Abstract
We demonstrate a quaternion-based phase and axis retrieval algorithm and a quaternionic realization of the Gerchberg–Saxton method, particularly suitable for RGB images. The RGB image is represented here as quaternion-valued image in polar form with the components quaternionic magnitude, axis and phase. We discuss their importance and relations in spatial and Fourier domain. We illustrate three versions of retrieval: the quaternionic phase only, the axis only and the joint phase and axis retrieval algorithm derived from the classical Gerchberg–Saxton algorithm. We discuss how the retrieval results are influenced by the choice of the Fourier axis of the quaternionic Fourier transform. Finally, we show that by including more constraints and prior knowledge, respectively, the retrieval can be improved.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
