讲座编号：jz-yjsb-2016-y097
讲座问题：Envelope Detection Using Generalized Analytic Signal
主 讲 人：Kit Ian Kou 教授 University of Macau
讲座时间：2016年12月30日（周五）下昼14:00
讲座所在：阜成路东校区一号楼241室
主理单位：研究生院
承办单位：理学院
主讲人简介：
Kit Ian Kou is a Professor at the University of Macau. Her current research interests include Fourier analysis, sampling theory, time-frequency analysis, signal and image processing. Prof. Kou is a Life Member of Clare Hall, University of Cambridge, United Kingdom.
主讲内容：
The hypercomplex 2D analytic signal have been proposed by several authors with applications in color image processing. The analytic signal enables to extract local features from images. It has the fundamental property of split of identity, meaning that it separates qualitative and quantitative information of an image in form of the local phase and the local amplitude. The extension of analytic signal of linear canonical transform domain from 1D to 2D, covering also intrinsic 2D structures, was proposed. We use this improved concept on envelope detector. The quaternion Fourier transform plays a vital role in the representation of multidimensional signals. The quaternion linear canonical transform (QLCT) is a well-known generalization of the quaternion Fourier transform. we study some valuable properties of the two-sided QLCT. Different approaches to the 2D quaternion Hilbert transforms are proposed that allow the calculation of the associated analytic signals, which can suppress the negative frequency components in the QLCT domains. As an application, examples for edge detection demonstrate the effectiveness of our approach.