A discrete approach to monogenic analysis through Radon transform

8 pagesInternational audienceMonogenic analysis is gaining interest in the image processing community as a true signal processing tool for 2D signals. Unfortunately, it is only defined in the continuous case. We address this issue by proposing an innovative scheme that uses a discrete Radon transform based on discrete geometry. Radon domain signal processing and monogenic analysis is studied and performance is shown to be equivalent to the usual FFT-based algorithms. The advantage is that extensions to filterbanks and to higher dimensions are facilitated, thanks to the perfect invertibility and computational simplicity of the used Radon algorithm