Applications of frame theory to diffraction data

Reference No.	2026a037
Type/Category	Grant for Young Researchers and Students- Short-term Visiting Researcher
Title of Research Project	Applications of frame theory to diffraction data
Principal Investigator	Navneet Redhu（Indian Institute of Technology Indore・Ph.D. course in Mathematics）
Research Period
Keyword(s) of Research Fields	Applied Harmonic Analysis, Frame Theory on LCA groups, Wavelets, Dynamical Sampling
Objectives and Expected Results	This project aims to establish a theoretical framework for applying generalized sampling reconstruction (Eldar, 2003; Ma, 2017) and frame theory to the analysis of discrete and incomplete measurement data arising in crystallographic structure analysis and materials science. We address stable reconstruction from diffraction data and partial Fourier measurements. It studies measurement and reconstruction frames in the presence of missing data and phase information. Combining Tomiyasu’s expertise in mathematical crystallography with the applicant’s background in sampling theory and harmonic analysis, we develop error-stable reconstruction methods for crystallographic structure estimation.
Organizing Committee Members (Workshop) Participants (Short-term Joint Usage)	富安　亮子（九州大学IMI・教授）