: yesOpuscula Mathematica, 2016
We show that if the Radon transform of a distribution \(f\) vanishes outside of an acute cone \(C_{0}\), the support of the distribution is contained in the union of \(C_{0}\) and another acute cone \(C_{1}\), the cones are in a suitable position, and ...
Ricardo Estrada
doaj   +1 more source

Scale-discretised ridgelet transform on the sphere [PDF]

open access: yes, 2019
We revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere. Viewing the spherical Radon transform in this manner leads to a straightforward derivation of its spherical harmonic ...
candes   +12 more
core   +2 more sources

Document Skew Detection and Correction Algorithm using Wavelet and Radon Transforms [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2009
:As part of research into document image processing, an algorithm has been developed to detect and correct the degree of skew in a scanned image. The principal components of the algorithm are the wavelet and radon transforms.
F.A. Al-adhadh   +2 more
doaj   +1 more source

Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

open access: yesAdvances in Mathematical Physics, 2018
This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon ...
Sunghwan Moon
doaj   +1 more source

Exact reconstruction formulas for a Radon transform over cones [PDF]

open access: yes, 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 range description for the planar circular Radon transform [PDF]

open access: yes, 2005
The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk.
Ambartsoumian, Gaik, Kuchment, Peter
core   +3 more sources

Gegenbauer Transforms via the Radon Transform [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 1979
Use is made of the Radon transform on even dimensional spaces and Gegenbauer functions of the second kind to obtain a general Gegenbauer transform pair. In the two-dimensional limit the pair reduces to a Chebyshev transform pair.
openaire   +2 more sources

On the V-Line Radon Transform and Its Imaging Applications

open access: yesInternational Journal of Biomedical Imaging, 2010
Radon transforms defined on smooth curves are well known and extensively studied in the literature. In this paper, we consider a Radon transform defined on a discontinuous curve formed by a pair of half-lines forming the vertical letter V.
M. Morvidone   +3 more
doaj   +1 more source

Improved blood velocity measurements with a hybrid image filtering and iterative Radon transform algorithm

open access: yesFrontiers in Neuroscience, 2013
Neural activity leads to hemodynamic changes which can be detected by functional magnetic resonance imaging (fMRI). The determination of blood flow changes in individual vessels is an important aspect of understanding these hemodynamic signals.
Pratik Yashvant Chhatbar, Prakash eKara
doaj   +1 more source

Scale space Radon transform

open access: yesIET Image Processing, 2021
An extension of Radon transform by using a measure function capturing the user need is proposed. The new transform, called scale space Radon transform, is devoted to the case where the embedded shape in the image is not filiform.
Djemel Ziou   +2 more
doaj   +1 more source

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