A discrete approach to monogenic analysis through Radon transform

Raphaël Soulard (1) , Philippe Carré (1)

1 XLIM-SIC - SIC

Monogenic 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.

Mots clés: Monogenic; Radon; Riesz; Discrete; Image analysis

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]

Raphaël Soulard, Philippe Carré. A discrete approach to monogenic analysis through Radon transform. Applied Geometric Algebras in Computer Science and Engineering (AGACSE 2012), Jul 2012, La Rochelle, France. Paper 40. ⟨hal-00740131⟩