- ICMRA 系列讲座

Tomography of Scalar and Vector Fields: An A-Analytic Inversion Approach

组织者

张晓明

演讲者

David Omogbhe

时间

2026年06月09日 14:00 至 15:00

地点

A3-1a-205

线上

Zoom 637 734 0280 (BIMSA)

摘要

Tomographic reconstruction of scalar and vector fields arises in a broad range of inverse problems, including medical imaging, geophysical exploration, fluid diagnostics, and transport-based imaging. This talk presents an A-analytic framework for the tomographic reconstruction of scalar and vector fields from their X-ray transforms in two dimensions. This is done by reformulating associated stationary transport equations in terms of A-analytic boundary value problem and obtaining explicit inversion for both attenuated and non-attenuated case.

演讲者介绍

David Omogbhe obtained his PhD in Mathematics from Johannes Kepler University Linz, Austria. His research focuses on inverse problems, integral geometry, and mathematical imaging. His work explores the theory and inversion problems in tensor tomography, and radiative transport equations, contributing to advances in mathematical methods for imaging and reconstruction. He has authored and co-authored scholarly publications in these areas and has been affiliated with research institutions including the Johann Radon Institute for Computational and Applied Mathematics (RICAM) Austria, Johannes Kepler University Linz, and University of Vienna, Austria. David Omogbhe is currently an Independent researcher.

He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".