Laguerre-Gaussian transform for rotating image processing
Dan Wei, Jiantao Ma, Tianxin Wang, Chuan Xu, Shining Zhu, Min Xiao, Yong Zhang
Abstract
In practical applications, it is often crucial to track high-speed rotating objects. However, the traditional Fourier transform techniques are not applicable under such circumstances because the Fourier spectrum of a rotating object is changing. Here, we propose a Laguerre-Gaussian (LG) transform to analyze the rotating object. The rotation provides a feasible way to acquire a LG-mode spectrum, which does not change even the object working at a high rotating speed. By analyzing the LG spectrum, one can perform image processing such as reconstruction, edge enhancement, and pattern replication. The LG transform makes it convenient for real-time monitoring of industrial and astronomical objects.