Results 191 to 200 of about 1,413 (221)

A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices. [PDF]

Complex Anal Oper Theory
Eichinger B, Lukić M, Young G.
europepmc   +1 more source

Generalized multi-directional discrete Radon transform

Signal Processing, 2013
This paper presents a discrete generalized multi-directional Radon transform (GMDRT)1 and its exact inversion algorithm. GMDRT is an extension of the classical Radon transform. It aims to project parameterized curves and geometric objects following several directions. For this purpose, we propose an algebraic formalism of the Radon Transform presenting
Elouadi, Ines, Fournier, Régis, Nait-Ali, Amine, Hamouda, Atef   +3 more
exaly   +6 more sources

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The discrete periodic Radon transform

IEEE Transactions on Signal Processing, 1996
In this correspondence, a discrete periodic Radon transform and its inversion are developed. The new discrete periodic Radon transform possesses many properties similar to the continuous Radon transform such as the Fourier slice theorem and the convolution property, etc. With the convolution property, a 2-D circular convolution can be decomposed into 1-
Daniel P K Lun, Wan-Chi Siu
exaly   +2 more sources

Comments on “The Discrete Periodic Radon Transform”

IEEE Transactions on Signal Processing, 2010
In the above paper, the new discrete periodic Radon transform was proposed. We would like to prove that this transform was published earlier by Artyom Grigoryan in 1984 and 1986 in the USSR and was known as the tensor, or vector transform. The applications of the tensor and more advanced, paired transforms for image reconstruction of discrete images ...
Artyom M Grigoryan
exaly   +2 more sources

Reply to “Comments on ‘The Discrete Periodic Radon Transform’”

IEEE Transactions on Signal Processing, 2010
This paper presents the reply for the comment made on "The Discrete Periodic Radon Transform" by A. M. Grigoryan. This comment presents a series of paper about tensor and paired transform as applied to the fast realization of two-dimensional discrete Fourier transform. The reply indicates that the claim made by A.M Grigoryan was incorrect.
Tai-Chiu Hsung, Daniel P K Lun, Wan-Chi Siu   +2 more
exaly   +2 more sources

The fast discrete Radon transform. I. Theory

IEEE Transactions on Image Processing, 1993
An inversion scheme for reconstruction of images from projections based on the slope-intercept form of the discrete Radon transform is presented. A seminal algorithm for the forward and the inverse transforms proposed by G. Beylkin (1987) demonstrated poor dispersion characteristics for steep slopes and could not invert transforms based on nonlinear ...
V K Madisetti
exaly   +3 more sources

Fingerprint recognition using Polynomial Discrete Radon Transform

2014 4th International Conference on Image Processing Theory, Tools and Applications (IPTA), 2014
This paper presents a new approach to identify persons using their fingerprints. The proposed approach is based on the Polynomial Discrete Radon Transform (PDRT). The PDRT extends the Classical Radon Transform (RT) by generalizing the curves used for the projection. In fact, the classical Radon projection is restricted to straight lines.
Ines Elouedi, Hamdi Dhikra, Régis Fournier, Nait-Ali Amine, Atef Hamouda   +4 more
openaire   +2 more sources

A Fast Discrete Approximation Algorithm for the Radon Transform

SIAM Journal on Computing, 1998
Summary: This paper addresses fast parallel methods for the computation of the Radon (or Hough) transform. The Radon transform of an image is a set of projections of the image taken at different angles. Its computation is important in image processing and computer vision for problems such as pattern recognition and reconstruction of medical images.
exaly   +3 more sources

A new algorithm to compute the discrete inverse radon transform

Multidimensional Systems and Signal Processing, 1992
The author considers the well known Radon transform \([Rf](W,d)\) over \(S^{n-1}\times\mathbb{R}\) and first introduces a generalized Radon transform \([Pf](\vec U,s)\) over \(\mathbb{R}^ n\) under different measure. The inverse of \(P\) is explicitly evaluated. Now the two-dimensional case is focused with two corresponding transforms \(P_ i\), \(i=1,2\
exaly   +3 more sources

Error estimation of discrete convolution back projection for discrete Radon transform

International Journal of Information and Communication Technology, 2015
In computerised tomography, an image must be recovered from its sampled projections in the form of Radon transform. In this work, we propose a method for recovering the image from convolution backprojection algorithm for discrete Radon transform. This method is easy to implement with some arithmetic operations without interpolation.
Tanuja Srivastava
exaly   +2 more sources