论文标题
3D广义分析信号与Clifford Biquaternion域中的线性典型变换有关
3-D generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain
论文作者
论文摘要
分析信号是一个有用的数学工具。它以局部相和局部幅度的形式将信号的定性和定量信息分开。克利福德傅立叶变换（CFT）在多维信号的表示中起着至关重要的作用。通过将CFT推广到Clifford线性转换（CLCT），我们提出了一种新型的Clifford Biquaternionic分析信号。由于更多自由的优势，在这个新的分析信号的帮助下，3D图像的信封检测问题可以获得更好的视觉外观。提出了综合示例以证明这些优势。
The analytic signal is a useful mathematical tool. It separates qualitative and quantitative information of a signal 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 Clifford biquaternionic analytic signal. Due to the advantages of more freedom, the envelop detection problems of 3D images, with the help of this new analytic signal, can get a better visual appearance. Synthesis examples are presented to demonstrate these advantages.
