3-D generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain
*Zhenfeng Cai (School of Science, Hubei University of technology, Wuhan, Hubei, China.)
Kit ian Kou (Department of Mathematics, Faulty of Science and Technology, University of Macau)
The analytic signal is a useful mathematical tool. It separate qualitative and quantitative information of an image in form of the local phase and local amplitude. The Clifford Fourier transform (CFT) plays a vital role in the representation of multidimensional signals, by generalizing the CFT to the Clifford linear canonical transform (CLCT), we present a new type of biquaternionic analytic signal. With the help of this new method, the envelop detection problems of 3D images can get a better visual appearance of the needle.