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“九章讲坛”第429讲 — 高洁欣 副教授

日期:2021-07-19点击数:

应数学与统计学院黄玉梅教授的邀请,澳门大学数学系高洁欣副教授将于近期访问我校并作学术报告。欢迎广大师生参加。

报告题目:Robust Sparse Representation in Quaternion Space

时    间:2021年7月21日15:00

地    点:理工楼402

Abstract:Sparse representation has achieved great success across various fields including signal processing, machine learning and computer vision. However, most existing sparse representation methods are confined to the real valued data. This largely limit their applicability to the quaternion valued data, which has been widely used in numerous applications such as color image processing. Another critical issue is that their performance may be severely hampered due to the data noise or outliers in practice. To tackle the problems above, in this work we propose a robust quaternion valued sparse representation (RQVSR) method in a fully quaternion valued setting. To handle the quaternion noises, we first define a new robust estimator referred as quaternion Welsch estimator to measure the quaternion residual error. Compared to the conventional quaternion mean square error, it can largely suppress the impact of large data corruption and outliers. To implement RQVSR, we have overcome the difficulties raised by the noncommutativity of quaternion multiplication and developed an effective algorithm by leveraging the half-quadratic theory and the alternating direction method of multipliers framework. The experimental results show the effectiveness and robustness of the proposed method for quaternion sparse signal recovery and color image reconstruction.

 

高洁欣副教授简历

高洁欣,澳门大学副教授。研究方向为图像处理,包括图像分割、图像特征提取、图像分类等。基于单复变中解析函数理论和线性正则分析,高教授首次将四元数稀疏表示理论应用在了彩色人脸识别问题中,开展了在四元数线性正则变化下,基于解析信号相位的图像边缘算法研究。已经完成了1项国家自然科学基金项目,3项澳门自然科学基金项目和4项澳门大学基金项目,发表论文60余篇。获澳门自然科学技术奖三等奖。曾多次赴比利時,香港,日本,马来西亚,葡萄牙,台湾,泰国,英国进行学术访问交流。


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2021年7月19日