BIMSA > ICMRA Seminar Series ICMRA Seminar Series Tomography of Scalar and Vector Fields: An A-Analytic Inversion Approach
Tomography of Scalar and Vector Fields: An A-Analytic Inversion Approach
Organizer
Xiaoming John Zhang
Speaker
David Omogbhe
Time
Tuesday, June 9, 2026 2:00 PM - 3:00 PM
Venue
A3-1a-205
Online
Zoom 637 734 0280 (BIMSA)
Abstract
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.