The Radon transform and its inversion are the mathematical keys that enable tomography.
Radon transforms are defined for continuous objects with continuous projections at all …

This paper extends the domain of the finite radon transform (FRT) to apply to square arrays
of arbitrary size. The FRT is a discrete formalism of the Radon transform that assumes the …

The discrete periodic radon transform (DPRT) has extensively been used in applications that
involve image reconstructions from projections. Beyond classic applications, the DPRT can …

This article extends the Radon transform, a classical image-processing tool for fast
tomography and denoising, to the quantum computing platform. A new kind of periodic …

The manuscript describes fast and scalable architectures and associated algorithms for
computing convolutions and cross-correlations. The basic idea is to map 2D convolutions …

Discrete tomography deals with image reconstruction of an object with finitely many gray
levels (such as two). Different approaches are used to model the raw detector reading. The …

Although x-ray tomography is commonly used to characterize the three-dimensional
structure of materials, sometimes this is impractical due either to limited time for data …

In this letter, we demonstrate how characteristics of a permutation of the Hadamard
transform (HT), known as the binary discrete Hartley transform (BDHT), can be leveraged to …

The Mojette transform and the finite Radon transform (FRT) are discrete data projection
methods that are exactly invertible and are computed using simple addition operations …

This study presents an integer‐only algorithm to exactly recover an image from its discrete
projected views that can be computed with the same computational complexity as the fast …