While conventional tomography is associated to the Radon transform in Euclidean spaces, electrical impedance tomography, or EIT, is associated to the Radon transform in the hyperbolic plane. We discuss some recent work on network tomography that can be associated to a problem similar to EIT on graphs and indicate how in some sense it may be also associated to the Radon transform on trees.

A new method for compensating motion artifacts in computerized tomography is presented. The algorithm operates on the raw data, that is, on the measured Radon transform. An edge detection is performed on the Radon transform image. Two curves are obtained from these edges, which are tted by a polynomial. The pointwise diierences between the edges of the Radon transform image and the tted curves ...

MOTIVATION Arrays of three-dimensional (3D) data are ubiquitous in structural biology, biomedicine and clinical imaging. The Radon transform can be implied in their manipulation mainly for the solution of the inverse tomographic problem, since experimental data are often collected as projections or as samples of the Radon space. In electron tomography, new applications of the transform may beco...

The generalized Radon (or Hough) transform is a well-known tool for detecting parameterized shapes in an image. The Radon transform is a mapping between the image space and a parameter space. The coordinates of a point in the latter correspond to the parameters of a shape in the image. The amplitude at that point corresponds to the amount of evidence for that shape. In this paper we discuss thr...

This paper presents a new method for the exponential Radon transform inversion based on the harmonic analysis of the Euclidean motion group of the plane. The proposed inversion method is based on the observation that the exponential Radon transform can be modified to obtain a new transform, defined as the modified exponential Radon transform, that can be expressed as a convolution on the Euclid...

This paper proposes a local Radon transform-based algorithm for extraction of blood vessels in conjunctival images. This algorithm divides the image into overlapping windows and applies Radon transform to each window. Vessel direction in each window is found by detection of peak in Radon space. The proposed algorithm is capable of extracting blood vessels with a variety of widths. According to ...

Radon transform is a type of transform which is used in image processing to transfer the image into intercept-slope coordinate. Its diagonal properties made it appropriate for some applications which need processes in different degrees. Radon transform computation needs a lot of arithmetic operations which makes it a compute-intensive algorithm. In literature an approximate algorithm for comput...

A new approach to the detection of the position and the orientation of planar motion objects based on onesided Radon transform is presented. Detection of position and orientation of planar motion objects is a key to advanced object handling. First, one-sided Radon transform is introduced and its properties are investigated. Second, algorithms to detect planar motion of objects are constructed b...

In medical imaging, the Radon transform, used for tomographic reconstruction, recovers a N-Dimensional image from a set of acquired (N-1)D projections. However, it implies approximations in discrete domain. Beside this transform, Mojette transform has been developped as a discrete and exact transform. However, its construction is incompatible with physical X-Rays properties. In this paper, afte...