Inversion of seismic-type Radon transforms on the plane

Author:

Chihara Hiroyuki1ORCID

Affiliation:

1. College of Education, University of the Ryukyus, Nishihara, Japan

Funder

Japan Society for the Promotion of Science

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. The Radon transform on a family of curves in the plane

2. The Radon transform on a family of curves in the plane. II

3. The general quadratic Radon transform

4. Jollivet A, Nguyen MK, Truong TT. Properties and Inversion of a new Radon transform on parabolas with fixed axis direction in R2. Manuscript available at: http://math.univ-lille1.fr/∼jollivet/; 2011.

5. Inversion of the seismic parabolic Radon transform and the seismic hyperbolic Radon transform

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1. Uniqueness and stability for a seismic-type generalized Radon transform;Integral Transforms and Special Functions;2024-01-30

2. Generalized Abel equations and applications to translation invariant Radon transforms;Journal of Inverse and Ill-posed Problems;2023-11-30

3. Inversion of a generalized Radon transform by algebraic iterative methods;Mathematical Methods in the Applied Sciences;2022-06-28

4. Inversion formula for the problem of integral geometry on families of parabolas;INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020;2021

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