- ICMRA 系列讲座

The A-Analytic Inversion Method for the Ray Transform of Symmetric 2-Tensors in Two-Dimensional Euclidean Space

组织者

张晓明

演讲者

David Omogbhe

时间

2026年06月11日 14:00 至 15:00

地点

A3-1a-205

线上

Zoom 637 734 0280 (BIMSA)

摘要

This talk concerns the inversion of the attenuated ray transform for symmetric 2-tensor fields on a bounded domain in two-dimensional Euclidean space. The data consist of line integrals (all straight lines intersecting the domain) of the components of a symmetric 2-tensor. This problem arises naturally from the linearized boundary rigidity problem in the at case: determining a perturbation of the Euclidean metric from boundary distance measurements reduces to inverting this tensor ray transform. We present a constructive inversion method based on A-analytic theory originally developed for scalar fields, and extend it to symmetric 2-tensors. By identifying the tensor field with a suitable complex-valued function and applying A-analytic function theory, the inversion reduces to solving a boundary value problem on a planar domain. This talk is part of the ICMRA program.

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".