應(yīng)yl7703永利官網(wǎng)黃玉梅教授的邀請，澳門大學(xué)數(shù)學(xué)系高潔欣副教授將于近期訪問我校并作學(xué)術(shù)報告。歡迎廣大師生參加。

報告題目：Robust Sparse Representation in Quaternion Space

時    間：2021年7月21日15:00

地    點：理工樓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.

高潔欣副教授簡歷

高潔欣,澳門大學(xué)副教授。研究方向為圖像處理，包括圖像分割、圖像特征提取、圖像分類等?；趩螐?fù)變中解析函數(shù)理論和線性正則分析，高教授首次將四元數(shù)稀疏表示理論應(yīng)用在了彩色人臉識別問題中，開展了在四元數(shù)線性正則變化下，基于解析信號相位的圖像邊緣算法研究。已經(jīng)完成了1項國家自然科學(xué)基金項目，3項澳門自然科學(xué)基金項目和4項澳門大學(xué)基金項目，發(fā)表論文60余篇。獲澳門自然科學(xué)技術(shù)獎三等獎。曾多次赴比利時，香港，日本，馬來西亞，葡萄牙，臺灣，泰國，英國進(jìn)行學(xué)術(shù)訪問交流。

甘肅應(yīng)用數(shù)學(xué)中心

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點實驗室

yl7703永利官網(wǎng)

萃英學(xué)院

2021年7月19日