主讲人：胡人

主讲人简介：胡人，来自大湾区大学。博士毕业于比利时根特大学，主要从事Clifford分析Radon变换，反问题与信号处理、超几何函数等领域的研究。在Adv. App. Clifford Algebra, Complex Var. Elliptic Equ., J. Geom. Phy.等国际重要学术期刊上发表多篇学术论文。

报告内容概要：Quaternionic signal processing provides powerful tools for efficiently managing color signals by preserving the intrinsic correlations among signal dimensions through quaternion algebra. In this talk, we address the quaternionic phase retrieval problem by systematically developing novel algorithms based on an amplitude-based model. Specifically, we propose the Quaternionic Reweighted Amplitude Flow (QRAF) algorithm, which is further enhanced by three of its variants: incremental, accelerated, and adapted QRAF algorithms. Extensive numerical experiments on both synthetic data and real images, demonstrate that our proposed methods significantly improve recovery performance and computational efficiency compared to state-of-the-art approaches.