Laguerre-Gaussian transform for rotating image processing

Abstract

Rotation is a common motional form in nature, existing from atoms and molecules, industrial turbines to astronomical objects. However, it still lacks an efficient and reliable method for real-time image processing of a fast-rotating object. Since the Fourier spectrum of a rotating object changes rapidly, the traditional Fourier transform (FT) techniques become extremely complicated and time consuming. Here, we propose a Laguerre-Gaussian (LG) transform to analyze the rotating object with LG-mode basis. The rotation operation provides a feasible way to acquire LG spectrum, which is similar to the function of lens in FT. Particularly, the obtained LG spectrum 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. Such LG transform provides an efficient and convenient way to real-time monitor and analyze a fast-rotating object in scientific research and industry.

References in corpus (9)

• Entanglement of Orbital Angular Momentum States of Photons
• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
• Theoretical analysis and experimental verification on optical rotational Doppler effect
• Using a Complex Optical Orbital-Angular-Momentum Spectrum to Measure Object Parameters: A Spatial Domain Approach
• Free-space remote sensing of rotation at photon-counting level
• Generating controllable Laguerre-Gaussian laser modes through intracavity spin-orbital angular momentum conversion of light
• Generation of high-purity higher-order Laguerre-Gauss beams at high laser power
• Two-Photon Spiral Imaging with Correlated Orbital Angular Momentum States