报告人：Kit Ian KOU (高潔欣 University of Macau)

报告题目：Quaternion analytic signal and phase-based edge detection

报告人简介：B.Ed. in Mathematics, University of Macau (1996).M.Sc. in Mathematics, University of Macau (1999).Ph.D. in Mathematics, University of Macau (2005).Associate Professor, (2013 - present) Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao.

报告摘要: Quaternion analytic signal is regarded as a generalization of analytic signal from 1D to 4D space. It is defined by an original signal with its quaternion partial and total Hilbert transforms. The quaternion analytic signal provides the signal features representation, such as the local amplitude and local phase angle, the latter includes the structural information of the original signal. The aim of the present study is twofold. Firstly, it attempts to analyze the Plemelj-Sokhotzkis formula associated with quaternion Fourier transform and quaternion linear canonical transform. With these formulae, we show that the quaternion analytic signals are the boundary values of quaternion Hardy functions in the upper half space of 2 complex variables space. Secondly, the quaternion analytic signal can be extended to the quaternion Hardy function in the upper half space of 2 complex variables space. Two novel types of phase-based edge detectors are proposed, namely, quaternion differential phase angle and quaternion differential phase congruency methods. In terms of peak signal-to-noise ratio and structural similarity index measure, comparisons with competing methods on real-world images consistently show the superiority of the proposed methods.

报告时间: 2018年3月27日（星期二）下午14：30-15.30

报告地点: 科技楼南楼602室