Applications of frame theory to diffraction data
| 整理番号 | 2026a037 |
|---|---|
| 種別 | 若手・学生研究-短期研究員 |
| 研究計画題目 | Applications of frame theory to diffraction data |
| 研究代表者 | Navneet Redhu（Indian Institute of Technology Indore・Ph.D. course in Mathematics） |
| 研究分野のキーワード | Applied Harmonic Analysis, Frame Theory on LCA groups, Wavelets, Dynamical Sampling |
| 目的と期待される成果 | 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. |
| 組織委員(研究集会) 参加者(短期共同利用) |
富安 亮子（九州大学IMI・教授） |