AI Chat AI Image Generator AI Video Text to Speech

An Application of Abel's Method to the Inverse Radon Transform

10/20/2019

∙

by Shavkat Alimov, et al.

∙

∙

A method of approximating the inverse Radon transform on the plane by integrating against a smooth kernel is investigated. For piecewise smooth integrable functions, convergence theorems are proven and Gibbs phenomena are ruled out. Geometric properties of the kernel and their implications for computer implementation are discussed. Suggestions are made for applications and an example is presented.

Shavkat Alimov
1 publication
Joseph David
1 publication
Alexander Nolte
12 publications
Julie Sherman
1 publication

research

∙ 06/09/2016

Inverse Mellin Transform of Holonomic Sequences

We describe a method to compute the inverse Mellin transform of holonomi...

0 Jakob Ablinger, et al. ∙

research

∙ 09/26/2016

Implementing RBAC model in An Operating System Kernel

In this paper, the implementation of an operating system oriented RBAC m...

0 Zhiyong Shan, et al. ∙

research

∙ 09/23/2021

Piecewise Padé-Chebyshev Reconstruction of Bivariate Piecewise Smooth Functions

We extend the idea of approximating piecewise smooth univariate function...

0 Akansha Singh, et al. ∙

research

∙ 10/23/2019

Adaptive Padé-Chebyshev Type Approximation to Piecewise Smooth Functions

The aim of this article is to study the role of piecewise implementation...

0 S. Akansha, et al. ∙

research

∙ 07/22/2019

On the simulation of the Hawkes process via Lambert-W functions

Several methods have been developed for the simulation of the Hawkes pro...

0 Martin Magris, et al. ∙

research

∙ 10/14/2021

Adaptive Padé-Chebyshev Type Approximation of Piecewise Smooth Functions

A piecewise Padé-Chebyshev type (PiPCT) approximation method is proposed...

0 S. Akansha, et al. ∙

research

∙ 09/30/2019

A Critique of the Smooth Inverse Frequency Sentence Embeddings

We critically review the smooth inverse frequency sentence embedding met...

0 Aidana Karipbayeva, et al. ∙